Open Access Article
This Open Access Article is licensed under a Creative Commons Attribution-Non Commercial 3.0 Unported Licence

Lab-on-a-chip insights: advancing subsurface flow applications in carbon management and hydrogen storage

Junyi Yang , Nikoo Moradpour, Lap Au-Yeung and Peichun Amy Tsai*
Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta T6G 2R3, Canada. E-mail: peichun.amy.tsai@ualberta.ca

Received 2nd May 2025 , Accepted 23rd October 2025

First published on 7th January 2026


Abstract

The transition to sustainable energy is crucial for mitigating climate change impacts, with hydrogen and carbon storage and utilization technologies playing pivotal roles. This review highlights the integral and useful role of microfluidic technologies in advancing subsurface fluid dynamics for carbon capture, utilization, and storage (CCUS), enhanced oil recovery (EOR), and underground hydrogen storage (UHS). In particular, microfluidic platforms provide clear and insightful visualization of fluid–fluid and fluid–solid interactions at the pore scale, crucial for understanding and further optimizing processes for CO2 sequestration, hydrogen storage, and oil displacement in various geological formations. We first discuss the development of lab-on-a-chip devices that accurately mimic subsurface conditions, allowing detailed studies of complex phenomena including viscous fingering, capillary trapping, phase behavior during CCUS and EOR processes, and the hysteresis effects unique to hydrogen storage cycles. We also discuss the dynamics of CO2 gas and foam in enhancing oil recovery and the innovative use of hydrogen foam to mitigate issues associated with pure hydrogen gas storage. The integration of advanced imaging, spectroscopic techniques, and machine learning (ML) with microfluidic experiments has enriched our understanding and opened new pathways for predictive capabilities and operational optimization in CCUS, EOR, and UHS applications. We further emphasize the critical need for continued research into microfluidic applications, e.g., incorporating state-of-the-art ML to optimize microfluidic experiments and parameters, and UHS enhancement through favorable microbial activities and suppression of reactions in H2 foam, aiming at refining storage strategies and exploiting the full potential of these technologies towards a sustainable energy future.


1 Introduction

As global warming accelerates, with temperatures reaching 1.36 °C above the late 19th-century levels in 2023,1 the urgency to mitigate greenhouse gas emissions intensifies. Strategies to combat this issue include improving fossil fuel extraction through enhanced oil recovery (EOR), implementing carbon capture, utilization, and storage (CCUS) technologies, and expanding renewable energy sources such as solar, wind, hydropower, geothermal, and biomass.2 Subsurface porous media play a vital role in carbon management and energy storage. Geological formations, such as deep saline aquifers and depleted petroleum reservoirs, serve as primary reservoirs for carbon capture and storage (CCS), offering substantial CO2 storage capacity and potential for EOR applications.3,4 For example, the Weyburn–Midale Carbon Dioxide Project in Saskatchewan, Canada, one of the world's largest CO2-EOR projects, has achieved over 20 Mt of CO2 injection to date.5 Similarly, underground porous structures, including depleted oil and gas reservoirs, saline aquifers, and salt caverns, have emerged as vital sites for large-scale hydrogen storage.6 Underground hydrogen storage (UHS) facilitates the injection, withdrawal, and reuse of hydrogen to balance the intermittency of renewable energy.6 Together, these subsurface technologies are crucial for reducing greenhouse gas emissions and supporting the transition to a sustainable energy future.

The macro-scale processes of oil recovery, CO2, and H2 storage are fundamentally governed by fluid interactions and dynamics within porous rocks, fractures, shale formations, and other subsurface geological structures.7,8 Traditional studies of subsurface porous media flow have commonly employed core flooding techniques, involving cylindrical sandstone and carbonate core samples as the test medium.7 These samples are made of optically opaque materials, which poses limitations and makes direct visualization challenging.7 Although advanced micro-computed tomography (micro-CT) and nuclear magnetic resonance (NMR)7 offer valuable insights into fluid flow within three-dimensional (3D) pore structures, their high costs and complex setups restrict routine laboratory analysis.7 Microfluidics, in contrast, has emerged as a versatile platform for studying multiphase flow processes in subsurface applications.7–12 Microfluidic lab-on-a-chip systems, with fluid channels ranging from 100 nm–100 μm,13,14 enable precise fluid manipulation, rapid testing, and clear optical access, making them powerful for investigating flow and transport phenomena in subsurface systems.7

This review highlights the critical role of microfluidic visualization in optimizing parameters and advancing the understanding of flow and transport mechanisms in subsurface porous media. Early microfluidic studies in the energy sector primarily focused on visualizing fluid–fluid displacement.12,15–18 However, recent advancements in lab-on-a-chip technology have expanded their capabilities significantly. Developments in high-pressure and high-temperature platforms,19,20 complex surface modifications,21–24 and nano-scale pore structures10,25 have allowed researchers to replicate realistic reservoir conditions. These advancements have enhanced our understanding of fluid–fluid interactions under reservoir pressure and temperature conditions, as well as fluid–solid interactions influenced by engineered surface properties.12 The forthcoming section 2 reviews microfabrication techniques focusing on soft lithography and high-pressure microfabrication, as well as applications of machine learning coupled with microfluidic systems.

The microfluidics community has contributed comprehensive literature reviews on topics including enhanced oil recovery (EOR) applications,7,11 CO2 sequestration in saline aquifers,26 fluid analysis,12 phase behavior characterization,10 liquid foam studies,27 sustainable technologies,2 and chemical reactions,28,29 among others. Building on this foundation, this review concentrates specifically on the application of microfluidics in CO2-EOR (section 3), CCS in saline aquifers (section 4), and hydrogen storage (section 5). We explore in depth CO2-EOR processes, including immiscible and miscible displacement, huff-and-puff cycles, and foam-assisted CO2-EOR, as well as key mechanisms involved in CCS and hydrogen storage in subsurface porous media. We critically assess how microfluidics, combined with advanced optical and spectroscopic techniques, has improved the understanding of fluid properties, flow dynamics, and pore-scale interactions. Through this review, we aim to highlight the significant role of microfluidics in resolving challenges in subsurface flow research and inspire future innovations.

2 Microfluidics overview

The advent of microfabrication has enabled precise fluid manipulation and transport at the microscale (O(10−2 μL)),30 making advancements across various applications, including biomedical sciences,31 food and agriculture,32 analytical devices (lab-on-a-chip),33 and fluid flow in porous media,8 such as EOR.34 Microfluidic devices offer several advantages, including reduced material consumption, accelerated processing times (e.g., reaction, detection, displacement), lower costs, and real-time visualization of phenomena occurring in opaque or inaccessible media.30,35 The pore-scale phenomena in subsurface porous formations can be mimicked on microfluidic chips using various microfabrication methods and materials.8,36,37 In the following, we discuss the most commonly used fabrication techniques in two main subcategories: soft lithography and high-pressure microfluidics. We then introduce different types of porous media designs used in microfluidic chips, followed by a comparison and discussion of pore-scale visualization methods in conventional core flooding versus microfluidics. Finally, in section 2.5, we briefly discuss recent utilization of machine learning approaches in the field of microfluidics.

2.1 Microfabrication technique: soft lithography

The development of micro electro mechanical systems (MEMS) and associated microfabrication techniques, namely lithography and etching, led to the exploration of fluid dynamics at microscales, on the order of magnitude of O(10−6–10−3) m, establishing the field of microfluidics.37,47,48 A pivotal moment was the invention of micro-droplets in 1964, revolutionizing the ink-jet printer industry. The first microfluidic lab-on-chip device for miniaturized gas chromatography (Fig. 1A) was created in 1979.47,49,50 Initially, hard materials like silicon, glass, and polymethyl methacrylate (PMMA) dominated MEMS device fabrication. However, the demand for cost-effective, high-throughput alternatives led to the development of soft lithography using PDMS (polydimethylsiloxane) microchips by Whitesides in 1998.50–53
image file: d5lc00428d-f1.tif
Fig. 1 Microfabricated chips for fluidic applications: (A) the first miniaturized gas chromatographer fabricated on silicon wafer fabricated by Terry et al.,38 1979 (adapted with permission from de Mello.39 Copyright © 2002 the Royal Society of Chemistry). (B) Rectangular pattern of PDMS slabs fabricated by micro-molding in capillaries on a gold film (adapted with permission from Kim et al.40 Copyright © 1995 Nature Publishing Group). (C) SEM image of circular patterns on silicon wafer fabricated by microcontact printing (adapted with permission from Marzolin et al.41 Copyright © 1998 Elsevier). (D) SEM image of a double T-section pattern on PDMS fabricated by replica molding (adapted with permission from Duffy et al.42 Copyright © 1998 American Chemical Society). (E) Surface modification (plasma treatment and polyvinyl alcohol (PVA) deposition) of PDMS microfluidic channels to apply varied wettability to generate oil in water in oil (O/W/O) and water in oil in water (W/O/W) double emulsions. All scale bars are 300 μm (adapted from Trantidou et al.43 under CC-BY License). (F) PDMS cartilage-on-a-chip with T-shaped pillars fabricated to predict the efficacy of disease-modifying osteoarthritis (DMOA) drugs (adapted with permission from Occhetta et al.44 Copyright © 2019 Nature Publishing Group). (G) PDMS micro direct methanol fuel cell (μDMFC)-micropump where methanol oxidation produces CO2 to pressurize the liquid sample toward the analysis (adapted with permission from Esquivel et al.45 Copyright © 2012 the Royal Society of Chemistry). (H) Real rock-microfluidic flow cell (RR-MFC) configuration where a thin section (500 μm thickness) of the sandstone sample is assembled with a PDMS channel to involve geochemical reactions in visualizing fluid flow in subsurface porous rocks. On the right, displacement of fluorescein-carrying fluid with dye-free fluid in the RR-MFC chip (adapted with permission from Singh et al.46 Copyright © 2017 Elsevier).

To date, multiple variants of soft lithography have been introduced, including hot embossing,54 micro-molding in capillaries (Fig. 1B), micro-contact printing (Fig. 1C), micro-transfer molding, solvent assisted micro-molding, and replica molding (Fig. 1D),55–58 with the latter being widely used to fabricate microfluidic devices. Replica molding includes two principal steps: 1) fabrication of the hard master mold by well-established techniques of photolithography and etching. In photolithography, the target structures are patterned on a hard substrate, such as silicon, using photomasks59,60 or newer maskless techniques61 such as digital micromirror device (DMD),62 direct writing,63 and 3D printing.64 2) Fabrication of the primary chips by replicating these master patterns on soft materials, primarily polymers, like PDMS, which have a silicon–oxygen backbone. Commercial PDMS kits, containing a linear pre-polymer (elastomer) with siloxane oligomers and vinyl terminated groups and a cross-linker with the same oligomers and silicon hydride groups,65,66 facilitate curing at moderately low temperatures to solidify the liquid PDMS into flexible solid stamps.48,53,67 Before PDMS casting, the surface of the master mold is typically hydrophobized with silane-based chemicals to ensure smooth demolding of cured PDMS.68,69

Although other polymers, such as polyimide (PI), polycarbonate (PC), and polystyrene (PS), are available,48,55 PDMS remains preferred for several advantages. 1) It allows precise and straightforward replication of micro-sized structures.50,70,71 2) Its optical transparency and non-toxicity facilitate real-time visualization of fluidic phenomena. 3) PDMS can form strong, permanent (van der Waals) bonds with various substrates, particularly itself and glass, creating a sealed fluid-flow environment in microfluidic devices.72 4) The prototyping process is fast and affordable, often outside cleanroom facilities, which is a significant advantage for research applications.51 5) It is suitable for low-pressure conditions with a Young's modulus of ≈0.1–1.2 MPa.47,73 6) The surface properties of PDMS can be modified to adjust wettability (Fig. 1E).74,75 PDMS's diverse applications span drug delivery (Fig. 1F), medical diagnosis, biosensors,76,77 environmental contamination detection and analysis,78 fuel cells (Fig. 1G),79 oil and gas production (Fig. 1H),34,59,80,81 and carbon capture, sequestration, and utilization.82–84

2.2 Microfabrication technique: high-pressure microfluidics

Accurately simulating reservoir conditions in the laboratory requires microfluidic chips that can operate under high-pressure and high-temperature conditions to realistically capture fluid interactions. Subsurface energy-related applications require materials that can withstand the high pressures (P) and temperatures (T) of geological formations (P ≈ O(10) MPa and T ≈ 30–100 °C (ref. 88 and 89)). Recent research has therefore focused on developing lab-on-chips capable of operating at elevated pressures and temperatures,19,84,90–100 effectively simulating subsurface processes under reservoir conditions.

Silicon–glass and glass–glass are the most commonly used materials for high-pressure microfluidic applications,8 with their microfabrication techniques summarized in Fig. 2A and B. Fabrication of silicon or glass microfluidic devices typically requires a cleanroom facility to minimize contamination and ensure precision. More recently, thermoplastic polymers101–103 and rigid epoxies87,95 have also been developed for high-pressure applications, with their fabrication methods shown in Fig. 2C and D. While these materials tolerate relatively lower pressures compared to silicon and glass, they offer advantages such as reduced costs and scalability, since most fabrication processes do not require a cleanroom environment. The following sections discuss these high-pressure microfluidic fabrication techniques in detail.


image file: d5lc00428d-f2.tif
Fig. 2 Summary of microfabrication methods for high-pressure microfluidic applications: (A) silicon–glass chips are fabricated through a standard process involving photolithography, deep reactive ion etching (DRIE), and anodic bonding. The images on the right show their representative chips. (B) Glass–glass microfluidic chips are typically produced using photolithography, wet etching, and fusion bonding (adapted with permission from Micronit.85 Copyright © 2020-present Micronit B.V.). (C) Thermoplastic chips, such as polymethyl methacrylate (PMMA) chips, can be fabricated via laser ablation, micromilling, or hot embossing, followed by solvent bonding (adapted with permission from uFluidix.86 Copyright © 2022 uFluidix). (D) Epoxy–glass chips are a recently developed approach for high-pressure microfluidics. This process involves casting epoxy on a PDMS mold, partially cured, followed by bonding to a cover glass after further curing (adapted from Rein et al.87 under CC-BY License).

Silicon was the first material used for microfluidic chips, inspired by MEMS technologies.14,38 The fabrication process (Fig. 2A) starts in a cleanroom with the application of a photoresist layer to a clean silicon wafer, followed by photolithography. In more detail, a clean silicon wafer is first primed with bis(trimethylsilyl)amine (HMDS) vapor to improve photoresist adhesion. A photoresist layer is then applied, and targeted (micrometer-sized) channels are patterned using UV light with a photomask or direct laser writing. After exposure, unprotected substrate areas are removed through etching. Silicon microfabrication commonly utilizes deep reactive ion etching (DRIE),104 which can produce deep features with a high aspect ratio. Silicon and glass are then sealed through anodic bonding,105–107 employing high voltage and elevated temperatures (typically 100–1500 V and 300–500 °C (ref. 107)) to generate an electrostatic field for a permanent bond. Once bonded, the wafers can be diced into individual microfluidic chips if needed.

Glass–glass microfluidics has become another widely used alternative for high-pressure applications. The fabrication process, illustrated in Fig. 2B, involves etching (borosilicate or soda-lime) glass using hydrofluoric acid under controlled etch rates.108 Although wet etching is more cost-effective than plasma etching, it offers lower selectivity and hydrofluoric acid poses significant safety risks, requiring strict handling protocols. Laser engraving is another method used for fabricating glass microfluidic devices, but its resolution is approximately an order of magnitude lower than that of photolithography.8 Glass substrates are joined using fusion bonding, where surfaces are plasma-treated and annealed at temperatures up to 1000 °C, higher than those used for anodic bonding.109 This method creates a strong and permanent bond suitable for high-pressure applications.

Beyond glass and silicon, other materials and fabrication techniques have been explored for high-pressure microfluidics. One example is the transparent thermoplastic polymer, such as PMMA.102 Common ways for fabricating PMMA microfluidics, illustrated in Fig. 2C, include hot embossing,110 laser engraving,83,101 and micromilling.93,103 These techniques offer the advantages of low cost and scalability, enabling the potential mass production of PMMA chips.101,102 Although PMMA microfluidics has a lower pressure tolerance than glass or silicon, it can still withstand pressures as high as 11.75 MPa, when the bonding is assisted by acetic acid solvent, UV treatment, and clamping force.103

Rigid epoxies have recently offered an affordable alternative to traditional materials such as glass and silicon. Soft lithography techniques have been adapted to fabricate high-pressure microfluidic devices using rigid epoxies, as shown in Fig. 2D. For instance, Martin et al.95 introduced a UV-curable off-stoichiometry thiol-enes (OSTE) epoxy cast in a PDMS mold.95 The resulting microfluidic device, supported by an internal glass structure, demonstrated exceptional pressure resistance of up to 20 MPa.95 Similarly, Rein et al.87 fabricated microfluidic devices using rigid epoxy (EpoxAcast™ 690) bonded with glass, also cast in a PDMS mold, achieving a pressure tolerance of around 5 MPa.87 Once a PDMS mold is prepared, this fabrication process becomes more accessible, requiring no cleanroom facilities or specialized equipment. These advances highlight the ongoing evolution of high-pressure microfluidic technology, which is essential for simulating complex subsurface processes. Further research is encouraged to develop faster and more cost-effective fabrication routes (beyond standard lithography techniques) for rapid prototyping in high-pressure microfluidic applications.

In addition to material selection and microfabrication, proper interconnection and packaging techniques are crucial for ensuring reliable sealing of the microfluidic systems under elevated pressures.19,20 Fig. 3 illustrates two widely used packaging methods for high-pressure microfluidics, highlighting their differences in design and functionality. One approach is to have the entire microfluidic platform as a single integrated piece (see Fig. 3A), featuring in-plane inlet and outlet ports that simplify fluidic connections.91,92 In this configuration, silica fibers are interfaced directly with the microchannels and secured to the side of the chip using epoxy, creating a connection capable of withstanding pressures up to 30 MPa.92 However, while this in-plane method requires fewer components, it offers limited flexibility because the chip cannot be easily detached or modified once assembled. By contrast, the second approach, depicted in Fig. 3B, employs a modular design that offers greater flexibility for assembly, reuse, and adaptation.19 In this method, the microfluidic chip is housed within a stainless steel or aluminum chip holder, providing added structural support and protection.19 O-rings and a compression block ensure a secure seal around the internal fluid channels. This modular configuration is well suited for applications requiring frequent modifications or iterations, as it allows easier assembly and disassembly.


image file: d5lc00428d-f3.tif
Fig. 3 Two representative packaging techniques for high-pressure microfluidic applications: (A) in-plane connection method: microfluidic chips interfaced with external silica tubing using an in-plane connection. The junction between the silica fiber and the microchannel is secured with epoxy glue to ensure robust sealing (adapted with permission from Tiggelaar et al.92 Copyright © 2007 Elsevier). (B) Modular chip design: the microfluidic chip is encased between metal holders and sealed with O-rings to prevent leaks. The lower chip holder contains internal fluid channels that connect to external stainless steel adaptors and tubing, facilitating fluid flow (adapted with permission from Marre et al.19 Copyright © 2010 American Chemical Society).

2.3 Pore network designs on microfluidic chips

The geometrical pattern of microfluidic porous media is a critical factor in visualizing fluid flow, ranging from simple regular arrangements to complex irregular structures. These designs are generally classified into two main categories: homogeneous and heterogeneous geometries.
2.3.1 Homogeneous pore structure. Microfluidic porous media initially featured simple designs where all pillars (obstacles) followed identical shapes, such as circular, square, or rectangular geometries (Fig. 4A).111–114 In these configurations, both the pore spacing (pillar separation) and the etched chip depth are uniform across the entire porous region. Homogeneous designs remain widely used when the study focuses on experimental parameters other than geometry—such as fluid injection conditions or fluid type—because they simplify interpretation of interfacial dynamics and subsequent analytical or numerical modeling (Fig. 4B and C).115–117 While straightforward and highly informative, homogeneous designs do not capture the heterogeneity of real rock formations, which strongly influences pressure, saturation, and velocity distributions.80,118–120
image file: d5lc00428d-f4.tif
Fig. 4 Homogeneous microfluidic pore networks. (A) Displacement of trichloroethylene (TCE) by surfactant foam in a glass chip with diamond-shaped pores (pillar size 0.43 mm, porosity 0.27, permeability 17 D. Open spaces appear black, pillars white; right image shows solid, water, and TCE phases (adapted with permission from Jeong et al.113 Copyright © 2000 American Chemical Society). (B) Salt precipitation during CO2 storage in a PDMS medium with circular pillars (diameter 550 μm, porosity 0.52, depth 25 μm). Open spaces are purple, pillars white; right image shows salt crystals (adapted with permission from Ho and Tsai.116 Copyright © 2020 Royal Society of Chemistry). (C) Visualization and modeling of transverse mixing and reaction (Oregon Green 488 Bapta-5N with Ca2+) in a homogeneous chip with elliptic pillars (porosity 0.33, depth 25.9 μm). Right: Lattice-Boltzmann model of product concentration (adapted with permission from Willingham et al.115 Copyright © 2008 American Chemical Society).
2.3.2 Heterogeneous pore structure. To better represent natural porous media, researchers have developed a variety of heterogeneous microfluidic designs. In some cases, the lattice (pillar arrangement) is kept constant, but pore and pillar sizes are varied to introduce permeability changes (Fig. 5A). Within each permeability layer, pore sizes may remain constant80,121,125 or follow a defined size distribution (compare Fig. 5A and B).122 Fractures—characterized by 100% porosity and high permeability—are another important feature in natural rock structures and have been incorporated into microfluidic designs (Fig. 5C).59,81,122,125 Such permeability contrasts promote preferential flow paths, where high-permeability regions with lower resistance are invaded earlier.59,121,122
image file: d5lc00428d-f5.tif
Fig. 5 Heterogeneous microfluidic pore networks. (A) Fluid displacement in a dual-permeability PDMS chip with circular pillars (210 μm, 250 μm) and throats (60 μm, 21 μm); depth 100 μm. Oil and pillars are black, displacing fluids yellow (adapted with permission from Moradpour and Tsai.121 Copyright © 2025 Royal Society of Chemistry). (B) Fracturing fluid propagation in a multi-permeability chip simulating fracture-matrix zones. Pillars: 200, 100, 50 μm; throats: 125, 80, 70 μm; central fracture: 500 μm; depth 30 μm. Right: Guar gum fluid (blue), oil (brown), and velocity map at ΔP = 0.5 MPa (adapted with permission from Da et al.122 Copyright © 2022 KeAi Elsevier). (C) Oil displacement by CO2 in a fractured micromodel replicated from carbonate rock micro-CT. Glass chip patterned and etched to include large and micro fractures; mean depths 42 μm and 21 μm (adapted with permission from Lv et al.123 Copyright © 2022 Elsevier). (D) Oil displacement by water in 2D and 2.5D hydrophilic micromodels. N-Octane (gray) displaced by dyed water (blue); capillary snap-off observed only in 2.5D chip (adapted with permission from Xu et al.124 Copyright © 2017 Royal Society of Chemistry).

Another approach involves 2.5-D microfluidic chips, in which channel depth varies locally to create layered permeability contrasts (Fig. 5D). This form of heterogeneity is particularly useful for investigating multiphase flow phenomena such as capillary snap-off and stratified fluid distributions.123,124,126,127

To replicate the anisotropic and heterogeneous structure of natural rocks, early studies patterned microfluidic chips using 2D thin-section images derived from rock samples. Thin sections (Fig. 6A and B) were prepared and imaged by micro-CT,128,129 petrographic microscopy,130,131 scanning electron microscopy (SEM),132 or epoxy impregnation.133 In more advanced work, 3D micro-CT scans of rock samples were used to extract multiple 2D slices, which were then stacked to generate an averaged representation (Fig. 6C).128,134,135 Pore and throat network statistics128,135 or artificial random networks136 were integrated to restore connectivity lost during slicing, yielding designs more representative of the original core structure. In other approaches, 3D pore networks reconstructed from SEM and micro-CT scans were analyzed for pore statistics and then converted into 2D designs that preserved size distributions and selected 3D features (Fig. 6C and D).137


image file: d5lc00428d-f6.tif
Fig. 6 Rock-on-chip heterogeneous networks. (A) CO2 exsolution from carbonated water in a microfluidic chip based on a thresholded thin-section image of low-permeability sandstone; pore sizes ranged from 2–74 μm (adapted with permission from Zuo et al.130 Copyright © 2013 Elsevier). (B) Oil recovery visualization using alkaline-surfactant-polymer (ASP) with SiO2 nanoparticles in a PDMS chip patterned from a sliced conglomerate rock; mean pore size: 30 μm, depth: 10 μm (adapted with permission from Wang et al.131 Copyright © 2022 American Society of Chemistry). (C) Multi-step reconstruction of sandstone and limestone pore morphology: 3D micro-CT scans segmented and mosaicked into 2D designs with controlled throat sizes and permeability (adapted with permission from Godoy et al.135 Copyright © 2025 Royal Society of Chemistry). (D) Micro-gel-assisted oil recovery in a chip designed from CT, SEM, and FIB-SEM scans of tight sandstone samples; chip depth: 39.5 μm; red fluorescence shows displaced residual oil (adapted with permission from Lei et al.137 Copyright © 2020 Wiley). (E) Matrix–fracture fluid interaction during water displacement by supercritical CO2. 2D fracture geometries laser-etched onto shale from micro-CT scans; fracture apertures: 100–400 μm, depth: 100 μm (adapted with permission from Porter et al.134 Copyright © 2015 Royal Society of Chemistry).

A recent development in realistic microfluidic porous media is the creation of geo-material micromodels.134,138,139 In this method, thin slices of actual rock are either polished or laser-etched and sealed between glass slides for direct visualization (Fig. 6E). This method incorporates natural mineralogy, surface roughness, and wettability, enabling the study of geochemical interactions that strongly influence pore-scale flow.46,139–141 Alternatively, mineral coatings have been applied to PDMS142 or glass123 devices to capture rock–fluid interactions.

A major limitation of standard simplified microfluidic models is dimensionality: most are quasi-2D, whereas rocks are inherently 3D. Structural complexities such as anisotropic vertical permeability and tortuosity,143 as well as flow phenomena such as cross-flow,144 are difficult to reproduce in 2D but can be captured with 3D micromodels. In this regard, several fabrication strategies have been explored, including multilayered polymers,126,145 packed particles,146–148 and 3D printing.149,150 For example, thermoplastics such as PMMA can be stamped with 3D molds at high temperature and pressure (172 °C, 24 kN) to replicate pore structures.126 Similarly, packing micron-sized glass beads between plates produces disordered 3D porous media, which can be imaged by refractive index matching between beads and fluorescent fluids (Fig. 7E).148,151 Bead size can be uniform or varied to represent homogeneous or heterogeneous media.143 Finally, additive manufacturing approaches such as stereolithography152 and material jetting150 allow direct 3D printing of porous media based on real rock scans.


image file: d5lc00428d-f7.tif
Fig. 7 Pore-scale visualization techniques for subsurface flow. (A) Synchrotron-based X-ray micro-computed tomography (micro-CT) imaging of a CO2–oil–water system during waterflooding in a carbonate core, showing gas (red), oil (green), and water (blue) distributions in 3D (adapted with permission from Scanziani et al.153 Copyright © 2019 Elsevier). (B) Magnetic resonance imaging (MRI) of oil saturation distribution in a core following waterflooding and supercritical CO2 injection (adapted with permission from Zhao et al.154 Copyright © 2011 China University of Petroleum (Beijing) and Springer-Verlag Berlin Heidelberg). (C) Brightfield microscopy visualization of gas–liquid interfaces in a microfluidic pore network. (D) Laser-induced fluorescence (LIF) imaging of CO2 dissolution in oil within a micromodel (C and D adapted with permission from Nguyen et al.155 Copyright © 2014 American Chemical Society). (E) Confocal microscopy combined with particle image velocimetry (PIV) to quantify velocity fields in a glass bead-packed microchannel (adapted with permission from Datta et al.151 Copyright © 2013 American Physical Society).

2.4 Pore-scale visualization methods

Conventional coreflooding involves injecting fluids through opaque, oil-saturated rock cores and requires in situ 3D imaging to monitor fluid displacement. Common methods include X-ray micro-computed tomography (micro-CT), nuclear magnetic resonance (NMR), and magnetic resonance imaging (MRI). In contrast, microfluidic platforms are typically quasi-2D and transparent, enabling real-time visualization with optical microscopy. The following subsections and Table 1 compare these methods, outlining their advantages and limitations for pore-scale flow studies.
Table 1 Summary of pore-scale visualization methods for coreflooding and microfluidics
Visualization method Typical field of view Spatial & temporal resolution Advantages Limitations
Coreflooding micro-CT mm-scale ≈3–10 μm (synchrotron);

≈10–20 μm (lab)

≈0.5–5 min (synchrotron);

slower for lab CT

(1) True 3D pore-scale imaging in native rock

(2) Captures interfacial morphology and snap-off

(1) Limited FOV (mm in cm plugs)

(2) Synchrotron access costly

(3) Computationally intensive

 
Coreflooding – NMR/MRI cm-scale O(10–100) μm

O(1–10) min

(1) Captures bulk fluid distribution

(2) Sensitive to saturation and transport

(1) CO2 not visible (no 1H)

(2) Insufficient spatial resolution for individual pores

(3) Expensive instrumentation

 
Microfluidic – optical imaging mm–cm scale Sub-μm (optical limit)

Sub-ms with high-speed cameras

(1) Transparent, real-time visualization

(2) Versatile optical techniques (brightfield, fluorescence, confocal, PIV, etc.)

(1) Limited depth of field

(2) Difficult to reproduce fully 3D fluid interfaces and pore events



2.4.1 Coreflooding: X-ray micro-computed tomography (micro-CT). Micro-CT reconstructs 3D internal pore structures by rotating a sample while collecting 2D X-ray projections.156 Synchrotron-based micro-CT, which uses a much higher-intensity X-ray source, offers improved spatial (≈3–10 μm) and temporal (0.5–5 min) resolution, but requires access to costly, specialized facilities.157,158

Using time-resolved 3D imaging, Andrew et al.157 employed synchrotron-based micro-CT to capture snap-off events during supercritical CO2 drainage, allowing estimation of local capillary pressure from interfacial curvature.157 This technique has also been used to study gas trapping153 and CO2 cluster distributions in porous media.159,160 Fig. 7A shows an example of gas, oil, and water 3D distribution during waterflooding.153 Micro-CT imaging resolves pore-scale interface dynamics within a millimeter-scale field of view, capturing features such as interface curvature, snap-off events, and CO2 cluster connectivity in centimeter-scale core plugs during coreflooding experiments.158

2.4.2 Coreflooding: nuclear magnetic resonance (NMR) and magnetic resonance imaging (MRI). NMR and MRI detect signals from hydrogen nuclei (1H) in fluids using a magnetic field and radiofrequency pulses.141,161 MRI reconstructs these signals into images of 1H-containing fluids—mainly oil and water—within the rock core. CO2 is not detected because it lacks hydrogen atoms.

Fig. 7B shows an MRI image where intensity reflects oil saturation. MRI provides spatial resolution of O(10–100 μm),141 lower than micro-CT and insufficient to resolve individual pores or interfacial features.161 Nonetheless, MRI remains useful for tracking saturation and displacement in heterogeneous reservoirs. For example, in Fig. 7B, Zhao et al.154 observed gas channeling under immiscible CO2 injection, whereas miscible supercritical CO2 produced a more uniform, piston-like displacement and higher oil recovery.154

Overall, coreflooding visualization methods capture native porous media and fluid–solid interactions but are limited by the opacity of rock cores, reliance on specialized equipment, and restricted availability of advanced tools such as synchrotron-based micro-CT. Real-time imaging is further constrained by temporal resolution, and the resulting data often require intensive computational processing.

2.4.3 Microfluidics: optical imaging techniques. Microfluidic platforms offer distinct advantages in pore-scale visualization compared to coreflooding methods. Their intrinsic transparency allows direct optical access and real-time monitoring of multiphase flow with high spatial and temporal resolutions. When combined with microscope systems and high-speed cameras, these setups can resolve dynamic processes at sub-millisecond timescales and sub-micron length scales.141,162

A range of optical techniques is used in microfluidics. Brightfield microscopy is the most common, providing clear visualization of droplet interfaces and flow patterns (Fig. 7C, Nguyen et al.155). Laser-induced fluorescence (LIF) enhances phase contrast by tagging one fluid with a fluorescent dye, leaving the background dark (Fig. 7D, Nguyen et al.155). Fluorescence intensity can also be used to quantify CO2 dissolution into surrounding oil or water to study diffusion, miscibility, and interfacial transport, as discussed in sections 3.2 and 4.2.

Confocal microscopy offers better resolution by rejecting out-of-focus light with a pinhole aperture. Scanning vertically across the channel depth allows the reconstruction of optical slices that approximate 3D features. For example, Datta et al.151 combined confocal microscopy with particle image velocimetry (PIV) to map flow fields in bead-packed micromodels (Fig. 7E, Datta et al.151). Refractive index matching between the fluids and beads allowed clear visualization of flow, while PIV quantified velocity fields using tracer particles in fluids.151 However, a limitation is speed: a standard laser scanning confocal microscope is relatively slow, operating at only ≈10 slices per second,151 which limits its ability to capture rapid multiphase flow dynamics.

Despite their predominantly quasi-2D design, microfluidic devices provide high-resolution visualization of multiphase flow and can be extended to 3D geometries, enabling more complete capture of the fluid interface similar to volumetric methods such as micro-CT.

2.5 Machine learning coupled with microfluidic systems

In the rise of the artificial intelligence (AI) era, incorporation of machine learning (ML) in research is undoubtedly common in many disciplines. In microfluidic experiments, performance prediction and control/optimization of operational parameters via intelligent microfluidics is one of the main applications.163–170 Intelligent microfluidics refers to the integration of automation, AI, and real-time sensing into microfluidic systems to enhance the control, optimization, and adaptability of fluid flow and chemical/biological processes at the microscale. These systems leverage ML, smart sensors, and computational models to make real-time decisions, adjust operational parameters, and improve efficiency without human intervention.165,166 For instance, in two-phase flow within micropores, Song et al.171 developed an intelligent microfluidics platform combining image recognition and deep learning to predict relative permeability. Their model showed relative contributions of 38.22% from saturation, 34.84% from wettability, and 26.94% from pore geometry.171 Future studies can expand this technique to complex rheology injection fluids (e.g., surfactant, foam), and adapt toward real-time monitoring, where live microscopy images are used to optimize injection parameters.

In predicting capillary pressure, ML models offer data-driven alternatives to traditional empirical fits. Qi et al.172 used ensemble methods to estimate capillary pressure curves from particle size distributions, while Liu et al.173 and Kasha et al.174 applied neural networks and other supervised models (e.g., clustering) to predict both capillary pressure and relative permeability from pore structure data. Similarly, Khosravi et al.175 used a hybrid of particle swarm optimization and ML to estimate relative permeability and capillary pressure under low-salinity flooding. Because relative permeability and capillary pressure govern phase mobility and distribution, such ML frameworks are especially relevant for multiphase systems. Capillary pressure, in particular, is critical in systems where phase separation, drainage/imbibition hysteresis, or capillary trapping occurs, such as carbon storage and oil recovery (discussed in sections 3 and 4).

Furthermore, Manikonda et al.176 used K-nearest neighbors and multi-class support vector machine to classify gas–liquid flow regimes with up to 98% accuracy, demonstrating ML's value for automated displacement regime identification.8 Zhao et al.177 implemented a U-Net deep learning structure combined with orthogonal design for data generation, expediting prediction of displacement front under different permeability contrasts, Ca numbers, and viscosity ratios.9 Accurate prediction of displacement front morphology in heterogeneous porous media is particularly critical for understanding channeling and improving recovery efficiency.

Meanwhile, at the micromodel design stage, ML can also generate synthetic pore geometries from statistics of real rock structures, supporting more realistic benchmarking and simulation workflows.163 In pore-scale modeling, image enhancement using ML is implemented to maintain a wider field-of-view without sacrificing the resolution of the images.163,165 However, it is well known that obtaining data to train a ML model is often costly and time-consuming, particularly with microfabrication of microfluidic chips to cover a wide range of experimental parameters. Transfer learning allows the majority of the data to be collected from modeled chips—such as 3D printing, micromilling, laser cutting—then combined with a small portion of data on devices made with photolithography and micropatterned electrodes. The refinement of transfer learning opens the possibility of rapid prototyping for data generation.164

Future research should aim to combine ML with experimental microfluidic data to bridge the gap between 2D and 3D,178 and between lab-scale and reservoir-scale—specifically in terms of predicting accuracy in a more complex natural environment—for underground storage applications.165 Furthermore, the integration of time-evolution algorithms (e.g., transformer neural networks) can significantly shorten experimental processes by using initial time series data to make future predictions. This ML tool may be useful in processes, such as bacteria growth, gas distribution/movement in long-term underground storage, etc.

3 Microfluidic investigations on CO2-EOR

CO2-EOR is a mature and widely used method where CO2 is injected into oil-bearing subsurface formations to increase oil recovery. Statistics show that 34% of global CO2 demand is consumed by EOR projects,179 with over 200 projects180 of miscible and immiscible CO2 injections. This number may rise as oil production from CO2-EOR is expected to increase to 1.6 barrel per day by 2040.181 Besides, CO2 accounts for 64% of the greenhouse gasses,182 making the injection of emitted CO2 into sealed underground formations a recognized technique for contributing to CO2 geological storage and reducing the carbon footprint of hydrocarbon extraction.5 The significance of underground CO2 storage is indicated by the current (50) and future (578) storage facilities, with capacities of 51 million and 563 million tonnes per year, respectively.183

CO2 injection has been examined across different scales—pore,123,184,185 core (lab),186–188 and field.189 When CO2 is injected below the minimum miscibility pressure (MMP) with the oil phase, it cannot fully mix in the oil phase and fails to form a single homogeneous phase, resulting in an immiscible displacement process.190–192

Microfluidic investigations have provided valuable insights into immiscible CO2-EOR118,193–196 (section 3.1). Unlike CCS in saline aquifers, where CO2 slightly dissolves in brine, in oil reservoirs, CO2 exhibits higher solubility in oil and can become miscible under pressures greater than MMP,197 which can lead to nearly complete oil recovery. This complex CO2–oil phase behavior has motivated many microfluidic studies on minimum miscibility pressure198–207 and miscible CO2-EOR mechanisms208–212 (section 3.2). Microfluidics has also been instrumental in exploring CO2 huff-n-puff techniques25,212–217 (section 3.3), where gas exsolution (i.e., CO2 separates from the formerly homogeneous oil phase214) enhances oil recovery. Foam-assisted CO2-EOR, another widely studied approach, improves sweep efficiency by increasing apparent viscosity.59,218–220 Further discussions on CO2 bubble dynamics and oil displacement mechanisms are presented in section 3.4.

3.1 Immiscible CO2-EOR

The first field-scale immiscible CO2 injection for EOR application was conducted in Arkansas, USA, in 1968.189 The primary mechanisms underlying oil displacement by immiscible CO2 gas injection are oil swelling and oil-viscosity reduction due to CO2 dissolution and interfacial tension (IFT, σ) reduction.191,221–223 Under immiscible conditions, higher oil–CO2 interfacial contact area enhances gas dissolution, crucial for triggering oil mobilization mechanisms.224–226 The spreading coefficient of oil over water (So/w) serves as an indicator of CO2 injection efficiency, defined as:227–229
 
So/w = σwgσogσow, (1)
where σwg, σog, and σow are the water–gas, oil–gas, and oil–water interfacial tensions, respectively. In hydrophilic porous media, a positive spreading coefficient (So/w > 0) contributes to the spreading of oil films between the water and gas phases. However, in hydrophobic media, a negative spreading coefficient (So/w < 0) causes gas bubbles and liquid droplets to disperse and enter in the oil phase. Hence, the contact area between oil–CO2 and consequently the performance of immiscible CO2 injection is maximized.229–231

However, if these criteria of positive (or negative) So/w values for hydrophilic (or hydrophobic) surfaces are not met, other scenarios, such as CO2 saturated (i.e., carbonated) water injection, can provide better fluid distribution.232 In hydrophilic porous media with a negative spreading coefficient, water prevents CO2 from reaching oil ganglia. Injecting carbonated water allows CO2 to partition from the water and dissolve in the oil, causing oil swelling that disrupts the water barriers and increases the contact area of oil with free CO2 gas.193,229 Microfluidic visualization has contributed to a better understanding of the mechanism behind improved oil recovery by carbonated water injection observed in opaque core-flooding experiments. Carbonated water injection outperforms traditional waterflooding as well,193,233,234 due to CO2 diffusion from water into the oil phase, reducing oil viscosity and decreasing water–oil IFT.

A second approach to increase the performance of immiscible CO2 injection is water alternating gas (WAG) flooding, where sequential slugs of water and CO2 are injected to increase the sweep efficiency.194,210 Hao et al.210 compared immiscible CO2 and WAG injection into a vertical heterogeneous glass microfluidic chip. Their observations indicated that when injecting immiscible CO2, gravity override caused CO2 to flow preferentially toward the top part of the chip with only 39.2% sweep efficiency. The analysis of buoyancy, capillary, and hydrodynamic forces indicated the greatest total magnitude in the upward direction (2.06 × 10−5 N). In contrast, injecting alternating slugs of water causes pore throat blockage, which increases capillary resistance and allows CO2 flow in other directions. Therefore, WAG increased the sweep efficiency to 97.9%.210 However, Riazi et al.235 found that a two-step injection sequence of water followed by supercritical CO2 accelerated breakthrough, as the presence of water–oil interfaces impeded lateral CO2 propagation.235 If immiscible WAG injection into a hydrophilic medium begins with CO2 as the first slug, the process is more effective. This is because gas, as the non-wetting phase, is less likely to trap and shield the oil phase compared to the wetting water phase.194

Another strategy to enhance the efficiency of immiscible CO2 injection is to replace CO2 gas with supercritical CO2, which increases the CO2 solubility in oil236 and reduces oil–CO2 IFT.237 Riazi et al.235 observed that supercritical CO2 significantly delayed breakthrough time, (about 75% slower) due to the increased viscosity of CO2.235 With improved CO2 solubility, mass transfer of light to intermediate oil components into the CO2 gas, known as vaporizing extraction, occurs. These components subsequently recondense under ambient pressure–temperature conditions, contributing to improved oil recovery.235,236,238 This mechanism has been found effective even when CO2 remains in the gas phase, but injected at higher pressure196,212 or flow rate.194,195 By increasing the hydrodynamic driving force, CO2 can overcome the opposing capillary force to enter smaller pores and interact (dissolution and extraction) with unswept oil saturation. In this regard, Chen et al.195 investigated the effect of increasing the CO2 injection rate by 25-fold in a heterogeneous glass microfluidic chip. Their results revealed that a higher flow rate mobilized ‘columnar’ and ‘membrane’ trapped oils in both high (see Fig. 8A) and low permeable areas, but left cluster-shaped oils in the low permeability zones largely unaffected. Overall, the oil recovery factor improved by 14.2% at the higher injection rate.195 Furthermore, they suggested that replacing continuous injection with asynchronous gas injection and production cycles increased the oil recovery by 20%. This improvement was attributed to pressure buildup and increased CO2 dissolution and extraction during shut-in periods, which primarily liberated cluster-shaped trapped oils. In another study, pore-scale visualizations by Guo et al.212 revealed a shift from capillary-dominated to viscosity-dominated flow as the pressure difference across the chip increased from 0.01 MPa to 0.03 MPa. Despite the positive impacts, increasing the velocity of the non-wetting CO2 phase shortens the breakthrough time, which is a critical concern that must be addressed.80,194


image file: d5lc00428d-f8.tif
Fig. 8 Microfluidic results for oil displacement by immiscible CO2 injection: (A) different residual oil configurations (red) remained in a heterogeneous porous medium after low-flow gas (yellow) injection (top). Their respective contributions for the remaining residual oil after low (LCGI, blue) followed by high (HCGI, red) continuous gas injection to displace oil in the heterogeneous microfluidics (adapted with permission from Chen et al.195 Copyright © 2024 Elsevier). (B) Displacement of n-octane (dyed) by immiscible CO2 injection in homogeneous microfluidic porous media with low (left) and high (right) permeability (top). Similar displacement into a heterogeneous one including a matrix with low (left) and high (right) permeability plus lateral fractures (bottom). CO2 injected from bottom to top, oil–gas interface shown as a red line (adapted with permission from Pan et al.118 Copyright © 2025 the Royal Society of Chemistry). (C) Jamin effect: gas (white) travels from a large pore (R1) to a smaller one (R2), it undergoes deformation resulting in additional capillary resistance (Ps) and bubble pinch-off (top). σ is the IFT of the residing fluid (brown) and the gas phase (idea adapted from Chen et al.195). Bubble pinch-off phenomenon due to the Jamin effect observed in microfluidic visualizations during oil (brownish) displacement by immiscible CO2 injection (adapted with permission from Qian et al.196 Copyright © 2025 Elsevier and Chen et al.195 Copyright © 2024 Elsevier).

Heterogeneity in porous media considerably affects CO2 distribution, and accordingly sweep efficiency and oil recovery factor.118,195,212,239 Tang et al.239 designed four different hydrophobic glass micromodels patterned by laser etching and wet-etched with hydrofluoric acid.239 Their results of water flooding followed by immiscible CO2 injection showed that fractures improve fluid distribution (for both water and CO2) and increase sweep efficiency, although a higher permeability contrast between fractures and the matrix can lead to early breakthrough and reduced oil recovery. Moreover, they observed that CO2 injection improved oil recovery up to 20% by mobilizing the residual oils after water flooding that were entrapped in cluster shapes and dead corners, consistent with observations by Qian et al.196

Displacing n-octane by immiscible CO2 at 70 °C and 6.5 MPa, Pan et al.118 demonstrated that shale-like nano-scale heterogeneity influences transport phenomena.118 Regardless of permeability, homogeneous porous media resulted in 100% oil recovery despite gas fingering (see Fig. 8B-top). In contrast, heterogeneous fractured porous media facilitate gas channeling through the fractures, which are the preferential low resistive flow paths (see Fig. 8B-bottom). Therefore, driven by pressure drop, oil displacement initiated from the side channels. Gradually CO2 entered the porous matrix and mobilized the oil by both pressure drop and CO2 diffusion and dissolution in oil. The intensity of CO2 diffusion was greater in matrix pores adjacent to the fractures. In addition, the permeability of the matrix is a key parameter affecting the resisting capillary force, a critical point in fluid–fluid displacement. Pan et al.118 achieved 100% oil recovery in the high permeability chip, while the low permeability design recovered only 30% of the oil. In heterogeneous porous media, CO2 can become isolated due to bubble pinch-off and immobilization at low permeability pore throats, a phenomenon known as the Jamin effect (see Fig. 8C).195,196,235 This limitation can be mitigated by increasing the injection pressure, which not only enhances sweep efficiency but also improves CO2 storage.196

3.2 Miscible CO2-EOR

3.2.1 Minimum miscibility pressure (MMP). Miscibility in the context of CO2-EOR refers to the ability of two fluids to mix and form a homogeneous mixture without forming separate phases. It is categorized into first-contact miscibility (FCM) and multiple-contact miscibility (MCM) in petroleum applications.240,241 FCM occurs when fluids mix immediately upon contact in any proportion, exemplified by a binary system, such as normal pentane (n-pentane, C5) and normal decane (n-decane, C10).241 In real-world CO2-EOR applications involving complex multicomponent systems, crude oil typically comprises light (C1), intermediate (C2–C6), and heavy fractions (C7+).242,243 When CO2 interacts with these crude oil components, MCM develops as mass transfer and component exchange occur between CO2 and oil,206,241 with miscibility gradually achieved through continued fluid interaction and flow.206,241

The minimum miscibility pressure (MMP) is the critical pressure at which two fluids become miscible, influenced by both temperature and fluid composition.242,243 For CO2 and oil systems, MMP values typically range from 7 to 34 MPa.242 Accurate determination of MMP is crucial for selecting reservoirs suitable for CO2-EOR.242,243 When reservoir pressure exceeds the MMP, miscible flooding occurs and enables near-complete oil recovery.

Standard lab-scale experimental methods for determining MMP include the vanishing interfacial tension (VIT) method,244,245 the rising-bubble apparatus (RBA),246 and slim tube tests (STT).242,247 These conventional methods, while reliable, are often time-consuming and require significant fluid volumes. In response, microfluidic devices inspired by traditional techniques have emerged as efficient alternatives, reducing testing time and fluid volume while offering clear optical access for real-time observations. Fig. 9 summarizes the conventional experimental approaches (Fig. 9A) and their microfluidic adaptations for MMP determination (Fig. 9B and C).


image file: d5lc00428d-f9.tif
Fig. 9 Summary of microfluidic experiments for determining CO2–oil minimum miscibility pressure (MMP). (A) Schematic illustrations of three commonly used conventional techniques: (i) vanishing interfacial tension (VIT): the pendant drop method measures the interfacial tension (IFT) between the oil drop and surrounding CO2, with the MMP determined when the IFT approaches zero; (ii) rising bubble apparatus (RBA): a CO2 bubble rises through oil in a glass tube, and the MMP is identified by observing bubble interfacial disturbance. (iii) Slim-tube testing (STT): CO2 is injected into an oil-filled coiled tube, and MMP is determined at the plateau of oil recovery. (B) Microfluidic designs inspired by the conventional techniques in part (A), showing their analogous setups for MMP determination. (i) A microfluidic chip with dead-end pores visualizes a static CO2–oil interface (adapted with permission from Shi et al.200 Copyright © 2024 Elsevier). (ii) Microfluidic fast fluorescence imaging captures CO2 bubble flow in oil (adapted with permission from Nguyen et al.203 Copyright © 2015 American Chemical Society). (iii) A “slim-tube on a chip” simulates oil recovery by injecting CO2 into a serpentine channel with embedded solid grains (adapted with permission from Ungar et al.204 Copyright © 2021 Elsevier). (C) Microfluidic visualization of CO2–oil interactions at pressures below, near, and above MMP for the corresponding approaches in part (B). For P < MMP, the CO2–oil interface appears sharp, and incomplete oil recovery is observed in the slim-tube chip. For P ≥ MMP, the CO2–oil interface becomes blurred, with nearly complete oil recovery in the slim-tube chip (adapted with permission from Shi et al.,200 Nguyen et al.,203 Ungar et al.204).

Vanishing interfacial tension (VIT). The vanishing interfacial tension (VIT) technique measures IFT by observing a pendant drop of CO2 in oil under varying pressures.244,245 In microfluidic adaptations, oil is confined in dead-end microchannels, allowing incremental pressurization of CO2 to study CO2–oil phase behavior.198–202 Sharbatian et al.198 observed pressure-dependent oil swelling and extraction, indicating mass transfer before achieving MMP.198 When MMP was reached, the oil–CO2 interface disappeared, with fluorescence intensity reaching its minimum (MMP = 7.4 MPa for T = 23 °C and MMP = 10.6 MPa for T = 50 °C).198 Other studies have shown that MMP increases with temperature due to lower CO2 solubility.248 MMP also increases with higher proportions of heavy hydrocarbons in oil.200 In nanoconfined systems, as channel depth was reduced from 1 μm to 10 nm, MMP of CO2–octane at 160 °C dropped remarkably from 15.1 MPa to 10.1 MPa.202 MMP decreases in nanoconfinement, providing insights into CO2–oil behavior in tight shale reservoirs, where molecular interactions and capillary forces can affect miscibility.199,202,249
Rising bubble apparatus (RBA). Rising bubble apparatus (RBA) determines MMP by observing gas bubbles rising in oil.246 Nguyen et al.203 developed a microfluidic system featuring a T-junction for simultaneous CO2 and oil injection.203 Below MMP, a distinct fluorescence gradient marks the CO2–oil interface; above MMP, this interface disappears, indicating miscibility as fluorescence becomes uniform. This microfluidic method was validated using synthetic oil and used to determine MMP for three field-sourced crude oils, showing MMP ranges of 5.5–8.3 MPa at 25 °C and 8.3–10.7 MPa at 40 °C.203
Slim tube test (STT). Compared with VIT and RBA, slim tube tests are more effective for capturing multi-contact miscibility.241,247 Conventional STT uses a long coiled tube packed with sand or glass beads, with MMP identified at the pressure where oil recovery reaches a high value and starts to plateau.242,247 Recent microfluidic adaptations, such as slim-tube-on-a-chip systems, use serpentine microchannels filled with circular grains to mimic porous media.204,206 Ungar et al.204 performed CO2 flooding in silicon–glass microfluidics,204 showing 100% oil displacement when the pressure reached MMP.204 These slim-tube-on-a-chip systems replicate multi-contact miscibility under controlled temperature and pressure with minimal fluid volumes.204,205

Microfluidic platforms provide rapid testing and require significantly less fluid volume compared to conventional MMP testing methods. Among various microfluidic approaches, slim-tube-on-a-chip systems are particularly promising for investigating multi-contact miscibility and condensing/vaporizing gas drives. Future studies should focus on comparing MMP results across different microfluidic techniques to standardize and validate these approaches. Beyond MMP determination, microfluidics has proven versatile in studying dew point conditions,250 wax appearance temperature,251 solubility, and diffusivity,198 further demonstrating its diverse applications in analyzing fluid phase behavior in subsurface energy applications.

3.2.2 Miscible CO2-EOR. Unlike immiscible oil displacement, miscible CO2–oil displacement eliminates interfacial tension, suppressing viscous fingering212 and gravity override,210,211 which significantly improves oil recovery. Miscible CO2-EOR involves complex multiphase flow and component exchange at the fluid–fluid interface, influenced by factors such as pressure, temperature, fluid composition, and porous media heterogeneity. Multiple mechanisms simultaneously affect the oil recovery efficiency, including CO2–oil interfacial tension reduction, oil swelling and extraction by CO2, the formation of a miscibility zone, and asphaltene precipitation.208,209 Microfluidics has emerged as a valuable tool for visualizing and analyzing these complex miscible displacement processes.
Miscible front. When CO2 displaces oil above the MMP, a miscibility zone forms at the displacement front through vaporizing and condensing mechanisms.253,254 In this zone, CO2 extracts light and medium hydrocarbon components from the oil while also condensing into oil, creating a miscible front.253,254 To investigate this process, Zhang et al.208 used a glass micromodel to visualize miscible CO2–oil flooding under high-temperature and high-pressure conditions (up to 115 °C and 55 MPa), with an MMP of 20.37 MPa.208 Unlike the sharp CO2–oil interface observed in immiscible CO2-EOR (Fig. 10A), their study revealed noticeable color gradients across the displacement front (Fig. 10D), indicative of the condensing and vaporizing phase behavior characteristic of a miscible front.208 In this process, CO2 dissolves into the oil and condenses at the leading edge of the miscible front, while simultaneously, oil evaporates into CO2 and is extracted at the trailing edge.208 Further supporting this mechanism, Zhang et al.201 demonstrated CO2-induced oil swelling in a dead-end microfluidic channel, confirming CO2 entry into the oil phase. Together, these processes drive the formation of a condensing–vaporizing miscible front, enhancing CO2-EOR efficiency.208
image file: d5lc00428d-f10.tif
Fig. 10 Comparison of immiscible, miscible, and near miscible CO2-EOR processes and mechanisms observed in microfluidic experiments. Immiscible CO2-EOR: (A) immiscible CO2–oil interface showing sharp phase boundaries (adapted with permission from Zhang et al.208 Copyright © 2022 Elsevier). (B) Viscous fingering leading to unstable displacement front (adapted with permission from Guo et al.212 Copyright © 2022 Elsevier). (C) Gravity override where CO2 migrates to the top due to buoyancy (adapted with permission from Hao et al.210 Copyright © 2022 Elsevier). Miscible CO2-EOR: (D) miscible CO2–oil interface eliminates interfacial tension and promotes mixing (adapted with permission from Zhang et al.208 Copyright © 2022 Elsevier). (E) Viscous fingering is suppressed, leading to efficient oil recovery (adapted with permission from Guo et al.212 Copyright © 2022 Elsevier). (F) Suppression of gravity override and formation of a miscible zone (adapted with permission from Hao et al.210 Copyright © 2022 Elsevier). Near miscible CO2-EOR: (G) microfluidic visualization showing CO2 enriched by oil, visible as a darker color within the CO2 phase (adapted with permission from Seyyedi and Sohrabi.252 Copyright © 2020 Springer Nature). (H) Near miscible conditions promote oil spreading between CO2 and water, improving the contact and interaction between CO2 and oil (adapted with permission from Seyyedi and Sohrabi.252 Copyright © 2020 Springer Nature).

Moreover, miscible CO2 injection added 35.4% oil recovery after waterflooding, while carbonated water formed by CO2 dissolution recovered an additional 11.2% in low-permeability regions.208 The study also noted asphaltene precipitation208,209 after lighter crude components were extracted by CO2, causing microchannel blockages predominantly in low-flow regions like dead-end pores.208,209 COMSOL simulations further confirmed that blockages were more severe in low-permeability zones, which could lead to potential issues in field applications.209


Viscous fingering. Viscous fingering initially destabilizes the displacement front in miscible CO2-EOR due to the oil–CO2 viscosity contrast.212 However, as CO2 mixes with oil, the sharp two-phase interface vanishes, and oil viscosity is reduced, stabilizing the displacement.212 Guo et al.212 demonstrated this effect using a silicon–glass micromodel with CO2 displacing n-decane.212 For immiscible CO2-EOR, they observed an unstable displacement front caused by viscous fingering (Fig. 10B). Under miscible conditions, viscous fingering was suppressed, resulting in nearly complete oil recovery (Fig. 10E).212 A brief soaking period further improved oil recovery by allowing CO2 diffusion into the oil, promoting mixing and CO2 penetration.212
Gravitational effects. In addition to suppressing viscous fingering, miscible CO2-EOR also mitigates gravity override. Recent microfluidic experiments studied the gravitational effect during miscible CO2-EOR by placing the chip vertically.210,211 By comparing the displacement patterns of CO2 in oil at pressures below and above the MMP (Fig. 10C and F), miscible displacement eliminates the gravitational effect, leading to an improvement in oil recovery from 64.3% to 88%.211 During miscible CO2-EOR, the formation of distinct zones has been identified, including a miscible zone, a transition zone, and an immiscible zone, as seen in Fig. 10F.210 Miscible CO2 flooding also allows CO2 to penetrate smaller pores, enhancing oil sweep efficiency.210,211
3.2.3 Near miscible CO2-EOR. Even when the reservoir pressure is slightly below the MMP, near miscible CO2 flooding can still enhance oil recovery.252,255 Under these conditions, CO2 dissolves into the oil phase, leading to oil swelling and extraction.252,255 Seyyedi and Sohrabi used a glass micromodel to investigate this phenomenon of near miscible CO2-EOR (at 17.2 MPa and 37.8 °C), slightly below the MMP of 19.3 MPa.252 Although miscibility does not fully develop (shown by a clear interface between CO2 and oil), lighter oil components diffuse into the CO2 stream, enriching it, as shown by a visible color gradient in Fig. 10G.252

Near miscible conditions also enhance oil recovery by creating a favorable spreading coefficient, which promotes better contact between oil and CO2.252,255 A positive spreading coefficient So/w value (see eqn (1)) indicates that oil spreads on the gas–water interface.227,228,252 Under near miscible conditions, σog is sufficiently low to allow So/w > 0.252 Microfluidic experiments (Fig. 10H) show crude oil spreading between water and CO2, improving oil extraction and swelling through direct CO2 contact.252

Overall, microfluidic approaches have recently been adopted for determining MMP and investigating key mechanisms in miscible CO2 oil recovery. Inspired by conventional techniques, such as VIT, RBA, and STT, the microfluidic platform offers direct phase-behavior visualization and rapid MMP analyses, with the potential to be further expanded for broader fluid analyses. Recent microfluidic studies on oil displacement during miscible CO2-EOR have revealed several important recovery mechanisms, including the condensing–vaporizing gas drive,208,209 suppression of viscous fingering,212 and elimination of gravity override.210,211 Moreover, microfluidic studies demonstrate that near miscible CO2-EOR is particularly advantageous in reservoirs where achieving full miscibility is challenging due to operational constraints.252 This technique enhances oil recovery by targeting trapped oil in dead-end pores and improving contact between CO2 and oil.

3.3 CO2 huff-n-puff

CO2 huff-n-puff is an effective EOR technique consisting of three stages: 1) the injection stage (“huff”), where CO2 is injected into the reservoir; 2) the soaking stage, during which the well is shut in to allow CO2 to dissolve into the oil; and 3) the production stage (“puff”), where the system is depressurized to produce oil.256,257 The process can operate under immiscible or miscible conditions depending on reservoir pressure after injection, with miscible or near miscible states significantly enhancing oil recovery.257–259 Key mechanisms include CO2 exsolution, oil swelling, viscosity reduction, and decreased interfacial tension.259,260 During depressurization, supersaturated CO2 separates from the oil phase, forming bubbles that expand and migrate, thereby displacing oil and improving recovery efficiency.
3.3.1 Gas exsolution. During the production stage, depressurization triggers gas exsolution, where previously dissolved CO2 separates from the oil phase. As pressure decreases, CO2 becomes supersaturated in the oil, separating, expanding, and migrating to displace the oil, further enhancing recovery efficiency.259,260 Microfluidic experiments have provided valuable insights into the gas exsolution phenomena, as shown in Fig. 11A, replicating the huff-n-puff process in three stages: 1) high-pressure injection, 2) a soaking period for gas dissolution, and 3) depressurization.212,213 Nguyen et al.213 compared CO2 and N2 huff-n-puff in glass micromodels at 10 MPa and 50 °C, demonstrating that miscible CO2 achieved over 90% oil recovery, compared to 40% for immiscible N2.213 Miscibility and solubility are hence critical to the huff-n-puff efficiency.213 Microfluidic fluorescent imaging revealed CO2 bubble nucleation, growth, coalescence, and expansion as the primary recovery mechanisms (Fig. 11B). Even in immiscible CO2 huff-n-puff, exsolution and bubble expansion remained the driving forces, achieving 73% oil recovery at 6 MPa and 110 °C.215
image file: d5lc00428d-f11.tif
Fig. 11 Microfluidic investigations of the CO2 huff-n-puff process. (A) A schematic illustration of the huff-n-puff process in a microfluidic device (adapted with permission from Guo et al.212 Copyright © 2022 Elsevier). (B) Left: Fluorescent imaging showing 95% oil recovery after depressurization. Right: Gas exsolution during depressurization, including CO2 bubble nucleation and growth (adapted with permission from Nguyen et al.213 Copyright © 2018 Elsevier).
3.3.2 Effect of depressurizing rate and temperature. Rapid depressurization enhances miscible CO2 huff-n-puff efficiency by maintaining higher levels of CO2 supersaturation, which promotes bubble nucleation and growth.212,215 Additionally, microfluidic studies on CO2 exsolution suggest that lower temperatures can further enhance bubble nucleation.214 At lower temperatures, reduced diffusion leads to higher CO2 supersaturation, resulting in more effective gas exsolution.214 Xu et al.214 observed nucleation occurring preferentially at fluid–solid interfaces, where the energy barrier is lower.214 Although the exsolved bubble nuclei form at random locations within the microfluidics, CO2 bubbles preferentially grow in the pore bodies rather than in the throats due to capillary pressure constraints.214 This differential distribution of exsolved CO2 bubbles within the pore space (bodies vs. throats) may contribute to capillary trapping for CO2 geological storage during the huff-n-puff process.
3.3.3 Presence of water. The presence of water in the reservoir, often due to previous waterflooding, also plays a critical role in the huff-n-puff process.216 Microfluidic studies by Huang et al.216 revealed that water trapped between CO2 and oil phases increases capillary pressure, which can hinder bubble coalescence and migration.216 This, in turn, increases residual CO2 saturation, improving both oil recovery and CO2 storage efficiency.216
3.3.4 Effect of nanoconfinement. Micro- and nanofluidics have also shed light on the effects of nanoconfinement during the huff-n-puff process.25,217 In nanometer-scale channels, high capillary pressures between CO2 and oil result in lower oil-phase pressure under the same CO2 injection conditions.25,217 This reduced oil pressure decreases CO2 solubility in the oil, leading to lower CO2 saturation levels.25,217 To compensate, a higher depressurization rate is required to overcome diffusion limitations and achieve effective oil recovery.25,217 These findings highlight the importance of carefully considering nanoconfinement effects when applying the huff-n-puff technique in fractured tight reservoirs.

Future research could leverage microfluidics to investigate key factors influencing CO2 huff-n-puff performance, such as cycle number, soaking time, oil composition, and injection strategy.256 Further integration of microfluidics with techniques like particle image velocimetry (PIV) and spectroscopy could provide deeper insights into CO2 dissolution, multiphase flow, and oil displacement, offering advancements beyond the traditional core flooding methods.

Moreover, challenges such as asphaltene precipitation during CO2 huff-n-puff require further investigation using microfluidic visualization. Addressing these challenges is essential for optimizing CO2-EOR and ensuring long-term reservoir performance.

3.4 Foam-assisted CO2-EOR

Foam is injected into subsurface porous media for various applications, including EOR,7,59,80,155,261,262 soil or aquifer contamination remediation (e.g., nonaqueous phase liquid removal),113,263–266 carbon capture, storage and sequestration,2,218,267,268 and hydraulic fracturing.269–271 Driven by EOR performance, the traditional and most prevalent method for studying CO2 foam flooding at the laboratory scale involves core flooding, where fluid is flooded through natural rock samples.272–276 This approach has provided insights into various EOR processes.272,274,277,278 Alternative visual experiments were conducted in Hele-Shaw cells, either empty,219,279,280 filled with glass beads,281,282 or patterned,119,283 simulating the porous media environment. These cells facilitate the visualization of foam–oil interactions and displacement dynamics. Moreover, some researchers have turned to advanced imaging techniques, such as computed tomography (CT)284–287 and nuclear magnetic resonance (NMR),288,289 to trace fluid flow and saturation distributions within rock samples.

Foam substitutes conventional flooding fluids such as water,290,291 chemicals (e.g., surfactants and nanoparticles),292,293 and gas218 to mitigate the challenges of early breakthrough and low sweep efficiency originating from the low viscosity and density of these conventional fluids. Moreover, foam injection can improve the preferential flow challenge caused by heterogeneity—primarily permeability contrast—of underground porous formations. In general, foam, with increased viscosity and density, is a beneficial option as it controls the mobility of the injected fluids to suppress viscous fingering, gravity override, and preferential flow (Fig. 12A).27,272,279 The mobility ratio (MR) is crucial in reflecting the importance of mobility control in EOR, expressed as:

 
image file: d5lc00428d-t1.tif(2)
where Kr,I and Kr,R are the relative permeabilities of the injected and residing fluids, respectively; μI and μR represent the viscosities of the injected and residing fluids, respectively.


image file: d5lc00428d-f12.tif
Fig. 12 Microfluidic results for foam flow and stability in porous media: (A) challenges with CO2 gas injection into subsurface porous media include gas override due to buoyancy and viscous fingering due to its low viscosity, i.e., higher mobility compared to the residing oil phase (MR > 1) (adapted from Pal et al.294 under CC-BY License). (B) Fluid–fluid displacement in heterogeneous PDMS porous media, comparing (top) foam and (bottom) gas injection effects on water (shown in green) displacement in high and low permeability zones. Foam lamellae block the (lower layer) high-permeability zone, allowing fluid displacement to the (upper layer) low-permeability zone. However, gas injection leads to viscous fingering in the high-permeability zone and early breakthrough (the scale bars are 500 μm; adapted with permission from Ma et al.80 Copyright © 2012 the Royal Society of Chemistry). (C) Effect of gas solubility and diffusivity on the foam coarsening rates of air, N2, and CO2 foams at 600 psi and 22 °C (adapted from Yu et al.295 under CC-BY-NC-ND License). (D) Foam coarsening dynamics by Ostwald ripening (top 4 images), where gas diffuses from smaller to larger bubbles, and reverse Ostwald ripening (bottom 2 images), where the opposite occurs (with top and bottom scale bars of 100 μm and 50 μm, respectively; adapted from Huang et al.296 under CC-BY License). (E) Displacement of crude oil (brown) by foam in a heterogeneous porous medium. Foam coalescence and surfactant adsorption on the surface altered the wettability from hydrophobic to hydrophilic. Foam bubbles exhibited greater stability in the absence of oil (top; adapted with permission from Xiao et al.81 Copyright © 2018 American Chemical Society). Displacement of crude oil (black) by foam in a glass microfluidic chip. The addition of silica nanoparticles improved foam stability by reducing bubble coarsening (right), compared to the formation of large gas slugs when using only a surfactant (left) (middle; adapted with permission from Zhao et al.297 Copyright © 2021 Elsevier). The interaction of foam bubbles with paraffin oil (red) in a glass-etched microfluidic chip, shown without (left) and with (right) the use of silica nanoparticles (bottom; adapted with permission from Yekeen et al.298 Copyright © 2017 Elsevier). (F) Effects of gas ratio (or foam quality) and additives (nanoparticles and surfactants) on foam's apparent viscosity, highlighting the stabilization by nanoparticles and the influence of surfactant concentration (top figure adapted with permission from Lv et al.123 Copyright © 2022 Elsevier and bottom figure adapted with permission from Wang et al.299 Copyright © 2025 American Chemical Society).

A desirable injection process provides MR values smaller than unity, indicating that the mobility of the injected fluid is sufficiently reduced and lower than that of the residing one, either through smaller Kr,I or higher μI. Strictly speaking in EOR, the feasibility of using a well-established method of CO2 gas injection is limited to the production of light hydrocarbons, which contribute to only 30% of the global reserves.300 In addition, CO2 injection to recover heavy (unconventional) hydrocarbons results in MR > 1 since the viscosity of CO2 gas is considerably lower than the residing hydrocarbons in subsurface layers.301–303 Foam plays a crucial role in EOR and provides an effective solution for the latter scenario by increasing the viscosity of the displacing fluid. This increase is achieved by trapping gas within the liquid lamellae, forming a foam structure that impedes fluid flow. The additional viscosity introduced by the foam may be conceptualized as:304–306

 
image file: d5lc00428d-t2.tif(3)
where α and c are constants that characterize the contribution of the trapped gas to the overall viscosity of the foam. This mechanism is critical for enhancing EOR efficiency by reducing the mobility of the injected fluid, thereby better controlling the fluid flow in the reservoir.

The additional viscosity has been attributed to the interfacial viscosity between the foam bubbles307,308 and the confinement of the bubbles moving through the capillary pores.272,306 Some visual studies have reported local foam trapping in the high-permeable regions, effectively redirecting subsequent bubbles toward areas with lower permeability.59,80,287,309–311 Local pore blockage redirects foam to less resistant pathways, leading to the formation of permanent or temporary preferential flow paths.119,218,312–314

Microfluidic devices have been utilized to investigate foam characterization and oil displacement by foam under diverse operational conditions.59,212,218,295,313,315 Huh et al.316's study was among the early attempts to visualize foam flow in a microfluidic device, showing increased bubble generation in heterogeneous structures.316 Not until the last decade was soft lithography utilized to study foam-EOR in microfluidic porous media. Ma et al.80 fabricated their mold with maskless photolithography and then bonded the PDMS stamps to PDMS-coated glass slabs to provide uniform wettability.80 They noted that air foam could effectively block the highly-permeable areas, thus redirecting bubble flow towards less-permeable zones. In general, dry foams controlled the mobility and delayed the breakthrough time (up to 11.20 s), while pure air injection accelerated it (to 0.03 s) due to significant viscous fingering (Fig. 12B).

3.4.1 Foam stability. The ongoing developments in MEMS and soft lithography technologies have motivated more foam-assisted EOR investigations in both hard and soft microfluidic systems. A major area of focus is the characterization and screening of the operational conditions and foam components to improve the stability of the foam bubbles in the presence of oil. This includes selecting appropriate types and concentrations of foaming agents,123,155,220,297,298,317–321 such as surfactants, nanoparticles, and polymers, beside the composition of oil,297,298 the pressure and temperature of the porous media,295,322 the gas type,295,312 and the brine chemistry.220,298
Foam coarsening and stability. Yu et al.295 explored the coarsening rate of static foam bubbles within a glass microfluidic chip, revealing that foam coarsens with reduced surfactant concentration, increased gas fraction, higher gas solubility in the liquid phase (Fig. 12C), elevated temperatures, and greater molar volume of the dispersed (gas) phase.295 Huang et al.296 utilized structured silicon substrates fabricated by direct laser writing and DRIE296 to study bubble patterns affected by coarsening dynamics. They created various bubble patterns by adjusting the number and spacing of the microfluidic pillars. These patterns emerged as a result of regular coarsening, reverse coarsening at bubble-pillar contact edges, and bubble aggregation in larger domains (Fig. 12D). They found that the gas volume fraction played a critical role in bubble patterning, with higher gas availability enhancing bubble stability during the coarsening process. Benali et al.314 etched a heterogeneous design of a porous medium on a silicon wafer (down to 30 μm by the DRIE technique). Their temporal image analysis revealed that although bubble regeneration and refinement in porous media can increase their number density, foam decay mechanisms through coarsening may dominate the generation rate and lower the foam density. Adding silica nanoparticles did not significantly influence the foam generation and decay rates.

Guo and Aryana, using a wet-etched glass micro-model, found that while some surfactants can generate greater foam volumes favorable for EOR, formulations with better stability and lower chemical usage are often more desirable.323 They also proposed mixing CO2 with N2 to reduce gas diffusion through foam lamella,324 thus improving the foam stability and enabling foam propagation into a larger area of the medium with more gas trapping, as a desirable scenario for CCUS purposes. Moreover, foam injection is increasingly being combined with other EOR methods, such as steam assisted gravity drainage (SAGD)317 or surfactant flooding,292 to improve fluid propagation in porous media. This integration requires careful screening and optimization of foam formulations to achieve stable bubbles under the desired conditions.


Effect of oil. A persistent challenge in using foam for oil displacement is the destabilizing effect of oil on foam lamellae.81,155,281,298,325,326 Xiao et al.81 observed N2 bubble coalescence at the foam–oil interface, attributed to imbalanced interfacial capillary tensions resulting in positive entry and spreading coefficients, which explained the disruption of foam lamellae by oil.81 This coalescence released surfactant, which subsequently adsorbed onto the surface of the microfluidic porous medium, altering wettability and ultimately enhancing foam stability. The authors reported that oil recovery using N2 foam was significantly higher compared to displacement processes with single-phase fluids (Fig. 12E-top). Nanoparticles, primarily silica nanoparticles, were found to markedly enhance the stability of foam bubbles in the presence of oil (Fig. 12E-middle and bottom and F-top).155,297,323,327–329 By adsorbing at the gas–liquid interface, nanoparticles help mitigate foam decay mechanisms, such as liquid drainage, film rupture, and gas diffusion (coarsening).330–332
3.4.2 Entrapment and viscosity. Gas trapping and foam viscosity play a crucial role in sweep efficiency and oil displacement, both of which are strongly influenced by morphology of foams. The bubbles' morphology, in turn, is influenced by various factors, with pore size distribution, gas fraction, foaming agents, and decay rate being the most significant contributors.27,333–336

The relationship between bubble size (gas fraction) and apparent viscosity has yielded inconsistent findings in the literature. Several studies have reported a direct correlation, where larger bubbles are associated with increased viscosity, resulting in improved fluid diversion and expanded foam propagation in porous media.80,219,220,318,336,337 However, other studies have revealed contrasting findings, observing a decrease in foam viscosity at higher gas fractions.338,339

The apparent viscosity of foams is typically estimated using pressure gradient measurements combined with fluid flow equations for porous media, such as the Hagen–Poiseuille or Darcy's equations.280,281,336,340 Experimental results show that the pressure gradient generated by foam in porous media is influenced by various parameters, in addition to gas type, such as lamella density,312,340 and foam total velocity.280,336,341 For instance, some studies have reported that depending on the foam's gas fraction, the pressure gradient increases under gas-rate-independent or liquid-rate-independent flow regimes.341,342 In the gas-rate-independent flow regime, the foam reaches a critical capillary pressure beyond which foam coalescence reduces lamella density, leading to a decrease in foam viscosity (Fig. 12F).

Overall, the understanding and prediction of foam transport properties, particularly foam viscosity in porous media, are complicated and constrained by a wide range of interconnected variables. A recent study by Wang et al.299 using a soft microfluidic chip (Norland Optical Adhesives 81) explored how variations in foam's gas fraction influenced key parameters, such as gas fraction, lamella density, bubble size, and apparent viscosity.299 Their findings indicated that these parameters typically increase with the foam's gas fraction until reaching a threshold, beyond which they decline due to insufficient surfactant concentration leading to unstable liquid lamellae (Fig. 12F-bottom). They also observed that the mobility of smaller bubbles in the range of pore size distribution is the key to predicting the foam viscosity variation.

3.4.3 Fluid displacement. Microfluidic experiments on fluid–fluid displacement (e.g., water displaced by foam/oil/CO2 gas, oil displaced by water) have been performed to identify the required conditions to achieve stable and favorable displacement fronts, while minimizing the formation of viscous and capillary fingering.80,343–345 However, the pore-scale dynamics of aqueous or oil-based fluids displaced by foam remain less explored due to the complexity of foam behavior in multiphase porous media. Foam flow in porous media differs significantly from bulk foam flow because the bubbles are confined by micro- or nano-scale pore structures, which are influenced by factors, such as permeability, heterogeneity, connectivity, and wettability346,347 and controlled by viscous, capillary, and gravity forces.348

In a comprehensive study, Zheng et al.218 utilized a high pressure-high temperature microfluidic chip to visualize the displacement of brine by CO2 in various phases: gas, liquid, supercritical, and foam. They mapped different displacement-pattern regimes on a phase diagram depending on the corresponding capillary number and viscosity ratio (discussed in section 4.1). Their results indicated that foam injection was the only method that consistently resulted in “stable displacement”, while the other CO2 fluids penetrated the residing brine and caused viscous fingering (Fig. 13A).218 Similarly, Ma et al.80 observed that air foam in a PDMS dual-layered chip with a permeability contrast of four enhanced water displacement more effectively than gas due to reduced breakthrough times in high permeability zones (Fig. 12B).


image file: d5lc00428d-f13.tif
Fig. 13 Summary of displacement dynamics by foam in microfluidic models: (A) saline water displacement by CO2 gas (yellow) showing viscous fingering (top) and by CO2 foam with a stabilized front (bottom) at the flow rate of 100 μL min−1 in a quartz-etched porous medium (adapted with permission from Zheng et al.218 Copyright © 2017 John Wiley & Sons). (B) Paraffin oil displacement by water, water alternating gas (WAG), and foam in a heterogeneous multi-layer microfluidic (PDMS) porous medium, demonstrating foam's superior oil recovery efficiency in all regions compared to water and WAG shown in (C) (adapted from Conn et al.59 under CC-BY License). (D) Isopar V oil displacement by foam in 3D printed porous media placed horizontally (top) and vertically (bottom) to examine gravity effects on displacement patterns, highlighting gravity's impact on front propagation. In horizontal mode, gravity's impact is minimal, creating symmetrical fronts. In vertical mode, gravity override speeds up propagation in the lower region, leading to S-shaped fronts due to higher liquid saturation (adapted from Shojaei et al.349 under CC-BY License). (E) Oil (black) displacement by water (top) and foam (bottom) in heterogeneous (glass-etched) media, showing foam's ability to mitigate fluid channeling and improve oil sweep efficiency (adapted with permission from Sun et al.350 Copyright © 2014 American Chemical Society). (F) Residual oil (pink) after water then foam injection into heterogeneous porous media with (left) low and (right) high permeability that were laser-etched on glass substrates. Foam displaced the residual oil remaining after water flooding and reached over 90% oil recovery in both cases. Larger pore and throat sizes of the high permeable structure allowed higher gas saturation (adapted with permission from Wang et al.311 Copyright © 2021 American Chemical Society). (G) Gas saturation vs. time (injected pore volume) during oil displacement by foam in a heterogeneous porous medium with two high and low permeable layers fabricated on a UV curable epoxy (NOA 81). Gas saturation is higher in the more permeable region due to greater opposing capillary pressures that prevent non-wetting gas from entering less permeable areas (adapted with permission from Xiao et al.81 Copyright © 2018 American Chemical Society). (H) Gas storage vs. gas-injection pressure during oil displacement by gas in a heterogeneous (glass-etched) porous medium with high (HPZ) and low (LPZ) permeable zones. Higher pressures improved gas storage by overcoming capillary resistance, allowing greater gas saturation in more permeable areas (adapted with permission from Qian et al.196 Copyright © 2025 Elsevier).

Shojaei et al.349 investigated in situ generated foam for displacing oil in a 3D printed (acrylic oligomer) heterogeneous (vertically oriented) porous medium, showing effective oil recovery despite gravity-induced phase segregation (Fig. 13D). The efficiency of oil recovery and gas saturation in the porous medium depended on the fluids' injection flow rates. While elevated flow rates promoted foam generation and increased lamellae density, they also led to the inevitable consequence of viscous fingering.


Comparative analysis of foam and other fluids. Conn et al.59 investigated the performance of water flooding, water alternating gas (WAG), and N2 foam flooding in a hydrophobic heterogeneous PDMS microfluidic chip. Their findings revealed a significantly higher silicone oil recovery of 75% and improved sweep efficiency during foam injection, attributed to the ability of foam bubbles to control mobility within fractures and high permeability regions, enabling more effective oil displacement in low permeability zones (Fig. 13B and C). Sun et al.350 compared crude oil displacement by different injection fluids in their glass micro model fabricated by photochemical etching. They reported that water failed to sweep oil effectively due to its high mobility relative to the oil phase (Fig. 13E-top). In contrast, oil recovery increased to 77% with the injection of surfactant foam owing to mobility reduction. Surfactant-nanoparticle foam achieved even higher oil recovery (94%, Fig. 13E-top) by enhancing the viscoelasticity and stability of foam lamellae. Their sand-pack experiments confirmed this trend, demonstrating similar recovery patterns for water and foam injections.

Additionally, Zheng et al.218 demonstrated that the increased viscosity of CO2 foam, in a homogeneous quartz device, significantly improved the stability of water displacement, leading to minimal residual water and 68% CO2 storage. In contrast, using CO2 gas gave rise to the formation of capillary and viscous fingering, higher residual water saturation, and a reduced CO2 storage of 56%.218 These results were consistent with the findings by Guo et al.351 who used SEM images and photolithography to obtain and replicate a 2D heterogeneous structural network of a rock sample on a borosilicate substrate with a porosity of 45% and permeability of 15 mD. Foam injection outperformed gas and water injections to improve recovery factors for water and oil displacements by 34% and 33%, respectively.351,352

In certain cases, foam is injected as a complementary agent to address high residual oil saturation after water155,292,327,328,350,352,353 or solvent292,354 injection. Foam can penetrate previously unswept zones to mobilize trapped or bypassed oil and enhance recovery.


Effect of heterogeneity. In heterogeneous porous media, the non-wetting gas phase preferentially flows through high permeability pathways with minimal resistance, leaving low permeability regions unswept59,315,353 (Fig. 12C-bottom). Foam application can mitigate this by reducing fluid mobility in the high permeability paths (by pore blocking) and diverting the flow toward low permeable regions, thereby enhancing the overall swept area and improved oil recovery outcomes (Fig. 12C-top).59,288,313,353,355–357

The dynamics of foam flow in porous media are influenced by the pore structure and surface properties. Preferential flow paths emerge during foam flow due to heterogeneity caused by permeability contrasts. Foam tends to flow more easily through high-permeability pathways, while in the most resistant regions with maximum capillary pressure, foam trapping occurs.314 However, pore blockage and the formation of preferential flow paths are not limited to heterogeneous media. Lv et al.312 observed that in a homogeneous pore structure, pore blockage occurred due to gas trapping, causing foam to flow through unblocked pathways.312

In hydrophilic heterogeneous microfluidic chips, several fluid-displacement studies observed higher gas saturation in high permeability regions, while low permeability zones remained predominantly filled with aqueous liquid (Fig. 13F–H).80,81,311,352,353,358 This is because capillary pressure is a driving force for the wetting liquid phase but an opposing force for the non-wetting gas phase. Thereby, when gas cannot overcome the limiting capillary force in the low permeability area, it is redirected toward the high permeability regions.81

3.5 Multiscale comparison of EOR efficacy

Geometry, wettability, and heterogeneity of chip models can significantly alter measured recovery factors (RF), often leading to substantial variation in reported efficacy.359 As commonly reported in the literature, the recovery process of oil in reservoirs is often approximately 20%, 15%, and 15% during primary, secondary, and tertiary recoveries, respectively.360–362 The field results suggest that proper selection of EOR methods is necessary for the success of oil production.

Taking advantage of the reproducibility of microfluidics technology, alterations in EOR methods from thermal (e.g., hot water, cyclic vapor), gaseous (e.g., miscible CO2), chemical (e.g., nanoparticles, surfactant), to others (e.g., microbiological) has been conducted by researchers.361–365 Behera et al.363 developed a novel nanofluid (SMART LowSal), formulated in low salinity seawater containing anionic surfactant, polymer, and low concentration of silica nanoparticles, that was capable of increasing the recovery rate by an additional 20–30% during microfluidic experiments. Observations indicated that the injected nanofluids significantly lowered the fluid–fluid interfacial tension causing the oil droplets to be elongated, and modified the grain–fluid wettability. However, such nanofluids only demonstrated an increase of 5–6% after chemical flooding in the sand-pack reactor and Amott cell.363 An alternative study with CuO + PVA + surfactant nanofluid by Tuok et al.365 achieved a RF of 72% when conducting the experiment in a microfluidic matrix. Meanwhile, Zhu et al.364 demonstrated that 12 hours of soaking of pre-injected CO2 foam followed by foam flooding recovered, in general, almost 57% of crude oil originally in place. Although this foam flooding technique is considered a major improvement to water flooding (∼30%),364 the core flooding results are still far off from the ones observed in microfluidic studies and are still higher than the globally reported average RF of 20–40% in reservoirs,360–362 as shown in Table 2.

Table 2 Ranges of recovery factor (RF) in enhanced oil recovery from pore-scale to Darcy-scale reported in the literature278,359–369
Microfluidics Core flooding Field reservoir
0.5–0.8 0.3–0.6 0.2–0.4


The reduction in recovery factor from microfluidic experiments, to the core flooding test, to the reservoir scale indicates the existence of a multi-scale discrepancy in EOR. Though microfluidics remains indispensable for high-resolution visualization of pore-scale phenomena at low environmental impact, direct translation of RF from chip to field without correction can lead to overly optimistic projections. The literature increasingly recommends a tiered approach, where microfluidic data informs chemical formulation and injection strategy, followed by upscaling through core flooding, and final validation in pilot tests to account for scale-dependent physics, reservoir heterogeneity, and operational limitations.359,366,367

4 Microfluidic investigations on CO2 sequestration in saline aquifers

Carbon storage in deep saline aquifers involves multiple trapping mechanisms, as illustrated in Fig. 14A, which are important for long-term CO2 sequestration.370,371 Upon CO2 injection, buoyancy drives the CO2 plume upwards, where it becomes structurally trapped beneath impermeable cap rocks in the sedimentary basin.370,371 Structural trapping plays an important role shortly after injection.371 Subsequently, residual (capillary) trapping occurs when CO2 is trapped in pore spaces due to capillary forces.371 Over longer timescales, solubility and mineral trapping provide more secure storage.371 In solubility trapping, CO2 gradually dissolves into brine, a process initially driven by diffusion at the CO2/brine interface and significantly enhanced by convective mixing.370,371 In mineral trapping, CO2-acidified brine may react with minerals, such as calcium, to form solid carbonates, effectively trapping CO2 in mineral form.371
image file: d5lc00428d-f14.tif
Fig. 14 Microfluidic investigations of CO2 trapping mechanisms in saline aquifers for CCS applications. (A) Schematic representation of CO2 trapping mechanisms in porous media, including structural, residual, and dissolution/mineral trapping (adapted with permission from Elryes et al.396 Copyright © 2024 American Chemical Society). (B) Phase diagram of fluid displacement regimes (capillary fingering, viscous fingering, stable displacement) as a function of capillary number (Ca) and viscosity ratio (M) (adapted with permission from Zheng et al.218 Copyright © 2017 American Geophysical Union). (C) Microfluidic visualization of CO2 displacement in porous media under different flow rates (1, 10, 100 μL min−1) and CO2 phase states (gaseous, liquid, supercritical) (adapted with permission from Zheng et al.218). (D) Effect of Ca on maximum CO2 saturation (Smax), highlighting the crossover regime where saturation is minimized (adapted with permission from Li et al.395 Copyright © 2019 American Geophysical Union). (E) Wettability effect on CO2 trapping in water-wet (a′) and intermediate-wet (b′) micromodels (adapted with permission from Hu et al.378 Copyright © 2017 American Geophysical Union). (F) Micro-PIV analysis of CO2 invasion dynamics in porous media, showing raw imaging data and velocity field measurements, with velocity bursts during “Haines jumps” indicated (adapted with permission from Li et al.397 Copyright © 2017 American Geophysical Union).

Among these trapping mechanisms, microfluidics has been primarily used to study capillary and solubility trapping due to its ability to visualize pore-scale fluid dynamics, with limited research on structural and mineral trapping. The micron-scale dimensions of microfluidic devices do not adequately replicate geological features, such as cap rocks or large fractures necessary for structural trapping. Additionally, microfluidic studies on mineral trapping are scarce,372–374 as the silicon or glass substrates commonly used fail to capture the complexity of reservoir rock structures and mineral compositions.375 Furthermore, the slow kinetics of mineralization, relevant on geological timescales, exceed the typical temporal scope of short-term microfluidic experiments.371,376

In contrast, microfluidics is particularly effective for studying pore-scale fluid dynamics relevant to capillary and solubility trapping. Recent microfluidic studies have provided critical insights into displacement patterns,377–379 dissolution kinetics in quasi-2D porous media,380–383 and key properties such as solubility,384 diffusivity,83 and mass transfer coefficients.84,96,99,100,385–389 The following section reviews how microfluidic studies contribute to understanding CO2 capillary (section 4.1) and solubility trapping mechanisms (section 4.2), as well as the associated salt precipitation processes (section 4.3), in CCS within deep saline aquifers. By offering a detailed understanding of the critical parameters affecting CO2 underground trapping, microfluidic research contributes to optimizing CCS processes, maximizing CO2 storage capacity while mitigating the adverse effects of salt precipitation in deep saline aquifers.

4.1 CO2 capillary trapping

Capillary trapping, also termed residual trapping, is a critical mechanism in CO2 sequestration where CO2, injected into brine-saturated porous media, is trapped when capillary forces exceeding buoyancy forces, leading to high CO2 saturation levels.376 Capillary trapping strongly depends on the efficiency of CO2–brine displacement in porous media, which controls the amount of CO2 immobilized in the porous network through the interplay between capillary and viscous forces.376 Similar to other two-phase immiscible flows in porous media, CO2–brine displacement is strongly influenced by parameters such as the viscosity ratio (M = μCO2/μb) between CO2 and brine, capillary number (Ca = μV/σ), and surface wettability.18,390–393 Depending on M and Ca, fluid displacement follows distinct flow regimes, including viscous fingering (low M, high Ca), capillary fingering (low Ca), stable displacement (high M, high Ca), or transitions between these regimes.23,218,377,378,383,394,395 These flow regimes are often visualized using phase diagrams, as seen in Fig. 14B.

Microfluidic techniques have been employed to systematically investigate CO2 capillary trapping and displacement patterns under high-pressure conditions relevant to CCS operations.23,218,378,383,394,395 Visualizations show that CO2 injection into brine-filled porous media results in capillary or viscous fingering, depending on Ca.23,218,378,383,394,395 Viscous fingering occurs when a low-viscosity fluid displaces a higher-viscosity fluid, leading to interfacial instability that generates finger-like patterns.398 In contrast, capillary fingering occurs at low Ca, where the capillary force dominates over viscous force, forming narrow and irregular pathways.18,390 Since CO2 generally has a lower viscosity than water or brine (whether in gas, liquid, or supercritical state), achieving stable displacement is challenging due to the unfavorable viscosity ratio. Intermediate Ca often leads to a crossover between the two.23,218,378,383,394,395 Zheng et al.218 demonstrated that liquid CO2, with its higher viscosity, achieves better displacement efficiency than gas or supercritical CO2 under the same injection rates (seen in Fig. 14C).218

Studies by Li et al.395 revealed a non-linear relationship between CO2 saturation and the capillary number (Ca) across a broad range of Ca (10−6.3–10−3.6) (Fig. 14D).395 CO2 saturation decreases with increasing Ca in the capillary fingering regime but increases with Ca in the viscous fingering regime.395 The lowest saturation occurs in the crossover region between these two regimes, indicating that avoiding this critical Ca range is essential for maximizing CO2 trapping efficiency in CCS applications.395

To improve CO2 trapping, researchers have proposed foam injection into saline aquifers.218 Microfluidic experiments reveal that CO2 foam stabilizes the displacement front by increasing the viscosity ratio (M), improving storage efficiency by 23–53% compared to pure CO2 injection.218 However, increasing brine salinity from 0 to 5 mol L−1 reduces displacement efficiency.377 The adverse effect of brine salinity is attributed to higher brine viscosity and increased CO2–brine interfacial tension, which decrease both the viscosity ratio (M) and the capillary number (Ca), ultimately lowering the trapping efficiency.377

The wettability of the porous media strongly affects capillary trapping.378,399 Hu et al.378 demonstrated that intermediate-wet micromodels (with an in situ contact angle, θbrine = 94°) trapped 15% more CO2 compared to water-wet micromodels (with θbrine = 20°).378 As shown in the pore-scale visualization in Fig. 14E, the lower CO2 saturation in the water-wet micromodel was attributed to brine adhering to the solid surface, which reduced the pore space available for CO2.378 Image analysis revealed that the intermediate-wet micromodel exhibited a higher number of CO2 clusters and a larger average cluster radius compared to the water-wet micromodel.378 Wettability effects were found to be more pronounced at lower flow rates.378 Moreover, pore-scale observations revealed that wettability can change during CO2 injection due to CO2 dissolution in brine, which lowers pH and increases the water contact angle on silica surfaces.218,399

Advanced optical methods, such as microscopic particle image velocimetry (micro-PIV), have improved the understanding of capillary trapping by providing detailed velocity fields in the aqueous phase near the CO2 displacement front.397,400,401 Experiments with homogeneous micromodels and porous rock replicas revealed “Haines jumps”, which are rapid bursts of velocity during CO2 finger formation, with speeds exceeding 20 times the bulk flow.397,400 These sudden pore-filling events occur when a non-wetting fluid displaces a wetting fluid in porous media, causing abrupt changes in capillary pressure.402 This dynamic promotes finger formation and enhances capillary trapping of the non-wetting phase.402 The raw micro-PIV image and the corresponding velocity field are shown in Fig. 14F. After CO2 breakthrough, micro-PIV visualizations revealed vorticity contours near the CO2–brine interface, indicating water recirculation zones that may enhance CO2 dissolution and improve solubility trapping.397,400

Microfluidic studies have demonstrated that capillary trapping efficiency depends strongly on the viscosity ratio (M), capillary number (Ca), and surface wettability. By optimizing CO2 injection rates, viscosity, and interfacial properties, CO2 underground storage in saline aquifers can be enhanced. Microfluidic studies have also shown that CO2 foam injection, by increasing M, has potential for creating a stable displacement front. Future research involving advanced techniques, such as micro-PIV, could further elucidate pore-scale flow dynamics and inform strategies for efficient carbon storage.397,400

4.2 CO2 solubility trapping

Solubility trapping involves CO2 dissolving into reservoir brine.371,376 At the CO2–brine interface, CO2 diffuses due to a concentration gradient, and the process of mass transfer is further enhanced by fluid recirculation and density-driven brine convection.371,376 The combined mechanisms of diffusion and convection significantly accelerate the dissolution of CO2. Solubility trapping is influenced by key parameters such as solubility, diffusion rate, and the mass transfer coefficient. These parameters are critical for estimating storage capacity under specific pressure, temperature, and brine composition. Microfluidic platforms, often integrated with optical and spectroscopic methods, have proven effective for quantifying CO2 solubility,384 diffusivity,83 and mass transfer coefficients.84,96,99,100,385–389,403
4.2.1 Solubility measurements. Solubility is a crucial thermodynamic property used to estimate the theoretical CO2 storage capacity in saline aquifers.371 Liu et al.384 utilized Raman spectroscopy integrated in a microfluidic setup to investigate CO2 solubility under varying conditions of temperature (T = 22–100 °C), pressure (P = 1.1–10 MPa), and salinity (S = 0–3 mol L−1).384 In their experiments, a segmented flow of CO2 in brine was first stabilized before the flow was stopped.384 As shown in Fig. 15A, Raman spectroscopy measured the intensity of the CO2(aq) band in the aqueous phase to calculate the mole fraction of dissolved CO2.384 The band intensity stabilized within one minute, indicating that equilibrium had been reached.384 Their study revealed that CO2 solubility (0–0.025 mol mol−1 water) increases with CO2 density, but decreases as salinity increases from 0 to 3 mol L−1.384
image file: d5lc00428d-f15.tif
Fig. 15 Microfluidic investigations into CO2 solubility, diffusivity, mass transfer coefficient, and dissolution kinetics in porous media. (A) CO2 solubility: Raman spectroscopy combined with microfluidics quantifies CO2 solubility in brine at various temperatures, pressures, and salinities, with characteristic Fermi dyad peaks for dissolved CO2(aq) (adapted with permission from Liu et al.384 Copyright © 2012 Elsevier). (B) CO2 diffusivity: fluorescence microscopy visualizes CO2 diffusion at the CO2–brine interface, where low-pH regions correspond to higher CO2 concentrations. Adapted with permission from Sell et al.83 Copyright © 2013 American Chemical Society. (C) CO2 mass transfer coefficient: microfluidic experiments with elongated CO2 bubbles in serpentine microchannels measure bubble length reduction under varying pressures and CO2 phases (gas, liquid, supercritical), showing spatial and phase-dependent mass transfer rates (adapted from Ho et al.84 under CC-BY License). (D) CO2 dissolution kinetics in porous media: high-resolution pH mapping visualizes the dissolution of supercritical CO2 into residual water in porous micromodels over time, revealing spatially varying dissolution patterns and pH changes (adapted with permission from Chang et al.382 Copyright © 2016 Elsevier).
4.2.2 Diffusivity studies. Diffusivity, or the diffusion coefficient, describes the rate at which CO2 molecules move under a concentration gradient in brine. Sell et al.83 used fluorescence microscopy to measure CO2 diffusivity in brine with varying salinities at a static CO2–brine interface.83 They quantified the amount of CO2 dissolution by monitoring pH changes, reflected in fluorescence intensity (see Fig. 15B).83 Their results showed that CO2 diffusivity decreases exponentially with increasing salinity (0–5 mol L−1), while pressure (5–50 bar) had minimal impact.83
4.2.3 Mass transfer coefficient. Microfluidic platforms have also recently been used to study microbubble dissolution kinetics, motivated by the mechanisms of CO2 solubility trapping.84,96,99,100,385–389,403 The volumetric mass transfer coefficient, kLa, quantifies the rate of CO2 mass transfer into the liquid, where kL is the liquid-side mass transfer rate and a represents the interfacial area per unit liquid volume. Microfluidic measurements more accurately simulate processes occurring within micron-scale pores. The high surface-to-volume ratio in microchannels leads to kLa values that are 2–3 orders of magnitude greater than those in millimeter-scale systems.84 Using hydrodynamic focusing or T-junction designs, elongated CO2 bubbles are generated in serpentine channels, allowing researchers to monitor bubble length reduction and quantify kLa, as shown in Fig. 15C.84,100,386,388 The shrinkage of CO2 bubbles reflects interfacial mass transfer, typically showing a rapid dissolution rate initially, followed by a slower rate downstream.84,100,386,388 In these experiments, convection played a dominant role over diffusion, significantly influencing mass transfer dynamics.100,388 Ho et al.84 studied CO2 dissolution across varying pressure and temperature conditions for gaseous, liquid, and supercritical CO2.84,99 Gaseous CO2 showed greater bubble size reduction due to its higher solubility, while supercritical CO2 achieved the highest kLa, due to elevated temperatures enhancing molecular diffusion.84,99 Yang and Tsai100 investigated the effects of flow rate and brine salinity on supercritical CO2 mass transfer in a microchannel.100 Their findings revealed that the flow rate had a more pronounced impact on kLa compared to salinity.100 A mass transfer rate correlation derived from microfluidic segmented flow experiments could provide valuable predictions of kLa under specific pressure, temperature, flow rate, and salinity.
4.2.4 Dissolution kinetics in porous media. Using microfluidic porous media, CO2 dissolution kinetics in water have been investigated.381,382,394 In Fig. 15D, Chang et al.381 employed a fluorescent dye as a pH indicator to observe the transient dissolution of supercritical CO2 in water over time.381,382 By analyzing the pH change in water clusters, they concluded that the CO2 dissolution rate primarily depends on the surface-to-volume ratio of the residual water clusters available for dissolution.382 Additionally, the water flow path and its velocity within the CO2 cluster significantly influenced the mass transfer rate in microfluidic porous media.381

In summary, microfluidic platforms have proven to be effective tools for measuring key parameters of CO2 solubility trapping, such as the solubility and diffusivity of CO2 in brine under various pressure, temperature, and salinity conditions. Their high surface-to-volume ratio enables precise characterization of dissolution kinetics, providing valuable insights into mass transfer dynamics in subsurface porous media. Future research could explore the combined effects of CO2 dissolution and salt precipitation, which are important for understanding and optimizing storage efficiency in CCS applications.

4.3 Salt precipitation

One major technical challenge during CCS operations is salt precipitation and clogging. Injection of dry CO2 into saline aquifers causes brine evaporation, leading to excessive salt deposition, which reduces porosity, permeability, injectivity, and storage efficiency.404 Recent microfluidic studies have provided direct visualization of salt precipitation processes in saline aquifers, shedding light on permeability loss and injectivity changes.24,116,405,406 This pore-scale visualization has revealed salt morphology and precipitation dynamics, offering insights into mitigation strategies.
4.3.1 Salt morphology. Using microfluidic devices, Kim et al.405 conducted one of the first pore-scale visualizations of salt precipitation during CO2 injection. They identified two distinct types of salt precipitation: as illustrated in Fig. 16A-top, large, semi-transparent cubic crystals formed within the brine phase away from the CO2–brine interface, while smaller, darker polycrystalline aggregates formed along the interface.405 In a separate experiment using a randomly connected glass microchannel network, Kim et al.404 reported a final salt coverage of 18%. Scanning electron microscopy (SEM) images (Fig. 16A-bottom) revealed salt crystals spanning the entire width of a 70 μm channel and polycrystalline aggregates ranging from 1 to 10 μm.405
image file: d5lc00428d-f16.tif
Fig. 16 Microfluidic investigations of salt precipitation during CCS in saline aquifers: (A) salt precipitation in microchannels with isolated brine-filled pores, showing two distinct types: polycrystalline aggregates and large bulk crystals (adapted with permission from Kim et al.405 Copyright © 2013 the Royal Society of Chemistry). (B) Microfluidic experiment illustrating temporal evolution of salt precipitation, including the initial stage, rapid growth stage and final stage, with corresponding residual brine and salt nucleation volumes plotted below (adapted with permission from Ho and Tsai.116 Copyright © 2020 the Royal Society of Chemistry). (C) Salt precipitation patterns in hydrophilic (top) and hydrophobic (bottom) micromodels at various flow rates, showing residual brine as liquid films in hydrophilic micromodels and as isolated droplets in hydrophobic micromodels (adapted with permission from He et al.407 Copyright © 2019 American Chemical Society). (D) Comparison of salt precipitation in homogeneous (left) and heterogeneous (right) micromodels, highlighting the effect of pore structure and capillary pressure distribution (adapted from Yan et al.408 under CC-BY License). (E) Close-up view of salt crystal growth near the CO2–brine interface, illustrating crystal growth in the brine phase and water-wet regions (adapted with permission from Miri et al.406 Copyright © 2015 Elsevier). (F) Salt precipitation during gas (left) and supercritical CO2 (right) injection, observed in a micromodel fabricated from a real sandstone slice bonded with glass (adapted with permission from Nooraiepour et al.24 Copyright © 2018 American Chemical Society).
4.3.2 Temporal evolution of precipitation. Microfluidic studies have also been used to investigate the temporal evolution of salt precipitation.116 Ho and Tsai116 injected air into NaCl brine and identified three key stages, as shown in Fig. 16B:116 (I) an initial stage with predominant brine evaporation and minimal precipitation, (II) a rapid growth stage characterized by a high linear precipitation rate that contributed to 75% of total precipitation, and (III) a final stage with slower crystal growth due to insufficient brine to supply salt ions.116 Moreover, greater salt precipitation was observed near the outlet, attributed to the trapping of residual brine in that region, whereas brine near the inlet was displaced by the injected gas.116
4.3.3 Effect of surface wettability. Surface wettability significantly influences salt precipitation.407,409,410 Recent microfluidic experiments under high-pressure (10 MPa) and high-temperature (50 °C) conditions highlight the pronounced differences between salt precipitation patterns in hydrophilic and hydrophobic micromodels, as shown in Fig. 16C.407 Hydrophilic surfaces tend to promote more extensive salt formation in the form of polycrystalline clusters. Brine adhered strongly to the porous surface, forming residual pools, liquid bridges, and films that served as a continuous source of salt ions for precipitation.407 Capillary-induced brine reflow further reinforced localized salt aggregation.407,410 Increasing CO2 injection rates in hydrophilic systems reduced capillary reflow and precipitation. By contrast, hydrophobic surfaces (water contact angle = 119°) exhibited isolated brine droplets and slower precipitation rates, forming large crystals only in brine pools.407 Spatial variation in salt patterns was greater in hydrophobic systems, reflecting the probabilistic nature of crystallization.410
4.3.4 Effect of porous media heterogeneity. Porous media heterogeneity further affects salt precipitation by influencing capillary pressure distribution.408 Yan et al.408 compared homogeneous media with uniform pore sizes (90 μm) to heterogeneous media containing rock-shaped grains (Fig. 16D).408 Heterogeneous media retained more brine (45% vs. 28%) due to non-uniform capillary pressure, resulting in higher salt saturation (9.5%, 1.9 times that of homogeneous media).408
4.3.5 Self-enhancing salt growth. In a hydrophilic glass micromodel, Miri et al.406 visualized a salt precipitation mechanism referred to as self-enhancing growth.406 Due to the hydrophilic nature of salt, once nucleation occurs within the CO2 stream, a thin brine layer is attracted to the salt surface.406 This layer continuously evaporates, resulting in the formation of larger salt aggregates and accelerating both the rate and amount of precipitation.406 This process is illustrated in Fig. 16E, where the self-enhancing growth mechanism promotes localized salt accumulation at the CO2–brine interface.406
4.3.6 Effect of CO2 phase state. The phase state of CO2 (gas, liquid, or supercritical) also has a significant impact on salt precipitation.24 Nooraiepour et al.24 developed a novel microfluidic system using geomaterials—a shale sample from the Norwegian North Sea, a proposed CO2 storage site.24 Fracture patterns were laser-etched into the shale specimen, and CO2 was injected at varying pressures (1, 5, and 8 MPa) and temperatures (22, 40, and 60 °C) to compare salt precipitation under gaseous, liquid, and supercritical CO2 conditions.24 As shown in Fig. 16F, at a flow rate of 20 cm3 min−1, the average salt coverage was 11%, 3%, and 0.8% for gaseous, liquid, and supercritical CO2, respectively.24

This trend is attributed to the higher density of liquid and supercritical CO2, which displaces more residual brine from the pore spaces, thereby reducing the extent of salt precipitation. Additionally, water evaporation in CO2 decreases significantly as pressure increases from 1 to 8 MPa, further limiting salt formation under supercritical conditions.24 These combined factors explain the greater salt precipitation observed during gaseous CO2 injection compared to liquid or supercritical phases.24

Findings from microfluidic studies suggest strategies to mitigate salt precipitation, such as altering surface wettability to hydrophobic or increasing CO2 injection rates. While current microfluidic studies mostly use pure NaCl solutions, future research should explore synthetic brines containing mixed salts under high-pressure and high-temperature conditions. The development of advanced “reservoir-on-a-chip” systems could provide deeper insights into salt precipitation mechanisms under more realistic conditions. By incorporating clay minerals, calcite particles, or actual slices of reservoir rock, these systems could replicate authentic fluid–solid interactions that occur in geological formations.21–24 Real geosamples in microfluidic platforms would allow for the investigation of how salt precipitation is influenced by natural mineral heterogeneity, geochemical interactions, and wetting behavior, offering field-relevant data for optimizing CCS operations. Such innovations would significantly enhance our understanding of salt precipitation dynamics and guide the development of effective mitigation strategies.

5 Microfluidic studies on underground hydrogen storage

In response to climate change, the transition to clean energy sources has been accelerating. Hydrogen (H2), as a carbon-free energy carrier, stands out as a promising alternative to traditional fossil fuels. Underground hydrogen storage (UHS) involves storing hydrogen gas in geological formations, such as salt caverns, depleted oil and gas reservoirs, or aquifers, for later use.411–413 This method is critical for managing the supply and demand in hydrogen energy systems, enabling large-scale, cost-effective storage that supports renewable energy integration and enhances energy security. While salt caverns are known for their impermeability and structural stability, depleted reservoirs and aquifers offer greater capacities.411 Beyond storage efficiency and recovery factors at the macroscale (i.e., reservoir-scale) level, microscale fluid dynamics with these geological settings provides vital insights into pore-level visualization of fluid–fluid and fluid–solid interactions, providing a deeper understanding of the trapping mechanism and displacement efficiency.411,414–416 Given the varying dynamics of fluid movements, geochemical interactions, and microbial activity across different geological sites, comprehensive feasibility studies are essential for a successful UHS project.

5.1 Hysteresis effect and trapping mechanism

Unlike CO2 sequestration, hydrogen storage involves cyclical injection of hydrogen into a liquid-saturated system underground (drainage stage) and withdrawal of hydrogen from underground (imbibition stage) repeatedly.417 This cyclic operation introduces a hysteresis effect within the system, where hydrogen is trapped and the distribution of hydrogen gas clusters within the pore space (i.e. gas connectivity) is varied with each loading cycle, affecting the storage efficiency each time.415,417,418 Various trapping mechanisms, e.g., capillary trapping, dissolution trapping, roof snap-off,419 and hysteresis trapping, influence the extent to which hydrogen is retained in subsurface formations.415,417,420 Microfluidic devices are instrumental in visualizing the complex pore-scale phenomenon.2,178,414–418,421–424

Recent studies by Gao et al.418 and Bahrami et al.417 have found that hydrogen saturation increases with the number of cycles,417,418 and hydrogen storage capacity also increases with larger injection rates.414–416,421 The increase in the number of cycles also intensifies the phenomenon of water block, where liquid phases at the corners and dead-ends of large pores are difficult to displace, reducing the overall porosity utilization.418 The hydrogen-liquid phase permeability hysteresis in such a multi-cycle gas injection process lowers the H2 storage efficiency over time.

Using pore-scale mechanisms—preferential-to-uniform flow transformation, floating flow, and dead-end pore invasion—Song et al.421 demonstrated the effects of pore heterogeneity, injection flux, and oil/brine distribution on the efficiency and capacity of a hydrogen storage site.421 Their study suggested that brine-saturated initial conditions, coupled with high injection flux and median pore heterogeneity, provide optimal storage performance. Although a high capillary number (i.e., high injection rate) benefits storage capacity during the drainage stage, it compromises gas connectivity.415,417,423 Roof snap-off,419 driven by interfacial force, fragments large gas clusters into smaller ones.414,415,417,423,424 Disconnected gas clusters are often trapped during imbibition (when extracting hydrogen) and may be reconnected in subsequent cycles, but the likelihood depends on the pore cluster morphology.415,417,424 As shown in Fig. 17A, the large gas cluster (colored green) from the primary drainage cycle is separated into multiple small clusters (colored red, blue, brown, orange, etc.) after imbibition. Some of these disconnected gas clusters remain disconnected at the end of the secondary drainage cycle (pointed at by the red arrows), which result in the increase of the hydrogen–water interface and further promotion of hydrogen loss through dissolution into the liquid phase.411 Although the loss of hydrogen due to dissolution, and the mixture of hydrogen with other pre-existing gases in the reservoir can be reversible by gas separation,425,426 the separation process often is undesirable due to its energy/equipment requirement, introducing additional cost. Furthermore, the unchanged gas cluster in Fig. 17B suggests that preferential water flow bypassed some of the gas clusters,417 leading to permanent trapping for gas clusters. Water encapsulation, film flow, and bypassing during multi-cycle injections exacerbate permeability losses for hydrogen, reducing efficiency in hydrogen extraction.417,418


image file: d5lc00428d-f17.tif
Fig. 17 Connectivity of hydrogen gas in a multi-cycle process. Clusters of hydrogen gas are represented in different colors, while water and grain are kept in white. (A) Disconnection of hydrogen gas clusters due to roof snap-off419 during imbibition could remain disconnected upon the subsequent drainage cycle (pointed at by the red arrows). (B) Large cluster of hydrogen gas remains unchanged over different cycles, suggesting that a preferential flow path of water bypasses the gas clusters. This causes permanent trapping of hydrogen gas and reduction in recovery efficiency (adapted with permission from Bahrami et al.417 Copyright © 2024 Elsevier).

5.2 Wettability effect

Wettability significantly influences the displacement efficiency of hydrogen in porous media. Experimental results indicate that hydrogen–water systems are predominantly water-wet.414,417,423,427 van Rooijen et al.427 (2022) demonstrated that the hydrogen dynamic contact angles decrease with decreasing channel width in hydrogen–water–glass microfluidic systems.427 The strongly water-wet nature leads to water preferentially coating solid surfaces, influencing displacement fronts and gas mobility.417 Furthermore, contact angle measurement reveals that hydrogen saturation is highly sensitive to pressure changes; high pressure corresponds to higher hydrogen gas density and more hydrogen-wet conditions.

Aquifers with predominantly KCl (potassium chloride) promote water-wet nature—suggesting the role of ionic radius and strength—favoring better hydrogen storage due to optimal pore occupancy.424 While increasing salinity leads to increased hydrogen contact angle (i.e. less water-wet), the dissolution of hydrogen gas in higher salinity brine is reduced. The results by Medina et al.424 suggest three competing factors: diffusion capacity, average bubble size, and capillary pressure influencing the dissolution time.424 The in situ contact angle measurement utilizing microfluidic studies suggests that optimizing injection strategies and modifying wettability conditions could alter the trapping mechanism of hydrogen, which significantly influences the hydrogen storage efficiency.

5.3 Microbial activity

Microbial activity, or the biotic process, plays a crucial role in the efficiency of UHS, impacting hydrogen retention, storage stability, and recovery rates.411 A biofilm is a structured community of microorganisms that adheres to the rock surfaces and encases itself in a self-produced extracellular polymeric substance (EPS),428 providing protection from external stresses. The presence of microbial communities in subsurface environments can lead to hydrogen consumption, biofilm formation, and pore-space clogging, all of which can reduce the long-term viability of hydrogen storage.2,411,429,430 As shown in Fig. 18A and B, Liu et al.429 (2023) demonstrated that microbial activity alters surface wettability by increasing the average hydrogen contact angle in hydrogen–water–silicon microfluidic systems, shifting from a water-wet (41°) to a neutral-wet (96°) state. Compared to the water contact angle (28°) in a sterilized experiment, the wettability change can lead to disconnected hydrogen gas clusters.
image file: d5lc00428d-f18.tif
Fig. 18 Influence of microbial activity on wettability. (A) Average hydrogen contact angle (CA) changes over time between experiments with and without the presence of bacteria. (B) In situ CA measurement of hydrogen in the first two days. Bacteria induce average hydrogen CA to increase significantly, reducing the water wettability in the microfluidic chip (adapted from Liu et al.429 under CC-BY License. Copyright © 2023 Liu, Kovscek, Fernø and Dopffel).

The increased surface area of hydrogen clusters also results in a greater consumption rate of hydrogen gas by microbial metabolism. Both of these effects induce a significant reduction in recovery efficiency.429 The hydrogenotrophic sulfate reduction process:429 SO42− + 4H2 + H+ → HS + 4H2O, generates massive amounts of water, leading to the secondary loss of hydrogen gas by dissolution and reduced pore space for hydrogen gas.411

The presence of bacteria also introduces bio-induced clogging due to the formation of biofilms.431 Biofilm development at the pore-scale is influenced by the flow velocity and nutrient concentrations. While high nutrient concentrations promote microbial growth, they also weaken biofilm adhesion, making it prone to detachment under high shear flow conditions.431 Optimization of these key parameters can help to prevent biofilm accumulation, which directly impacts the storage efficiency of hydrogen gas. It is suggested that optimizing initial microbial population conditions could enhance hydrogen storage efficiency by minimizing clogging while maintaining long-term stability.430 In contrast to the consumption of hydrogen (e.g., methanogenesis, acetogenesis), the generation of hydrogen gas through the enzyme hydrogenase,432 is rarely explored in the literature. Investigating microbial reactions that favor the generation of hydrogen in subsurface environments using microfluidics could provide insights. In the absence of sunlight, dark fermentation could be a potential pathway for biohydrogen production.433 In this process, biogenic wastewater replaces water as the displacing fluid in the hydrogen system, where the wastewater also acts as a feedstock for the microorganisms and potentially could enhance hydrogen production. Given the diversity of microbial populations in nature,432 comprehensive studies of bacterial interactions at potential geological sites are essential, beyond focusing on single strains of bacteria.429

5.4 Hydrogen foam

The use of foam-assisted approach in EOR has been widely studied over the past decades (as discussed in section 3.4), however, the investigation of hydrogen foam in UHS remains underexplored in the literature. The implementation of hydrogen foam compared to pure hydrogen gas has been shown to improve the oil recovery rate by 17.95% and storage efficiency to 36.2% (ref. 434) at the end of the drainage cycle. Analysis using microfluidic chips shows that a mechanism of foam trapping is introduced, where trapped bubbles in pore throats and corners prevent hydrogen gas from exiting during the imbibition cycle,422 as shown in Fig. 19A–D. In addition, pore clogging induced by large-sized bubbles (marked as bubble #1 and #2 in Fig. 19A–D) was observed during the experiment. Deformation of these bubbles to pass through constricted pores causes a reduction in mobility and resistance of the flowing bubbles. Though, this foam-assisted approach—combined with amphiphilic surfactants like SDS—has shown potential in enhancing storage efficiency by catalyzing hydrogen adsorption via the hydrophobic side chain of SDS,422 as shown by the interfacial tension (IFT) and viscoelastic modulus of hydrogen under various concentrations of SDS in Fig. 19E.
image file: d5lc00428d-f19.tif
Fig. 19 Investigation of hydrogen foam. (A)–(D) Sequential images showing hydrogen foam dynamics at times ranging from 5.5 s to 6.4 s, capturing trapped hydrogen bubbles. Large bubbles (marked #1, #2) are obstructed in narrow pores, increasing flow resistance. (E) Graph of interfacial tension (IFT, blue image file: d5lc00428d-u1.tif) and viscoelastic modulus (red image file: d5lc00428d-u2.tif) for H2 and SDS solution at varying concentrations (adapted with permission from Lu et al.422 Copyright © 2024 Elsevier).

Furthermore, the use of hydrogen foam can act as a barrier to prevent microbial-induced hydrogen losses (discussed in section 5.3) by limiting the interaction between hydrogen and aqueous phases. The encapsulation of hydrogen gas in foam serves as a great potential solution for unideal storage sites, particularly in depleted oil reservoirs, where many aspects concerning geological, chemical, and biological reactions are present.410,411 Besides, the diffusion of hydrogen gas due to its small molecular size and high diffusivity, compared to other gases such as CO2, poses a major challenge. By acting as an additional sealing layer, hydrogen foam can also help to suppress the diffusion loss of hydrogen gas through caprock, wellbore seals, etc.

6 Conclusions and perspectives

Microfluidics has proven to be invaluable in addressing greenhouse gas emissions and advancing energy storage solutions by exploring subsurface flows in applications, such as CO2-enhanced oil recovery (CO2-EOR), carbon capture and storage (CCS), and underground hydrogen storage (UHS). This review discusses advancements in lab-on-a-chip (LOC) technologies and insights gained into relevant key subsurface-flow processes, including fluid–fluid displacement, interfacial phenomena, surface wettability effects, porous media heterogeneity, and microbial activity. Despite significant progress, considerable opportunities for further research and innovation remain.

6.1 Challenges and opportunities in LOC fabrication and visualization

Soft lithography has facilitated the fabrication of microfluidic chips for EOR studies. However, limitations such as PDMS deformation under high pressure and inadequate bonding strength47,72,73 restrict its use to low-pressure experiments, which may not accurately capture fluid miscibility and phase behavior at higher pressures. Moreover, PDMS can swell upon contact with hydrocarbons, potentially altering the microfluidic structures and compromising experimental accuracy. To overcome these limitations, alternative materials with higher Young's modulus, such as polyethylene terephthalate (PET) or polyimide (PI), offer greater durability and are promising alternatives for PDMS-based microfluidics.48,435,436

For high-pressure, high-temperature (HPHT) applications, current lab-on-a-chip (LOC) models often employ silicon and glass microfabrication for enhanced pressure resistance. However, these materials are limited in scalability, cost-efficiency, and design flexibility. Promising alternatives include 3D printing with high-strength, HPHT-compatible materials,437–440 e.g., two-photon polymerization (TPP) and microstereolithography (SLA) being particularly promising for their high resolution. 3D-printed HPHT LOCs can eliminate the need for cleanroom microfabrication, enabling rapid prototyping and greater design versatility. In addition, hybrid fabrication techniques that combine laser cutting (for rapid material removal) with micromachining can optimize speed, precision, and scalability.441 Leveraging these innovations could make HPHT LOC systems more robust, versatile, and commercially viable for broader scientific and industrial use.

In microfluidic investigations of subsurface flow processes, significant limitations remain in accurately replicating the structural and geochemical heterogeneity of natural rock formations. One fundamental limitation is the mismatch between materials commonly used in LOC systems—such as PDMS, glass, or silicon—and reservoir rocks. These materials lack the native mineral composition and reactive properties necessary to capture key geochemical interactions, such as mineral dissolution, precipitation, and wettability changes in CO2 and hydrogen storage applications. A promising approach is the integration of thin-sectioned natural rock samples within microfluidic devices,24 allowing for more representative mineral–fluid interactions. Additionally, functionalized surfaces engineered to mimic specific mineral compositions, such as kaolinite21 and carbonate minerals,276,374 offer a synthetic alternative for studying wettability and reactive processes.

Another major challenge is the reproduction of structural heterogeneity in microfluidic devices. Reservoirs exhibit intricate pore networks with variations in connectivity, tortuosity, and permeability,442 which are often oversimplified in LOC models due to microfabrication constraints. While these small-scale structural features play a crucial role in fluid transport, existing microfluidic systems struggle to accurately reproduce sub-micron pore structures that govern multiphase flow behavior in ultra-tight formations. Emerging high-resolution fabrication techniques, such as focused ion beam,443 two-photon polymerization 3D printing444 and metal-assisted chemical etching,445 can enable the creation of sub-micron features, significantly improving the representativeness of LOC models for tight reservoirs.

Furthermore, most current studies focus on 2D visualization for microfluidic applications, limiting the ability to fully capture 3D multiphase flow dynamics, wettability behavior, and pore-scale interactions in three-dimensional porous media. Future research can focus on improving the compatibility of real-time 3D optical imaging methods to achieve more realistic experimental conditions for subsurface flow investigations, allowing an extended view of interest. For instance, optical coherence tomography (OCT) could be integrated with microfluidics to provide depth-resolved cross-sectional images, enabling real-time visualization of fluid interfaces, phase distributions, and internal flow structures.446

Microfluidic studies of subsurface flow have produced diverse micromodel designs and provided detailed pore-scale visualizations. However, most research remains case-specific. Broader standardization in design, procedures, and data reporting is needed for reliable cross-laboratory benchmarking. Some efforts exist: ISO 22916 defines standard dimensions for microfluidic interconnection holes, improving device compatibility.447,448 Chips & Tips,449 hosted by Lab on a Chip, offers practical advice on chip fabrication and maintenance. However, these resources are fragmented, with few shared micromodel designs or standardized datasets for comparative studies.

A promising path forward lies in developing shared platforms for micromodel designs, imaging datasets, and experimental measurements. The Digital Porous Media Portal450 serves as a strong example of a community-driven initiative that supports data sharing and international contributions.451,452 Since its launch in 2015, the repository has hosted real rock microstructure datasets and experimental measurements from over a hundred projects, providing a valuable foundation for designing geologically realistic micromodels. Establishing a similar platform focused on microfluidic subsurface flow would greatly benefit the field by enabling meaningful cross-study comparisons and consistent validation.

Upscaling pore-scale microfluidic results to field-scale pilot tests and reservoir models remains a persistent challenge, primarily due to discrepancies in characteristic length and time scales, as well as differences in heterogeneity—particularly in porosity, permeability, and wettability—across a wide range of scales.453,454 Despite recent advancements, there is still limited understanding of how to systematically incorporate key parameters, especially pore geometry and wettability distributions, into large-scale models for reliable prediction of fluid flow behavior.11,359 The balance between viscous and capillary forces—typically expressed through the capillary number—along with associated flow dynamics and pressure gradients, can vary significantly from micro- to macro-scales.453,455,456 Consequently, multiple formulations of the capillary number (microscopic, macroscopic, and hybrid) have been developed, each tailored to specific scales. At the reservoir scale, capillary numbers typically range from 10−8 to 10−2,457–459 whereas in microfluidic systems they generally fall between 10−3 and 10−1.390

Several frameworks have been proposed to bridge pore- and reservoir-scale behaviors by incorporating essential physical attributes such as capillary forces, porosity–permeability relationships, and wettability variation. Classical models like the Leverett J-function460 address capillary pressure scaling, while empirical correlations such as the Kozeny–Carman equation461,462 relate porosity and permeability. Time scaling has been treated through transient pressure type-curve analysis,463 and spatial wettability heterogeneity has been explored in recent micromodel studies.464 These insights, combined with core-scale experiments and high-resolution imaging, inform reservoir-scale modeling approaches such as pore-network modeling,465 direct numerical simulation,466 and volume-averaging theory467 to simulate multiphase flow in geologically complex porous media.468–470

While these upscaling methods are continuously refined to simulate large-scale anisotropic, heterogeneous subsurface formations and rigorously predict multiphase processes,471 microfluidics—though powerful tools for visualizing pore-scale processes—introduces better simplifications than rock core samples. In addition to scale mismatches, microfluidic devices are generally quasi-2D with idealized pore networks and uniform wettability, and thus cannot capture the full 3D heterogeneity of reservoir rocks.11,141,361 Furthermore, glass or silicon substrates do not reproduce the mineralogy of sandstones, shales, or carbonates, and therefore often neglect geochemical interactions.138

Such multi-component chemical interactions—e.g., calcite (CaCO3) dissolution in brine (eqn (4)–(6)) and the precipitation of various minerals depending on the available cations (eqn (7) and (8))472,473—between the fluids and the solid rock surface can strongly alter wettability, permeability, and displacement mechanisms.140,474

 
CaCO3 + CO2 + H2O ⇌ Ca2+ + 2HCO3, (4)
 
CaCO3 + H+ ⇌ Ca2+ + HCO3, (5)
 
image file: d5lc00428d-t3.tif(6)
 
HCO3 + Ca2+ ⇌ CaCO3 + H+, (7)
 
HCO3 + Mg2+ ⇌ MgCO3 + H+, (8)
Although several “rock-on-chip” studies have incorporated geochemical reactions,138,141,142 further development of simpler and more reliable fabrication methods that integrate geologically relevant materials is still required for simulating coupled flow–transport–reaction processes.

Despite these challenges, continued advancements in microfluidic fabrication, material engineering, and real-time monitoring techniques hold promise for developing more representative LOC models. Bridging the gap between laboratory experiments and reservoir conditions will require interdisciplinary efforts across materials science, microfabrication, and geochemistry to refine these platforms for subsurface applications.

6.2 Future outlook for microfluidic investigations on CCUS and UHS

Beyond structural and geochemical replication, understanding multiphase flow behavior in CCUS and UHS is challenging. While miscibility is preferred for EOR, achieving the minimum miscibility pressure may not always be feasible due to reservoir pressure constraints. In such cases, immiscible CO2 injection remains a promising alternative, but its effectiveness is influenced by complex three-phase interactions (brine–oil–gas), wettability changes, and fluid displacement mechanisms, which vary with rock types, fluid compositions, and reservoir conditions. Further complexity arises in hybrid EOR methods, such as water-alternating-gas (WAG), foam, and polymer/surfactant flooding, which have demonstrated delayed CO2 breakthrough and improved sweep efficiency. However, the underlying mechanisms governing these improvements remain insufficiently understood. Future research should focus on the screening and optimizing injection strategies using microfluidic platforms, which offer efficient and cost-effective tools for studying synergistic effects in CO2-based EOR and CCUS applications.

Microfluidic studies on CO2 foam-EOR have demonstrated promising and reproducible results in enhancing sweep efficiency, reducing viscous fingering, and preventing gravity override, offering significant improvements over CO2 gas alone. However, optimizing CO2 foam for EOR faces several challenges, particularly in stabilizing foam in the presence of crude oil. Such optimization processes can be accelerated using microfluidic chips under reservoir-relevant conditions, including pressure, temperature, brine salinity, rock mineralogy, wettability, petrophysical properties, and oil composition.

Emerging interests include the use of green, eco-friendly surfactants,475 such as saponins, cellulose, and proteins, which have the potential to enhance foam stability while minimizing formation damage in EOR applications.476–478 Another unresolved topic concerning foam-EOR is the evolution of foam rheology as it propagates through heterogeneous porous media in the presence of oil. This process is influenced by foam generation (snap-off, lamellae division, leave-behind, and pinch-off) and decay (coarsening, rupture, and capillary/gravity drainage) rates that directly affect foam velocity and texture, both of which are critical parameters for determining foam viscosity.27,305,347,479

The storage of hydrogen in underground reservoirs to balance energy demand has shown significant potential in alleviating dependence on fossil fuels.411 The investigations in pore-scale level of UHS using microfluidics are relatively rare, compared to CCUS and EOR. Microfluidic experiments have highlighted many associated challenges, particularly in understanding fluid dynamics in subsurface environments.414–417 Both biological and geological effects411 and foam-assisted flow422 have shown great influence on the viability of the UHS system; however, many aspects of these topics remain unresolved and are important for future microfluidic research. Factors such as trapping mechanisms, gas connectivity, wettability, and the hysteresis effect of cyclic injection and withdrawal cycles unique to UHS influence the system capacity and efficiency, which also require further investigations.

The long-term stability of hydrogen in underground formations remains in question. Hydrogen loss can occur through many pathways, including dissolution into the liquid phase, microbial/mineral reactions due to its highly reactive nature, as well as leakage attributed to its small molecule size. Despite being rarely discussed in the literature, the encapsulation of hydrogen in foam has been shown to increase the storage efficiency422 and could serve as a protective/sealing barrier to minimize hydrogen loss during storage. This promising approach requires future exploration using microfluidics.

In core flooding experiments, microscopic sealing imperfections in the core holder often lead to the escape of hydrogen gas, introducing experimental artifacts that compromise the accuracy of diffusion measurements.480 Microfluidic chips with reliable bonding techniques can offer a more precise and controlled environment for studying hydrogen diffusion. Moreover, the study of bacteria using microfluidics can provide better insight into biological interactions with stored gas. In contrast to hydrogen consumption, exploring possible bacterial reactions that promote hydrogen generation, such as dark fermentation of wastewater, could be beneficial. Such experiments typically require extended periods (days) for bacterial growth in the microfluidic devices429 and are time-consuming. The integration of machine learning algorithms may be leveraged to shorten these processes. For instance, intelligent microfluidics,169 transfer learning from prototyped chips,164 chip geometry design,163 performance prediction/optimization,167,168 and temporal evolution forecasting by transformer neural networks can further enhance experimental efficiency and accuracy.

Author contributions

Junyi Yang: conceptualization; writing – original draft; visualization. Nikoo Moradpour: conceptualization; writing – original draft; visualization. Lap Au-Yeung: conceptualization; writing – original draft; visualization. Peichun Amy Tsai: conceptualization; writing – review & editing; visualization; supervision; funding acquisition.

Conflicts of interest

There are no conflicts to declare.

Data availability

No primary research results, software or code have been included and no new data were generated or analyzed as part of this review.

Acknowledgements

We gratefully acknowledge the support from the Canada First Research Excellence Fund (CFREF), Future Energy System (FES T02-P05 CCUS projects) at the University of Alberta, and Canada Foundation for Innovation (CFI 34546). P. A. T. holds a Canada Research Chair (CRC) in Fluids and Interfaces and gratefully acknowledges funding from the Natural Sciences and Engineering Research Council of Canada (NSERC) and Alberta Innovates (AI), in particular the NSERC Canada Research Chairs Program (CRC 233147) and Discovery Grant (RGPIN-2020-05511). J. Y. acknowledges the support of the Graduate Student Scholarship program from Alberta Innovates (AI) and from the Future Energy System Legacy Builders Program (FES-LBP). We thank Dr. Amin Alinejad for his constructive suggestions.

Notes and references

  1. NASA's Goddard Institute for Space Studies (GISS), Global Temperature GLOBAL LAND-OCEAN TEMPERATURE INDEX, https://climate.nasa.gov/vital-signs/global-temperature/?intent=121, Accessed: 2025-01-27.
  2. S. S. Datta, I. Battiato, M. A. Fernø, R. Juanes, S. Parsa, V. Prigiobbe, E. Santanach-Carreras, W. Song, S. L. Biswal and D. Sinton, Lab Chip, 2023, 23, 1358–1375 RSC.
  3. D. Y. Leung, G. Caramanna and M. M. Maroto-Valer, Renewable Sustainable Energy Rev., 2014, 39, 426–443 CrossRef.
  4. E. Adu, Y. Zhang and D. Liu, Can. J. Chem. Eng., 2019, 97, 1048–1076 CrossRef.
  5. M. Bui, C. S. Adjiman, A. Bardow, E. J. Anthony, A. Boston, S. Brown, P. S. Fennell, S. Fuss, A. Galindo, L. A. Hackett, J. P. Hallett, H. J. Herzog, G. Jackson, J. Kemper, S. Krevor, G. C. Maitland, M. Matuszewski, I. S. Metcalfe, C. Petit, G. Puxty, J. Reimer, D. M. Reiner, E. S. Rubin, S. A. Scott, N. Shah, B. Smit, J. P. Trusler, P. Webley, J. Wilcox and N. Mac Dowell, Energy Environ. Sci., 2018, 11, 1062–1176 RSC.
  6. I. Gomez Mendez, W. M. El-Sayed, A. H. Menefee and Z. T. Karpyn, Energy Fuels, 2024, 38, 20015–20032 CrossRef CAS.
  7. V. A. Lifton, Lab Chip, 2016, 16, 1777–1796 RSC.
  8. A. Anbari, H. T. Chien, S. S. Datta, W. Deng, D. A. Weitz and J. Fan, Small, 2018, 14, 1–15 CrossRef.
  9. D. Sinton, Lab Chip, 2014, 14, 3127–3134 RSC.
  10. B. Bao, J. Riordon, F. Mostowfi and D. Sinton, Lab Chip, 2017, 17, 2740–2759 RSC.
  11. S. Gogoi and S. B. Gogoi, J. Pet. Explor. Prod. Technol., 2019, 9, 2263–2277 CrossRef.
  12. A. Abedini, S. Ahitan, Z. Barikbin, V. Soni, J. Ratulowski and D. Sinton, Energy Fuels, 2022, 36, 8578–8590 CrossRef CAS.
  13. D. Qin, Y. Xia, J. A. Rogers, R. J. Jackman, X.-M. Zhao and G. M. Whitesides, Microsyst. Technol. Chem. Life Sci., Springer Verlag Berlin Heidelberg, 1998, pp. 1–20 Search PubMed.
  14. N. Convery and N. Gadegaard, Micro Nano Eng., 2019, 2, 76–91 CrossRef.
  15. A. Chatenever, J. Calhoun and C. John, JPT, J. Pet. Technol., 1952, 4, 149–156 CrossRef.
  16. R. Chuoke, P. van Meurs and C. van der Poel, Trans. AIME, 1959, 216, 188–194 CrossRef.
  17. J. Stokes, D. Weitz, J. P. Gollub, A. Dougherty, M. Robbins, P. Chaikin and H. Lindsay, Phys. Rev. Lett., 1986, 57, 1718 CrossRef PubMed.
  18. R. Lenormand, E. Touboul and C. Zarcone, J. Fluid Mech., 1988, 189, 165–187 CrossRef CAS.
  19. S. Marre, A. Adamo, S. Basak, C. Aymonier and K. F. Jensen, Ind. Eng. Chem. Res., 2010, 49, 11310–11320 CrossRef CAS.
  20. S. Marre and K. F. Jensen, Chem. Soc. Rev., 2010, 39, 1183–1202 RSC.
  21. W. Song and A. R. Kovscek, Lab Chip, 2015, 15, 3314–3325 RSC.
  22. Y. Q. Zhang, A. Sanati-Nezhad and S. H. Hejazi, Lab Chip, 2018, 18, 285–295 RSC.
  23. W. Wang, S. Chang and A. Gizzatov, ACS Appl. Mater. Interfaces, 2017, 9, 29380–29386 CrossRef CAS.
  24. M. Nooraiepour, H. Fazeli, R. Miri and H. Hellevang, Environ. Sci. Technol., 2018, 52, 6050–6060 CrossRef CAS.
  25. J. Zhong, A. Abedini, L. Xu, Y. Xu, Z. Qi, F. Mostowfi and D. Sinton, Nanoscale, 2018, 10, 21994–22002 RSC.
  26. Y. Zhong, Q. Li, W. Gao, Y. Wen and Y. Zhang, J. Rock Mech. Geotech. Eng., 2025 DOI:10.1016/j.jrmge.2025.01.018 , in press.
  27. N. Moradpour, J. Yang and P. A. Tsai, Curr. Opin. Colloid Interface Sci., 2024, 101845 CrossRef CAS.
  28. A. Kazan, Microfluid. Nanofluid., 2022, 26, 1–16 CrossRef.
  29. J. Yang and P. A. Tsai, Biomicrofluidics, 2024, 18, 051301 CrossRef CAS PubMed.
  30. G. M. Whitesides, Nature, 2006, 442, 368–373 CrossRef CAS PubMed.
  31. E. K. Sackmann, A. L. Fulton and D. J. Beebe, Nature, 2014, 507, 181–189 CrossRef CAS.
  32. S. Neethirajan, I. Kobayashi, M. Nakajima, D. Wu, S. Nandagopal and F. Lin, Lab Chip, 2011, 11, 1574–1586 RSC.
  33. K.-i. Ohno, K. Tachikawa and A. Manz, J. Electrophor., 2008, 29, 4443–4453 CrossRef CAS.
  34. V. A. Lifton, Lab Chip, 2016, 16, 1777–1796 RSC.
  35. S. Battat, D. A. Weitz and G. M. Whitesides, Lab Chip, 2022, 22, 530–536 RSC.
  36. J. Liu, Y. Zhang, M. Wei, X. He and B. Bai, Energy Fuels, 2022, 36, 9904–9931 CrossRef CAS.
  37. P. N. Nge, C. I. Rogers and A. T. Woolley, Chem. Rev., 2013, 113, 2550–2583 CrossRef CAS.
  38. S. C. Terry, J. H. Herman and J. B. Angell, IEEE Trans. Electron Devices, 1979, 26, 1880–1886 Search PubMed.
  39. A. de Mello, Lab Chip, 2002, 2, 48N–54N Search PubMed.
  40. E. Kim, Y. Xia and G. M. Whitesides, Nature, 1995, 376, 581–584 Search PubMed.
  41. C. Marzolin, A. Terfort, J. Tien and G. M. Whitesides, Thin Solid Films, 1998, 315, 9–12 Search PubMed.
  42. D. C. Duffy, J. C. McDonald, O. J. Schueller and G. M. Whitesides, Anal. Chem., 1998, 70, 4974–4984 CrossRef PubMed.
  43. T. Trantidou, Y. Elani, E. Parsons and O. Ces, Microsyst. Nanoeng., 2017, 3, 1–9 Search PubMed.
  44. P. Occhetta, A. Mainardi, E. Votta, Q. Vallmajo-Martin, M. Ehrbar, I. Martin, A. Barbero and M. Rasponi, Nat. Biomed. Eng., 2019, 3, 545–557 CrossRef PubMed.
  45. J. P. Esquivel, M. Castellarnau, T. Senn, B. Löchel, J. Samitier and N. Sabaté, Lab Chip, 2012, 12, 74–79 RSC.
  46. R. Singh, M. Sivaguru, G. A. Fried, B. W. Fouke, R. A. Sanford, M. Carrera and C. J. Werth, J. Contam. Hydrol., 2017, 204, 28–39 CrossRef PubMed.
  47. P. Tabeling, Introduction to microfluidics, Oxford university press, 2023 Search PubMed.
  48. A. Waldbaur, H. Rapp, K. Länge and B. E. Rapp, Anal. Methods, 2011, 3, 2681–2716 RSC.
  49. J. Castillo-León and W. E. Svendsen, Lab-on-a-Chip devices and micro-total analysis systems: a practical guide, Springer, 2014 Search PubMed.
  50. J. C. McDonald, D. C. Duffy, J. R. Anderson, D. T. Chiu, H. Wu, O. J. Schueller and G. M. Whitesides, J. Electrophor., 2000, 21, 27–40 CrossRef.
  51. N. Convery and N. Gadegaard, Micro Nano Eng., 2019, 2, 76–91 CrossRef.
  52. E. Berthier, E. W. Young and D. Beebe, Lab Chip, 2012, 12, 1224–1237 RSC.
  53. P. Kim, K. W. Kwon, M. C. Park, S. H. Lee, S. M. Kim and K. Y. Suh, BioChip, 2008, 2, 1–11 Search PubMed.
  54. S. S. Deshmukh and A. Goswami, Mater. Today, 2020, 26, 405–414 Search PubMed.
  55. P. Mohanan, Human Organs-on-a-Chip Technology, Elsevier, 2024 Search PubMed.
  56. S. M. Scott and Z. Ali, Micromachines, 2021, 12, 319 Search PubMed.
  57. Y. Xia and G. M. Whitesides, Angew. Chem., Int. Ed., 1998, 37, 550–575 Search PubMed.
  58. M. Wang, Lithography, BoD–Books on Demand, 2010 Search PubMed.
  59. C. A. Conn, K. Ma, G. J. Hirasaki and S. L. Biswal, Lab Chip, 2014, 14, 3968–3977 RSC.
  60. D. Qin, Y. Xia, A. J. Black and G. M. Whitesides, J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.–Process., Meas., Phenom., 1998, 16, 98–103 CrossRef.
  61. S. N. Khonina, N. L. Kazanskiy and M. A. Butt, Micromachines, 2024, 15, 1321 CrossRef PubMed.
  62. K. Zhong, Y. Gao, F. Li, Z. Zhang and N. Luo, Optik, 2014, 125, 2413–2416 CrossRef.
  63. R. M. Guijt and M. C. Breadmore, Lab Chip, 2008, 8, 1402–1404 RSC.
  64. M. Villegas, Z. Cetinic, A. Shakeri and T. F. Didar, Anal. Chim. Acta, 2018, 1000, 248–255 CrossRef PubMed.
  65. G. C. Lisensky, D. J. Campbell, K. J. Beckman, C. E. Calderon, P. W. Doolan, R. M. Ottosen and A. B. Ellis, J. Chem. Educ., 1999, 76, 537 CrossRef.
  66. P. R. Selvaganapathy, Comprehensive Microsystems, Elsevier, Oxford, 2008, pp. 75–105 Search PubMed.
  67. T. Bardelli, C. Marano and F. Briatico Vangosa, J. Appl. Polym. Sci., 2021, 138, 51013 CrossRef.
  68. P. Seeharaj, P. Pasupong, E. Detsri and P. Damrongsak, J. Mater. Sci., 2018, 53, 4828–4839 CrossRef.
  69. L. Li, B. Li, J. Dong and J. Zhang, J. Mater. Chem. A, 2016, 4, 13677–13725 RSC.
  70. J. C. McDonald and G. M. Whitesides, Acc. Chem. Res., 2002, 35, 491–499 CrossRef.
  71. K. Raj M and S. Chakraborty, J. Appl. Polym. Sci., 2020, 137, 48958 CrossRef.
  72. S. Bhattacharya, A. Datta, J. M. Berg and S. Gangopadhyay, J. Microelectromech. Syst., 2005, 14, 590–597 Search PubMed.
  73. E. Rubino and T. Ioppolo, J. Polym. Sci., Part B: Polym. Phys., 2016, 54, 747–751 CrossRef.
  74. J. Zhou, A. V. Ellis and N. H. Voelcker, J. Electrophor., 2010, 31, 2–16 CrossRef.
  75. J. Zhou, D. A. Khodakov, A. V. Ellis and N. H. Voelcker, J. Electrophor., 2012, 33, 89–104 CrossRef PubMed.
  76. N. Verma, P. Prajapati, V. Singh and A. Pandya, Prog. Mol. Biol. Transl. Sci., 2022, 186, 1–14 Search PubMed.
  77. C. Rivet, H. Lee, A. Hirsch, S. Hamilton and H. Lu, Chem. Eng. Sci., 2011, 66, 1490–1507 CrossRef.
  78. P. K. Rai, M. Islam and A. Gupta, Sens. Actuators, A, 2022, 347, 113926 CrossRef.
  79. E. Kjeang, N. Djilali and D. Sinton, J. Power Sources, 2009, 186, 353–369 CrossRef CAS.
  80. K. Ma, R. Liontas, C. A. Conn, G. J. Hirasaki and S. L. Biswal, Soft Matter, 2012, 8, 10669–10675 RSC.
  81. S. Xiao, Y. Zeng, E. D. Vavra, P. He, M. Puerto, G. J. Hirasaki and S. L. Biswal, Langmuir, 2018, 34, 739–749 CrossRef CAS PubMed.
  82. X. Pan, L. Sun, X. Huo, C. Feng and Z. Zhang, Energies, 2023, 16, 7846 CrossRef CAS.
  83. A. Sell, H. Fadaei, M. Kim and D. Sinton, Environ. Sci. Technol., 2013, 47, 71–78 CrossRef CAS.
  84. T. H. M. Ho, J. Yang and P. A. Tsai, Lab Chip, 2021, 21, 3942–3951 RSC.
  85. Micronit, Enhanced Oil Recovery (EOR) chip - Physical Rock network, https://micronit.com/eor-chip-uncoated-physical-rock.html, Accessed: 2025-02-19.
  86. uFluidix, Device Materials, https://www.ufluidix.com/device-materials/, Accessed: 2025-02-19.
  87. C. Rein, M. Toner and D. Sevenler, Sci. Rep., 2023, 13, 1–9 CrossRef.
  88. K. Michael, A. Golab, V. Shulakova, J. Ennis-King, G. Allinson, S. Sharma and T. Aiken, Int. J. Greenhouse Gas Control, 2010, 4, 659–667 CrossRef CAS.
  89. S. Bachu, Int. J. Greenhouse Gas Control, 2016, 44, 152–165 CrossRef CAS.
  90. J. Kobayashi, Y. Mori and S. Kobayashi, Chem. Commun., 2005, 2567–2568 RSC.
  91. F. Benito-Lopez, R. M. Tiggelaar, K. Salbut, J. Huskens, R. J. Egberink, D. N. Reinhoudt, H. J. Gardeniers and W. Verboom, Lab Chip, 2007, 7, 1345–1351 RSC.
  92. R. M. Tiggelaar, F. Benito-López, D. C. Hermes, H. Rathgen, R. J. Egberink, F. G. Mugele, D. N. Reinhoudt, A. van den Berg, W. Verboom and H. J. Gardeniers, Chem. Eng. J., 2007, 131, 163–170 CrossRef CAS.
  93. N. M. P. da Silva, J. J. Letourneau, F. Espitalier and L. Prat, Chem. Eng. Technol., 2014, 37, 1929–1937 CrossRef.
  94. T. Gothsch, C. Schilcher, C. Richter, S. Beinert, A. Dietzel, S. Büttgenbach and A. Kwade, Microfluid. Nanofluid., 2015, 18, 121–130 CrossRef CAS.
  95. A. Martin, S. Teychené, S. Camy and J. Aubin, Microfluid. Nanofluid., 2016, 20, 1–8 CrossRef CAS.
  96. N. Qin, J. Z. Wen and C. L. Ren, Phys. Rev. E, 2017, 95, 1–15 Search PubMed.
  97. R. F. Gerhardt, A. J. Peretzki, S. K. Piendl and D. Belder, Anal. Chem., 2017, 89, 13030–13037 CrossRef CAS PubMed.
  98. Z. B. Qi, L. Xu, Y. Xu, J. Zhong, A. Abedini, X. Cheng and D. Sinton, Lab Chip, 2018, 18, 3872–3880 RSC.
  99. T. H. M. Ho, D. Sameoto and P. A. Tsai, Chem. Eng. Res. Des., 2021, 174, 116–126 CrossRef CAS.
  100. J. Yang and P. A. Tsai, Chem. Eng. Sci., 2024, 300, 120543 CrossRef CAS.
  101. C. Matellan and A. E. Del Río Hernández, Sci. Rep., 2018, 8, 1–13 CAS.
  102. E. Sollier, C. Murray, P. Maoddi and D. Di Carlo, Lab Chip, 2011, 11, 3752–3765 RSC.
  103. K. T. L. Trinh, D. A. Thai, W. R. Chae and N. Y. Lee, ACS Omega, 2020, 5, 17396–17404 CrossRef CAS PubMed.
  104. R. Beaudry, Deep Reactive Ion Etching, US Pat., 2009/0242512 A1, 2009 Search PubMed.
  105. D. I. Fomerantz, Anodic Bonding, US Pat., 3397278, 1968 Search PubMed.
  106. G. Wallis and D. I. Fomerantz, J. Appl. Phys., 1969, 40, 3946–3949 CrossRef CAS.
  107. K. M. Knowles and A. T. Van Helvoort, Int. Mater. Rev., 2006, 51, 273–311 CrossRef CAS.
  108. G. A. Spierings, J. Mater. Sci., 1993, 28, 6261–6273 CrossRef CAS.
  109. J. A. Dziuban, Bonding in Microsystem Technology, Springer Dordrecht, 2006 Search PubMed.
  110. A. Mathur, S. S. Roy, M. Tweedie, S. Mukhopadhyay, S. K. Mitra and J. A. McLaughlin, Curr. Appl. Phys., 2009, 9, 1199–1202 CrossRef.
  111. J. Peden and M. Husain, SPE Annual Technical Conference and Exhibition?, 1985, p. SPE-14307.
  112. M. McKellar and N. Wardlaw, J. Can. Pet. Technol., 1982, 21, 39–41 Search PubMed.
  113. S.-W. Jeong, M. Y. Corapcioglu and S. E. Roosevelt, Environ. Sci. Technol., 2000, 34, 3456–3461 CrossRef.
  114. N. C. Wardlaw and L. Yu, Transp. Porous Media, 1988, 3, 17–34 CrossRef CAS.
  115. T. W. Willingham, C. J. Werth and A. J. Valocchi, Environ. Sci. Technol., 2008, 42, 3185–3193 CrossRef CAS PubMed.
  116. T. H. M. Ho and P. A. Tsai, Lab Chip, 2020, 20, 3806–3814 RSC.
  117. X. Zheng, N. Mahabadi, T. S. Yun and J. Jang, J. Geophys. Res.: Solid Earth, 2017, 122, 1634–1647 CrossRef.
  118. X. Pan, L. Sun, Q. Liu, X. Huo, F. Chen, Y. Wang, C. Feng, Z. Zhang and S. Ni, Nanoscale, 2025, 17, 1524–1535 Search PubMed.
  119. B. Géraud, S. A. Jones, I. Cantat, B. Dollet and Y. Méheust, Water Resour. Res., 2016, 52, 773–790 Search PubMed.
  120. Y. Zhou, C. Yao, J. Zhu, H. Xu, Y. Song and J. Zhao, Geoenergy Sci. Eng., 2025, 214118 CrossRef.
  121. N. Moradpour and P. A. Tsai, Lab Chip, 2025, 25(22), 5976–5992 RSC.
  122. Q.-A. Da, C.-J. Yao, X. Zhang, X.-P. Wang, X.-H. Qu and G.-L. Lei, Pet. Sci., 2022, 19, 1745–1756 CrossRef.
  123. Q. Lv, R. Zheng, T. Zhou, X. Guo, W. Wang, J. Li and Z. Liu, Fuel, 2022, 330, 125533 CrossRef.
  124. K. Xu, T. Liang, P. Zhu, P. Qi, J. Lu, C. Huh and M. Balhoff, Lab Chip, 2017, 17, 640–646 RSC.
  125. G.-y. Li, L.-t. Zhan, Y.-m. Chen, S. Feng, Z.-h. Zhang and X.-l. Du, Can. Geotech. J., 2022, 60, 902–916 CrossRef.
  126. D. S. Park, S. Bou-Mikael, S. King, K. E. Thompson, C. S. Willson and D. E. Nikitopoulos, ASME International Mechanical Engineering Congress and Exposition, 2012, pp. 709–715.
  127. W. Yun, C. M. Ross, S. Roman and A. R. Kovscek, Lab Chip, 2017, 17, 1462–1474 RSC.
  128. C. L. Gaol, J. Wegner and L. Ganzer, Lab Chip, 2020, 20, 2197–2208 RSC.
  129. A. Gerami, P. Mostaghimi, R. T. Armstrong, A. Zamani and M. E. Warkiani, Int. J. Coal Geol., 2016, 159, 183–193 CrossRef.
  130. L. Zuo, C. Zhang, R. W. Falta and S. M. Benson, Adv. Water Resour., 2013, 53, 188–197 Search PubMed.
  131. W. Wang, Y. Peng, Z. Chen, H. Liu, J. Fan and Y. Liu, Energy Fuels, 2022, 36, 7402–7413 Search PubMed.
  132. S. Heidari, M. Ahmadi, F. Esmaeilzadeh and D. Mowla, J. Pet. Explor. Prod. Technol., 2019, 9, 2309–2317 Search PubMed.
  133. M. M. Almajid and A. R. Kovscek, Adv. Colloid Interface Sci., 2016, 233, 65–82 Search PubMed.
  134. M. L. Porter, J. Jiménez-Martínez, R. Martinez, Q. McCulloch, J. W. Carey and H. S. Viswanathan, Lab Chip, 2015, 15, 4044–4053 RSC.
  135. P. A. Godoy, A. Orujov, A. P. Gramatges and S. A. Aryana, Lab Chip, 2025, 25, 3109–3122 RSC.
  136. N. S. K. Gunda, B. Bera, N. K. Karadimitriou, S. K. Mitra and S. M. Hassanizadeh, Lab Chip, 2011, 11, 3785–3792 RSC.
  137. W. Lei, T. Liu, C. Xie, H. Yang, T. Wu and M. Wang, Energy Sci. Eng., 2020, 8, 986–998 CrossRef.
  138. W. Song, T. W. de Haas, H. Fadaei and D. Sinton, Lab Chip, 2014, 14, 4382–4390 RSC.
  139. A. Gerami, R. T. Armstrong, B. Johnston, M. E. Warkiani, N. Mosavat and P. Mostaghimi, Energy Fuels, 2017, 31, 10393–10403 CrossRef.
  140. B. Yuan and D. A. Wood, J. Pet. Sci. Eng., 2018, 167, 287–299 CrossRef.
  141. A. Jahanbakhsh, K. L. Wlodarczyk, D. P. Hand, R. R. Maier and M. M. Maroto-Valer, Sensors, 2020, 20, 1–63 CrossRef.
  142. Y. A. Alzahid, P. Mostaghimi, A. Gerami, A. Singh, K. Privat, T. Amirian and R. T. Armstrong, Sci. Rep., 2018, 8, 15518 CrossRef.
  143. A. Anbari, H.-T. Chien, S. S. Datta, W. Deng, D. A. Weitz and J. Fan, Small, 2018, 14, 1703575 CrossRef.
  144. F. Rezaeiakmal and R. Parsaei, J. Pet. Sci. Eng., 2021, 203, 108583 CrossRef.
  145. J. Upadhyay, D. S. Park, K. E. Thompson and D. E. Nikitopoulos, ASME International Mechanical Engineering Congress and Exposition, 2015, p. V07BT09A004.
  146. A. T. Krummel, S. S. Datta, S. Münster and D. A. Weitz, AIChE J., 2013, 59, 1022–1029 CrossRef.
  147. S. S. Datta, J.-B. Dupin and D. A. Weitz, Phys. Fluids, 2014, 26, 062004 CrossRef.
  148. Y. Zhang, J. Geng, J. Liu, B. Bai, X. He, M. Wei and W. Deng, Langmuir, 2021, 37, 13353–13364 CrossRef PubMed.
  149. L. Kong, S. Ishutov, F. Hasiuk and C. Xu, SPE Reservoir Eval. Eng., 2021, 24, 721–732 CrossRef.
  150. D. Lee, M. Ruf, N. Karadimitriou, H. Steeb, M. Manousidaki, E. A. Varouchakis, S. Tzortzakis and A. Yiotis, Sci. Rep., 2024, 14, 9375 CrossRef PubMed.
  151. S. S. Datta, H. Chiang, T. S. Ramakrishnan and D. A. Weitz, Phys. Rev. Lett., 2013, 111, 1–5 CrossRef.
  152. J. Jansen, F. Melchels, D. Grijpma and J. Feijen, Biomacromolecules, 2009, 10, 214–220 CrossRef PubMed.
  153. A. Scanziani, K. Singh, H. Menke, B. Bijeljic and M. J. Blunt, Appl. Energy, 2020, 259, 114136 CrossRef.
  154. Y. Zhao, Y. Song, Y. Liu, L. Jiang and N. Zhu, Pet. Sci., 2011, 13, 183–193 CrossRef.
  155. P. Nguyen, H. Fadaei and D. Sinton, Energy Fuels, 2014, 28, 6221–6227 Search PubMed.
  156. D. Wildenschild and A. P. Sheppard, Adv. Water Resour., 2013, 51, 217–246 Search PubMed.
  157. M. Andrew, H. Menke, M. J. Blunt and B. Bijeljic, Transp. Porous Media, 2015, 110, 1–24 Search PubMed.
  158. X. Deng, X. Zhou, S. Patil, R. Al-Abdrabalnabi, S. Khan, M. S. Aljawad, M. Mahmoud, M. Abdurrahman and M. S. Kamal, Energy Fuels, 2023, 37, 16311–16332 Search PubMed.
  159. A. L. Herring, L. Andersson, D. L. Newell, J. W. Carey and D. Wildenschild, Int. J. Greenhouse Gas Control, 2014, 25, 93–101 CrossRef.
  160. M. Voltolini, T. H. Kwon and J. Ajo-Franklin, Int. J. Greenhouse Gas Control, 2017, 66, 230–245 CrossRef.
  161. Y. Tang, C. Hou, Y. He, Y. Wang, Y. Chen and Z. Rui, Energy Technol., 2021, 9, 1–21 Search PubMed.
  162. P. Zhou, H. He, H. Ma, S. Wang and S. Hu, Micromachines, 2022, 13, 274 Search PubMed.
  163. M. Delpisheh, B. Ebrahimpour, A. Fattahi, M. Siavashi, H. Mir, H. Mashhadimoslem, M. A. Abdol, M. Ghorbani, J. Shokri and D. Niblett, et al., J. Mater. Chem. A, 2024, 12, 20717–20782 Search PubMed.
  164. D. McIntyre, A. Lashkaripour, P. Fordyce and D. Densmore, Lab Chip, 2022, 22, 2925–2937 RSC.
  165. J. Zheng, T. Cole, Y. Zhang, J. Kim and S.-Y. Tang, Biosens. Bioelectron., 2021, 194, 113666 CrossRef PubMed.
  166. S. Srikanth, S. K. Dubey, A. Javed and S. Goel, Sens. Actuators, A, 2021, 332, 113096 Search PubMed.
  167. G. Antonelli, J. Filippi, M. D'Orazio, G. Curci, P. Casti, A. Mencattini and E. Martinelli, Biosens. Bioelectron., 2024, 116632 CrossRef.
  168. F. Ahmadi, M. Simchi, J. M. Perry, S. Frenette, H. Benali, J.-P. Soucy, G. Massarweh and S. C. Shih, Lab Chip, 2023, 23, 81–91 RSC.
  169. E. A. Galan, H. Zhao, X. Wang, Q. Dai, W. T. Huck and S. Ma, Matter, 2020, 3, 1893–1922 CrossRef.
  170. A. Lashkaripour, C. Rodriguez, N. Mehdipour, R. Mardian, D. McIntyre, L. Ortiz, J. Campbell and D. Densmore, Nat. Commun., 2021, 12, 25 CrossRef PubMed.
  171. H. Song, C. Liu, J. Lao, J. Wang, S. Du and M. Yu, Geofluids, 2021, 2021, 1194186 Search PubMed.
  172. X. Qi, Y. Wei, S. Wang, Z. Wang and M. Zhou, Processes, 2024, 12, 2306 CrossRef.
  173. S. Liu, A. Zolfaghari, S. Sattarin, A. K. Dahaghi and S. Negahban, J. Pet. Sci. Eng., 2019, 180, 445–455 Search PubMed.
  174. A. Kasha, A. Sakhaee-Pour and I. Hussein, SPE Reservoir Eval. Eng., 2022, 25, 1–20 CrossRef.
  175. R. Khosravi, M. Simjoo and M. Chahardowli, Sci. Rep., 2024, 14, 13213 CrossRef PubMed.
  176. K. Manikonda, A. R. Hasan, C. E. Obi, R. Islam, A. K. Sleiti, M. W. Abdelrazeq and M. A. Rahman, Abu Dhabi International Petroleum Exhibition and Conference, 2021, p. D041S121R004.
  177. D. Zhao, J. Hou, B. Wei, H. Liu, Q. Du, Y. Zhang and Z. Sun, Phys. Fluids, 2023, 35, 083312 CrossRef.
  178. A. Massimiani, F. Panini, S. L. Marasso, N. Vasile, M. Quaglio, C. Coti, D. Barbieri, F. Verga, C. F. Pirri and D. Viberti, Micromachines, 2023, 14, 308 CrossRef PubMed.
  179. N. Berghout, Putting CO2 to Use, creating value from emissions, International energy agency technical report, 2019.
  180. Y. Cheraghi, S. Kord and V. Mashayekhizadeh, Neural Comput. Appl., 2023, 35, 17077–17094 CrossRef.
  181. C. McGlade, G. Sondak and M. Han, Whatever happened to enhanced oil recovery?, International energy agency technical report, 2018.
  182. M. M. A. Awan and F. U. D. Kirmani, Pet. Res., 2025, 10(1), 129–136 Search PubMed.
  183. G. C. Institute, GLOBAL STATUS OF CCS 2024, collaborating for a net-zero future, Global carbon capture and storage institute technical report, 2024.
  184. S. Sayegh and D. Fisher, J. Can. Pet. Technol., 2009, 48, 30–36 CrossRef.
  185. M. Robin, J. Behot and V. Sygouni, SPE Improved Oil Recovery Conference, 2012, p. SPE-154165.
  186. X. Wang and Y. Gu, Ind. Eng. Chem. Res., 2011, 50, 2388–2399 CrossRef.
  187. M. Cao and Y. Gu, Fuel, 2013, 109, 157–166 CrossRef.
  188. N. Moradpour, P. Pourafshary and D. Zivar, J. Pet. Sci. Eng., 2021, 202, 108562 Search PubMed.
  189. Z.-x. Liu, Y. Liang, Q. Wang, Y.-j. Guo, M. Gao, Z.-b. Wang and W.-l. Liu, J. Pet. Sci. Eng., 2020, 193, 107449 CrossRef.
  190. S. Ghedan, SPE Reservoir Characterisation and Simulation Conference and Exhibition, 2009, p. SPE-125581.
  191. N. Zhang, M. Wei and B. Bai, Fuel, 2018, 220, 89–100 CrossRef.
  192. F. Gozalpour, S. R. Ren and B. Tohidi, Oil Gas Sci. Technol., 2005, 60, 537–546 CrossRef.
  193. M. Riazi, M. Sohrabi and M. Jamiolahmady, Transp. Porous Media, 2011, 86, 73–86 CrossRef.
  194. L. Wang, Y. He, Q. Wang, M. Liu and X. Jin, Fuel, 2020, 282, 118689 CrossRef.
  195. Z. Chen, L. Li, Y. Su, J. Liu, Y. Hao and X. Zhang, Fuel, 2024, 368, 131595 CrossRef.
  196. C. Qian, Z. Rui, Y. Liu, K. Zhou, K. Du, Y. Zhao, J. Zou, K. Song and X. Li, J. Chem. Eng., 2025, 505, 159135 Search PubMed.
  197. Z. Chen, Y. Zhou and H. Li, Ind. Eng. Chem. Res., 2022, 61, 10298–10318 CrossRef.
  198. A. Sharbatian, A. Abedini, Z. Qi and D. Sinton, Anal. Chem., 2018, 90, 2461–2467 CrossRef PubMed.
  199. B. Bao, J. Feng, J. Qiu and S. Zhao, ACS Omega, 2021, 6, 943–953 CrossRef PubMed.
  200. J. Shi, L. Tao, Y. Guo, X. He, Y. Li and B. Bao, Fuel, 2024, 362, 130876 CrossRef.
  201. X. Zhang, L. Li, Y. Su, Q. Da, J. Fu, R. Wang and F. Chen, Appl. Energy, 2023, 348, 121518 CrossRef.
  202. L. Tao, W. Liu, J. Shi, Y. Guo, W. Qin and B. Bao, Chem. Eng. Sci., 2025, 302, 120828 CrossRef.
  203. P. Nguyen, D. Mohaddes, J. Riordon, H. Fadaei, P. Lele and D. Sinton, Anal. Chem., 2015, 87, 3160–3164 Search PubMed.
  204. F. Ungar, S. Ahitan, S. Worthing, A. Abedini, K. Uleberg and T. Yang, J. Pet. Sci. Eng., 2022, 208, 109415 CrossRef.
  205. D. Pereponov, M. Tarkhov, D. B. Dorhjie, A. Rykov, I. Filippov, E. Zenova, V. Krutko, A. Cheremisin and E. Shilov, Energies, 2023, 16, 4994 CrossRef.
  206. H. Zou, A. C. Slim and A. Neild, Anal. Chem., 2019, 91, 13681–13687 Search PubMed.
  207. H. Zou, H. Kang, A. C. Slim and A. Neild, Lab Chip, 2020, 20, 3582–3590 RSC.
  208. X. Zhang, L. Li, Q. Da, Y. Su, S. Ma and Z. Zhu, J. Environ. Chem. Eng., 2022, 10, 109036 CrossRef.
  209. X. Zhang, Y. Su, L. Li, Q. Da, Y. Hao, W. Wang, J. Liu, X. Gao, A. Zhao and K. Wang, Energy, 2022, 248, 123649 Search PubMed.
  210. Y. Hao, Z. Li, Y. Su, C. Kong, H. Chen and Y. Meng, Energy, 2022, 254, 124349 CrossRef CAS.
  211. S. Yu, L. Yiqiang, Q. Huan, C. Jinxin and T. Xuechen, Energy Procedia, 2025, 53, 11507 Search PubMed.
  212. Y. Guo, F. Liu, J. Qiu, Z. Xu and B. Bao, Energy, 2022, 256, 124524 Search PubMed.
  213. P. Nguyen, J. W. Carey, H. S. Viswanathan and M. Porter, Appl. Energy, 2018, 230, 160–174 CrossRef CAS.
  214. R. Xu, R. Li, F. Huang and P. Jiang, Sci. Bull., 2017, 62, 795–803 CrossRef CAS PubMed.
  215. M. Zhang, B. Li, W. Lei, X. Zhao, W. Ding, X. Zhang, Y. Xin and Z. Li, Fuel, 2024, 371, 132026 Search PubMed.
  216. F. Huang, R. Xu, P. Jiang, C. Wang, H. Wang and Z. Lun, Phys. Fluids, 2020, 32, 092011 CrossRef CAS.
  217. Y. Guo, J. Shi, J. Qiu, Z. Xu and B. Bao, Fuel, 2023, 354, 129344 CrossRef CAS.
  218. X. Zheng, N. Mahabadi, T. S. Yun and J. Jang, J. Geophys. Res.: Solid Earth, 2017, 122, 1634–1647 Search PubMed.
  219. M. J. Shojaei, A. R. De Castro, Y. Méheust and N. Shokri, J. Colloid Interface Sci., 2019, 552, 464–475 CrossRef.
  220. A. Gizzatov, S. Pierobon, Z. AlYousef, G. Jian, X. Fan, A. Abedini and A. I. Abdel-Fattah, Sci. Rep., 2021, 11, 3360 CrossRef.
  221. X. Su and X.-a. Yue, J. Pet. Sci. Eng., 2020, 195, 107891 CrossRef.
  222. M. G. Rezk, J. Foroozesh, D. Zivar and M. Mumtaz, J. Nat. Gas Sci. Eng., 2019, 66, 233–243 CrossRef.
  223. Z. Song, Y. Li, Y. Song, B. Bai, J. Hou, K. Song, A. Jiang and S. Su, SPE Asia Pacific Oil and Gas Conference and Exhibition, 2020, p. D011S005R002.
  224. Y. Sugai, T. Babadagli and K. Sasaki, J. Pet. Explor. Prod. Technol., 2014, 4, 105–112 CrossRef.
  225. M. Seyyedattar, A. Ghamartale, S. Zendehboudi and S. Butt, J. Mol. Liq., 2023, 379, 121582 CrossRef.
  226. A. Abedini and F. Torabi, Ind. Eng. Chem. Res., 2013, 52, 15211–15223 CrossRef.
  227. I. Chatzis, A. Kantzas and F. A. Dullien, 63rd Annu. Tech. Conf. Exhib. Soc. Pet. Eng., Houston, TX, 1988, pp. 223–234.
  228. S. Ayatollahi, F. Boukadi, M. Wadhahi, R. Maamari and A. Bemani, SPE Middle East Oil Gas Show Conf. MEOS, Proc., 2005, pp. 1119–1124.
  229. M. Seyyedi and M. Sohrabi, Ind. Eng. Chem. Res., 2018, 57, 11617–11624 Search PubMed.
  230. P. E. Oren and W. Val Pinczewski, SPE Form. Eval., 1994, 9, 149–156 Search PubMed.
  231. C. Grattoni, M. P. Almada and R. Dawe, SPE Latin America and Caribbean Petroleum Engineering Conference, 1997, p. SPE-39032.
  232. C. Esene, N. Rezaei, A. Aborig and S. Zendehboudi, Fuel, 2019, 237, 1086–1107 CrossRef.
  233. S. Mahdavi and L. A. James, Fuel, 2019, 257, 115916 CrossRef.
  234. T. Jamshidi, F. Zeng, P. Tontiwachwuthikul and F. Torabi, Fuel, 2019, 249, 286–293 CrossRef.
  235. M. Riazi, M. Sohrabi, C. Bernstone, M. Jamiolahmady and S. Ireland, Chem. Eng. Res. Des., 2011, 89, 1827–1840 CrossRef.
  236. G.-T. Fu, Z.-G. Zheng, Y.-Q. Zhang, Y.-T. Dai, D.-C. Li, J. Zhan, C.-N. Gao and L.-W. Fan, Energy Fuels, 2024, 38, 23433–23446 CrossRef.
  237. H. Samara, M. Al-Eryani and P. Jaeger, Fuel, 2022, 323, 124271 Search PubMed.
  238. S. Rudyk, P. Spirov, P. Samuel and S. J. Joshi, Energy Fuels, 2017, 31, 6274–6283 Search PubMed.
  239. Y. Tang, C. Hou, Y. He, J. Tang, Y. Wang and J. Qin, Transp. Porous Media, 2023, 149, 117–145 CrossRef.
  240. C. Whitson and M. Brule, Phase Behavior, Society of Petroleum Engineers Inc., 1999, vol. 20 Search PubMed.
  241. B. Dindoruk, R. Johns and F. M. Orr, SPE Reserv. Eval. Eng., 2021, 24, 367–389 CrossRef.
  242. W. F. Yellig and R. S. Metcalfe, JPT, J. Pet. Technol., 1980, 32, 160–168 Search PubMed.
  243. G. Song, Y. Meng, C. Zhang, Z. Zhao and Q. Yang, ACS Omega, 2024, 9, 14747–14765 Search PubMed.
  244. D. N. Rao, Fluid Phase Equilib., 1997, 139, 311–324 CrossRef.
  245. S. C. Ayirala and D. N. Rao, SPE/DOE Symposium on Improved Oil Recovery, April 2006, SPE-99606-MS Search PubMed.
  246. R. L. Christiansen and H. K. Haines, SPE Reservoir Eng., 1987, 2, 523–527 CrossRef.
  247. K. Zhang, N. Jia, F. Zeng, S. Li and L. Liu, J. Pet. Sci. Eng., 2019, 183, 106366 CrossRef.
  248. Y. Gu, P. Hou and W. Luo, J. Chem. Eng. Data, 2013, 58, 1361–1370 CrossRef.
  249. X. Pan, L. Sun, F. Chen, X. Huo, Y. Wang, C. Feng, X. Zheng and Z. Zhang, Energy Fuels, 2024, 38, 10904–10913 CrossRef.
  250. W. Song, H. Fadaei and D. Sinton, Environ. Sci. Technol., 2014, 48, 3567–3574 CrossRef PubMed.
  251. S. Molla, L. Magro and F. Mostowfi, Lab Chip, 2016, 16, 3795–3803 RSC.
  252. M. Seyyedi and M. Sohrabi, Transp. Porous Media, 2020, 134, 331–349 CrossRef.
  253. A. Zick, 61 st Annu. Tech. Conf. Exhib. Soc. Pet. Eng., 1986, p. 15493.
  254. F. I. Stalkup, 62nd Annu. Tech. Conf. Exhib. Soc. Pet. Eng., 1987, p. 16715.
  255. M. Sohrabi, A. Danesh, D. H. Tehrani and M. Jamiolahmady, Transp. Porous Media, 2008, 72, 351–367 CrossRef.
  256. A. Alinejad and H. Dehghanpour, Fuel, 2024, 359, 130387 CrossRef.
  257. A. Alinejad, J. Behseresht and H. Dehghanpour, SPE J., 2025, 30, 251–271 CrossRef CAS.
  258. F. Torabi, A. Qazvini Firouz, A. Kavousi and K. Asghari, Fuel, 2012, 93, 443–453 Search PubMed.
  259. A. Abedini and F. Torabi, Energy Fuels, 2014, 28, 774–784 CrossRef.
  260. X. Zhou, Q. Yuan, X. Peng, F. Zeng and L. Zhang, Fuel, 2018, 215, 813–824 CrossRef.
  261. Q. Sun, Z. Li, J. Wang, S. Li, L. Jiang and C. Zhang, RSC Adv., 2015, 5, 67676–67689 RSC.
  262. N. Lima, S. Parsa, S. Paciornik and M. S. Carvalho, Sci. Rep., 2023, 13, 21802 Search PubMed.
  263. X. Shen, L. Zhao, Y. Ding, B. Liu, H. Zeng, L. Zhong and X. Li, J. Hazard. Mater., 2011, 186, 1773–1780 CrossRef PubMed.
  264. R. Aranda, H. Davarzani, S. Colombano, F. Laurent and H. Bertin, Transp. Porous Media, 2020, 134, 231–247 CrossRef.
  265. A. Karthick, B. Roy and P. Chattopadhyay, J. Environ. Manage., 2019, 243, 187–205 CrossRef PubMed.
  266. J. Maire, E. Brunol and N. Fatin-Rouge, Chemosphere, 2018, 197, 661–669 CrossRef PubMed.
  267. W. R. Rossen, R. Farajzadeh, G. J. Hirasaki and M. Amirmoshiri, SPE Improved Oil Recovery Conference, 2022, p. D021S014R001.
  268. J. A. Clark and E. E. Santiso, Engineering, 2018, 4, 336–342 CrossRef.
  269. W. Wanniarachchi, P. Ranjith, M. Perera, T. Rathnaweera, D. Zhang and C. Zhang, Eng. Fract. Mech., 2018, 194, 117–135 CrossRef.
  270. S. Tong, R. Singh and K. K. Mohanty, J. Nat. Gas Sci. Eng., 2018, 52, 235–247 CrossRef.
  271. S. Tong, M. Gu, R. Singh and K. K. Mohanty, J. Pet. Sci. Eng., 2019, 182, 106279 CrossRef.
  272. S. H. Talebian, R. Masoudi, I. M. Tan and P. L. J. Zitha, J. Pet. Sci. Eng., 2014, 120, 202–215 CrossRef.
  273. G. Jian, C. A. Fernandez, M. Puerto, R. Sarathi, A. Bonneville and S. L. Biswal, J. Pet. Sci. Eng., 2021, 202, 108447 Search PubMed.
  274. R. Phukan, S. B. Gogoi and P. Tiwari, Colloids Surf., A, 2020, 597, 124799 Search PubMed.
  275. A. Shokrollahi, M. H. Ghazanfari and A. Badakhshan, Can. J. Chem. Eng., 2014, 92, 1975–1987 CrossRef.
  276. W. Yun, S. Chang, D. A. Cogswell, S. L. Eichmann, A. Gizzatov, G. Thomas, N. Al-Hazza, A. Abdel-Fattah and W. Wang, Sci. Rep., 2020, 10, 782 CrossRef.
  277. K. R. Chaturvedi and T. Sharma, Chem. Eng. Sci., 2021, 235, 116484 CrossRef.
  278. K. Zhang, S. Li and L. Liu, Fuel, 2020, 267, 117099 CrossRef.
  279. N. Moradpour, R. Azadi and P. A. Tsai, Colloids Surf., A, 2025, 705, 135533 CrossRef.
  280. K. Osei-Bonsu, N. Shokri and P. Grassia, J. Colloid Interface Sci., 2016, 462, 288–296 CrossRef PubMed.
  281. M. J. Shojaei, K. Osei-Bonsu, S. Richman, P. Grassia and N. Shokri, Ind. Eng. Chem. Res., 2018, 58, 1068–1074 Search PubMed.
  282. S. Alexander, A. R. Barron, N. Denkov, P. Grassia, S. Kiani, M. Sagisaka, M. J. Shojaei and N. Shokri, Ind. Eng. Chem. Res., 2021, 61, 372–381 Search PubMed.
  283. S. E. Taher, H. A. Abderrahmane and E. W. Al-Shalabi, Fuel, 2022, 320, 123884 Search PubMed.
  284. D.-X. Du, A. N. Beni, R. Farajzadeh and P. L. Zitha, Ind. Eng. Chem. Res., 2008, 47, 6298–6306 CrossRef.
  285. M. Simjoo, Y. Dong, A. Andrianov, M. Talanana and P. Zitha, Ind. Eng. Chem. Res., 2013, 52, 6221–6233 CrossRef.
  286. D. Du, Y. Li, D. Zhang, X. Dong, F. Wang and K. Chao, Exp. Therm. Fluid Sci., 2019, 103, 247–261 CrossRef.
  287. D. Wang, J. Fan and Z. Xue, Water Resour. Res., 2022, 58, e2021WR031874 CrossRef.
  288. S. Li, Q. Wang, K. Zhang and Z. Li, Fuel, 2020, 263, 116648 CrossRef.
  289. G. Shi, K. Tang, F. Wang, Q. Luo, L. Bai, P. Sun and D. Zhu, Energy Fuels, 2020, 35, 465–472 CrossRef.
  290. P. Liu, X. Zhang, Y. Wu and X. Li, J. Pet. Sci. Eng., 2017, 150, 208–216 CrossRef.
  291. N. Moradpour, M. Karimova, P. Pourafshary and D. Zivar, ACS Omega, 2020, 5, 18155–18167 CrossRef.
  292. E. Vavra, M. Puerto, S. L. Biswal and G. J. Hirasaki, Sci. Rep., 2020, 10, 12930 CrossRef.
  293. A. Telmadarreie and J. J. Trivedi, Transp. Porous Media, 2016, 113, 717–733 Search PubMed.
  294. N. Pal, X. Zhang, M. Ali, A. Mandal and H. Hoteit, Fuel, 2022, 315, 122947 CrossRef.
  295. W. Yu, X. Zhou and M. Y. Kanj, Langmuir, 2022, 38, 2895–2905 CrossRef PubMed.
  296. Z. Huang, M. Su, Q. Yang, Z. Li, S. Chen, Y. Li, X. Zhou, F. Li and Y. Song, Nat. Commun., 2017, 7, 1–9 Search PubMed.
  297. J. Zhao, F. Torabi and J. Yang, Fuel, 2021, 287, 119443 CrossRef.
  298. N. Yekeen, M. A. Manan, A. K. Idris, A. M. Samin and A. R. Risal, J. Pet. Sci. Eng., 2017, 159, 115–134 CrossRef.
  299. Y. Wang, M. Puerto, C. Bai, K. Ma, K. Mateen, G. J. Hirasaki and S. L. Biswal, Ind. Eng. Chem. Res., 2025, 64, 2995–3003 CrossRef.
  300. T. Muther, H. A. Qureshi, F. I. Syed, H. Aziz, A. Siyal, A. K. Dahaghi and S. Negahban, J. Pet. Explor. Prod. Technol., 2022, 12, 1463–1488 CrossRef.
  301. R. Santos, W. Loh, A. Bannwart and O. Trevisan, Braz. J. Chem. Eng., 2014, 31, 571–590 CrossRef.
  302. S. E. Quiñones-Cisneros, S. I. Andersen and J. Creek, Energy Fuels, 2005, 19, 1314–1318 CrossRef.
  303. A. Hinkle, E.-J. Shin, M. W. Liberatore, A. M. Herring and M. Batzle, Fuel, 2008, 87, 3065–3070 CrossRef.
  304. A. Kovscek, T. Patzek and C. Radke, Chem. Eng. Sci., 1995, 50, 3783–3799 CrossRef.
  305. M. Lotfollahi, R. Farajzadeh, M. Delshad, A. Varavei and W. R. Rossen, SPE EOR Conference at Oil and Gas West Asia, 2016, p. D021S009R003.
  306. Q. Xu and W. R. Rossen, Colloids Surf., A, 2003, 216, 175–194 Search PubMed.
  307. H. Manikantan and T. M. Squires, J. Fluid Mech., 2020, 892, P1 CrossRef PubMed.
  308. Y. Yu, B. F. García and S. Saraji, J. Non-Newtonian Fluid Mech., 2020, 282, 104311 CrossRef.
  309. J. Tao, C. Dai, W. Kang, G. Zhao, Y. Liu, J. Fang, M. Gao and Q. You, Energy Fuels, 2017, 31, 13416–13426 CrossRef.
  310. R. Singh and K. K. Mohanty, Fuel, 2017, 197, 58–69 CrossRef.
  311. M. Wang, S. Yang, M. Li, S. Wang, P. Yu, Y. Zhang and H. Chen, Energy Fuels, 2021, 35, 4296–4312 CrossRef.
  312. M. Lv, Z. Liu, C. Ji, L. Jia and Y. Jiang, Ind. Eng. Chem. Res., 2018, 57, 15172–15180 CrossRef.
  313. S. Jones, N. Getrouw and S. Vincent-Bonnieu, Soft Matter, 2018, 14, 3490–3496 RSC.
  314. B. Benali, T. L. Føyen, Z. P. Alcorn, M. Haugen, J. Gauteplass, A. R. Kovscek and M. A. Fernø, Int. J. Greenhouse Gas Control, 2022, 114, 103607 CrossRef.
  315. J. Gauteplass, K. Chaudhary, A. R. Kovscek and M. A. Fernø, Colloids Surf., A, 2015, 468, 184–192 CrossRef.
  316. D. Huh, T. Cochrane and F. Kovarik, JPT, J. Pet. Technol., 1989, 41, 872–879 CrossRef.
  317. T. W. de Haas, B. Bao, H. Acosta Ramirez, A. Abedini and D. Sinton, Energy Fuels, 2021, 35, 7866–7873 CrossRef.
  318. G. Jian, A. Gizzatov, M. Kawelah, Z. AlYousef and A. I. Abdel-Fattah, Appl. Energy, 2021, 292, 116815 Search PubMed.
  319. M. Issakhov, M. Shakeel, P. Pourafshary, S. Aidarova and A. Sharipova, Pet. Res., 2022, 7, 186–203 Search PubMed.
  320. Z. Wang, J. Sun, Y. Wang, H. Guo and S. A. Aryana, J. Contam. Hydrol., 2021, 242, 103853 Search PubMed.
  321. K. Osei-Bonsu, P. Grassia and N. Shokri, Fuel, 2017, 203, 403–410 Search PubMed.
  322. Z. Xu, Z. Li, S. Cui, B. Li, D. Chen, Q. Zhang, L. Zheng and M. M. Husein, J. Pet. Sci. Eng., 2022, 211, 110170 CrossRef.
  323. F. Guo and S. Aryana, Fuel, 2016, 186, 430–442 CrossRef.
  324. L. F. Lopes, J. M. Façanha, L. Maqueira, F. R. Ribeiro and A. Pérez-Gramatges, J. Pet. Sci. Eng., 2021, 207, 109141 CrossRef.
  325. A. Telmadarreie, J. Pet. Sci. Eng., 2017, 157, 1170–1178 Search PubMed.
  326. Q. Gao, X. Xu, S. Liu, A. O. Mmbuji and Y. Wu, Energy Fuels, 2024, 38, 3755–3768 CrossRef.
  327. Z. Xu, B. Li, H. Zhao, L. He, Z. Liu, D. Chen, H. Yang and Z. Li, ACS Omega, 2020, 5, 19092–19103 CrossRef.
  328. A. Rahman, E. Shirif and F. Torabi, Petroleum, 2024, 10, 696–704 CrossRef.
  329. T. Lu, Z. Li and L. Du, J. Cleaner Prod., 2024, 434, 140055 CrossRef.
  330. N. Denkov, S. Tcholakova and N. Politova-Brinkova, Curr. Opin. Colloid Interface Sci., 2020, 50, 101376 Search PubMed.
  331. N. Yekeen, M. A. Manan, A. K. Idris, E. Padmanabhan, R. Junin, A. M. Samin, A. O. Gbadamosi and I. Oguamah, J. Pet. Sci. Eng., 2018, 164, 43–74 CrossRef.
  332. X.-C. Tang, Y.-Q. Li, Z.-Y. Liu and N. Zhang, Pet. Sci., 2023, 20, 2282–2304 CrossRef.
  333. D. L. Weaire and S. Hutzler, The physics of foams, Oxford University Press, 1999 Search PubMed.
  334. B. Dollet and C. Raufaste, C. R. Phys., 2014, 15, 731–747 CrossRef.
  335. S. Marze, R.-M. Guillermic and A. Saint-Jalmes, Soft Matter, 2009, 5, 1937–1946 RSC.
  336. S. Jones, N. Getrouw and S. Vincent-Bonnieu, Soft Matter, 2018, 14, 3497–3503 RSC.
  337. Z. AlYousef, A. Gizzatov, H. AlMatouq and G. Jian, J. Pet. Explor. Prod. Technol., 2023, 13, 1155–1162 CrossRef.
  338. N. Nazari and A. R. Kovscek, Lab Chip, 2022, 22, 3489–3498 RSC.
  339. F. Friedmann and J. Jensen, SPE Western Regional Meeting, 1986, p. SPE-15087.
  340. W. Yan, C. A. Miller and G. J. Hirasaki, Colloids Surf., A, 2006, 282, 348–359 CrossRef.
  341. S. Kahrobaei, S. Vincent-Bonnieu and R. Farajzadeh, Sci. Rep., 2017, 282, 348–359 Search PubMed.
  342. J. Alvarez, H. Rivas and W. Rossen, SPE J., 2001, 6, 325–333 CrossRef.
  343. F. Guo and S. A. Aryana, Energies, 2019, 12, 1390 CrossRef CAS.
  344. K. Chen, P. Liu, W. Wang, Y. Chen and B. Bate, Energy Fuels, 2023, 37, 17263–17276 CrossRef CAS.
  345. W. Yang, J. W. Brownlow, D. L. Walker and J. Lu, Water Resour. Res., 2021, 57, e2020WR029522 CrossRef CAS.
  346. G. J. Hirasaki and J. Lawson, Soc. Pet. Eng. J., 1985, 25, 176–190 CrossRef.
  347. A. R. Kovscek and C. J. Radke, Fundamentals of foam transport in porous media, Lawrence berkeley lab., ca (united states), technical report, 1993 Search PubMed.
  348. C. Zhang, M. Oostrom, T. W. Wietsma, J. W. Grate and M. G. Warner, Energy Fuels, 2011, 25, 3493–3505 CrossRef CAS.
  349. M. J. Shojaei, K. Osei-Bonsu, P. Grassia and N. Shokri, Ind. Eng. Chem. Res., 2018, 57, 7275–7281 CrossRef CAS.
  350. Q. Sun, Z. Li, S. Li, L. Jiang, J. Wang and P. Wang, Energy Fuels, 2014, 28, 2384–2394 CrossRef CAS.
  351. F. Guo, S. A. Aryana, Y. Wang, J. F. McLaughlin and K. Coddington, Int. J. Greenhouse Gas Control, 2019, 87, 134–141 CrossRef CAS.
  352. F. Guo and S. A. Aryana, J. Pet. Sci. Eng., 2018, 164, 155–163 CrossRef CAS.
  353. D. Li, G. Xin and S. Ren, ACS Omega, 2022, 7, 36503–36509 CrossRef CAS.
  354. A. Telmadarreie and J. J. Trivedi, SPE J., 2016, 21, 1655–1668 CrossRef CAS.
  355. M.-C. Ding, Q. Li, Y.-J. Yuan, Y.-F. Wang, N. Zhao and Y.-G. Han, Pet. Sci., 2022, 19, 1185–1197 CrossRef CAS.
  356. J. Casteel and N. Djabbarah, SPE Reservoir Eng., 1988, 3, 1186–1192 CrossRef CAS.
  357. R. F. Li, W. Yan, S. Liu, G. J. Hirasaki and C. A. Miller, SPE J., 2010, 15, 928–942 CrossRef.
  358. M. Wang, L. Li, Y. Zhou, X. Peng, P. Yu, X. Wang and S. Yang, Energy Fuels, 2022, 36, 4757–4769 CrossRef CAS.
  359. K. Fan, C. Guo, N. Liu, X. Liang, B. Lin and T. Liu, Phys. Fluids, 2025, 37, 071301 CrossRef CAS.
  360. A. Muggeridge, A. Cockin, K. Webb, H. Frampton, I. Collins, T. Moulds and P. Salino, Philos. Trans. R. Soc., A, 2014, 372, 20120320 CrossRef.
  361. M. Fani, P. Pourafshary, P. Mostaghimi and N. Mosavat, Fuel, 2022, 315, 123225 Search PubMed.
  362. D. Shaikhah, V. Loise, R. Angelico, M. Porto, P. Calandra, A. A. Abe, F. Testa, C. Bartucca, C. Oliviero Rossi and P. Caputo, Molecules, 2024, 29, 301 Search PubMed.
  363. U. S. Behera, G. Kumar and J. S. Sangwai, Energy Fuels, 2022, 36, 8115–8127 Search PubMed.
  364. D. Zhu, B. Li, L. Chen, C. Zhang, L. Zheng, W. Chen and Z. Li, Fuel, 2024, 362, 130792 CrossRef CAS.
  365. L. P. Tuok, M. Elkady, A. Zkria, T. Yoshitake, S. A. Abdelkader, D. F. Seyam, A. El-Moneim, A. M. F. El-Bab and U. N. Eldemerdash, Chem. Eng. J., 2024, 488, 151011 CrossRef CAS.
  366. A. I. Pryazhnikov, M. I. Pryazhnikov, V. A. Zhigarev and A. V. Minakov, J. Mol. Liq., 2025, 419, 126773 CrossRef CAS.
  367. M. Saadat, P. A. Tsai, T.-H. Ho, G. Øye and M. Dudek, ACS Omega, 2020, 5, 17521–17530 CrossRef CAS PubMed.
  368. M. Khashay, T. Ganat and E. Esmaeilnezhad, Results Eng., 2025, 105380 Search PubMed.
  369. S. M. M. Bagheri, M. Nabipour, N. Esfandiari, B. Honarvar and A. Azdarpour, J. Pet. Explor. Prod. Technol., 2025, 15, 70 CrossRef CAS.
  370. B. Metz, O. Davidson, H. de Coninck, M. Loos and L. Meyer, IPCC Special Report on Carbon Dioxide Capture and Storage, 2005.
  371. S. Bachu, D. Bonijoly, J. Bradshaw, R. Burruss, S. Holloway, N. P. Christensen and O. M. Mathiassen, Int. J. Greenhouse Gas Control, 2007, 1, 430–443 Search PubMed.
  372. H. Yoon, K. N. Chojnicki and M. J. Martinez, Environ. Sci. Technol., 2019, 53, 14233–14242 Search PubMed.
  373. J. Tirapu-azpiroz, M. Esteves, A. Ferreira, R. Luis, R. Neumann, B. Ferreira, R. Giro, B. Wunsch and M. B. Steiner, Proc. SPIE, 2022, 11955, 1–12 Search PubMed.
  374. J. Xu and M. T. Balhoff, Lab Chip, 2022, 22, 4205–4223 Search PubMed.
  375. J. Xu, PhD thesis, The University of Texas at Austin, 2023 Search PubMed.
  376. O. Massarweh and A. S. Abushaikha, Earth-Sci. Rev., 2024, 253, 104793 CrossRef CAS.
  377. S. C. Cao, S. Dai and J. Jung, Int. J. Greenhouse Gas Control, 2016, 44, 104–114 CrossRef CAS.
  378. R. Hu, J. Wan, Y. Kim and T. K. Tokunaga, Water Resour. Res., 2017, 53, 6377–6394 CrossRef CAS.
  379. Y. Song, C. Zhao, M. Chen, Y. Chi, Y. Zhang and J. Zhao, Int. J. Greenhouse Gas Control, 2020, 95, 102958 CrossRef CAS.
  380. C. Chang, Q. Zhou, J. Guo and Q. Yu, Int. J. Greenhouse Gas Control, 2014, 28, 328–342 CrossRef CAS.
  381. C. Chang, Q. Zhou, T. J. Kneafsey, M. Oostrom, T. W. Wietsma and Q. Yu, Adv. Water Resour., 2016, 92, 142–158 CrossRef CAS.
  382. C. Chang, Q. Zhou, M. Oostrom, T. J. Kneafsey and H. Mehta, Adv. Water Resour., 2017, 100, 14–25 Search PubMed.
  383. C. Chang, T. J. Kneafsey, Q. Zhou, M. Oostrom and Y. Ju, Int. J. Greenhouse Gas Control, 2019, 86, 11–21 CrossRef CAS.
  384. N. Liu, C. Aymonier, C. Lecoutre, Y. Garrabos and S. Marre, Chem. Phys. Lett., 2012, 551, 139–143 Search PubMed.
  385. J. Yue, G. Chen, Q. Yuan, L. Luo and Y. Gonthier, Chem. Eng. Sci., 2007, 62, 2096–2108 CrossRef CAS.
  386. R. Sun and T. Cubaud, Lab Chip, 2011, 11, 2924–2928 RSC.
  387. J. Yue, E. V. Rebrov and J. C. Schouten, Lab Chip, 2014, 14, 1632–1649 RSC.
  388. N. Qin, J. Z. Wen, B. Chen and C. L. Ren, Appl. Phys. Lett., 2018, 113, 033703 CrossRef.
  389. S. Yang, G. Kong, Z. Cao and Z. Wu, Chem. Eng. J. Adv., 2023, 16, 100518 CrossRef CAS.
  390. B. Zhao, C. W. MacMinn and R. Juanes, Proc. Natl. Acad. Sci. U. S. A., 2016, 113, 10251–10256 CrossRef CAS PubMed.
  391. M. Saadat, J. Yang, M. Dudek, G. Øye and P. A. Tsai, J. Pet. Sci. Eng., 2021, 203, 108647 CrossRef CAS.
  392. J. Yang, M. Saadat, I. Azizov, M. Dudek, G. Øye and P. A. Tsai, Lab Chip, 2022, 22, 4974–4983 RSC.
  393. S. Yang, H. Li, S. Suo and Z. Wu, Adv. Water Resour., 2024, 191, 104757 CrossRef.
  394. M. Buchgraber, A. R. Kovscek and L. M. Castanier, Transp. Porous Media, 2012, 95, 647–668 CrossRef.
  395. Y. Li, G. Blois, F. Kazemifar and K. T. Christensen, Water Resour. Res., 2019, 55, 3758–3779 Search PubMed.
  396. A. A. Elryes, B. M. Negash, N. A. Md Akhir, F. Ali and R. T. Mim, Energy Fuels, 2024, 38, 20196–20223 CrossRef.
  397. Y. Li, F. Kazemifar, G. Blois and K. T. Christensen, Water Resour. Res., 2017, 53, 6178–6196 CrossRef.
  398. P. Saffman and G. Taylor, Proc. R. Soc. London, Ser. A, 1958, 245, 312–329 Search PubMed.
  399. S. Morais, N. Liu, A. Diouf, D. Bernard, C. Lecoutre, Y. Garrabos and S. Marre, Lab Chip, 2016, 16, 3493–3502 RSC.
  400. F. Kazemifar, G. Blois, D. C. Kyritsis and K. T. Christensen, Adv. Water Resour., 2016, 95, 352–368 CrossRef.
  401. Y. Li, G. Blois, F. Kazemifar and K. T. Christensen, Meas. Sci. Technol., 2021, 32, 095208 CrossRef.
  402. S. Berg, H. Ott, S. A. Klapp, A. Schwing, R. Neiteler, N. Brussee and A. Makurat, Proc. Natl. Acad. Sci. U. S. A., 2013, 110, 3755–3759 CrossRef PubMed.
  403. M. Abolhasani, M. Singh, E. Kumacheva and A. Günther, Lab Chip, 2012, 12, 1611–1618 RSC.
  404. R. Miri and H. Hellevang, Int. J. Greenhouse Gas Control, 2016, 51, 136–147 CrossRef.
  405. M. Kim, A. Sell and D. Sinton, Lab Chip, 2013, 13, 2508–2518 RSC.
  406. R. Miri, R. van Noort, P. Aagaard and H. Hellevang, Int. J. Greenhouse Gas Control, 2015, 43, 10–21 CrossRef.
  407. D. He, P. Jiang and R. Xu, Environ. Sci. Technol., 2019, 53, 14744–14751 Search PubMed.
  408. L. Yan, R. Niftaliyev, D. Voskov and R. Farajzadeh, J. Colloid Interface Sci., 2025, 678, 419–430 Search PubMed.
  409. A. Rufai and J. Crawshaw, ACS Earth Space Chem., 2018, 2, 320–329 CrossRef.
  410. K. M. Dąbrowski, M. Nooraiepour, M. Masoudi, M. Zając, S. Kuczyński, R. Smulski, J. Barbacki, H. Hellevang and S. Nagy, Sci. Total Environ., 2025, 958, 178110 CrossRef PubMed.
  411. D. Zivar, S. Kumar and J. Foroozesh, Int. J. Hydrogen Energy, 2021, 46, 23436–23462 CrossRef.
  412. R. Tarkowski, Renewable Sustainable Energy Rev., 2019, 105, 86–94 CrossRef.
  413. A. Alinejad, M. H. Molazem, A. Sharma and H. Dehghanpour, Int. J. Hydrogen Energy, 2024, 52, 787–803 CrossRef.
  414. M. Lysyy, G. Ersland and M. Fernø, Adv. Water Resour., 2022, 163, 104167 CrossRef.
  415. M. Lysyy, N. Liu, C. M. Solstad, M. A. Fernø and G. Ersland, Int. J. Hydrogen Energy, 2023, 48, 31294–31304 CrossRef.
  416. M. Lysyy, N. Liu, D. Landa-Marbán, G. Ersland and M. Fernø, J. Energy Storage, 2024, 87, 111439 CrossRef.
  417. M. Bahrami, H. Mahani, D. Zivar and S. Ayatollahi, J. Energy Storage, 2024, 98, 112959 CrossRef.
  418. J. Gao, D. Kong, Y. Peng, Y. Zhou, Y. Liu and W. Zhu, Energy, 2023, 283, 129007 CrossRef.
  419. J. Roof, Soc. Pet. Eng. J., 1970, 10, 85–90 Search PubMed.
  420. E. M. Thaysen, I. B. Butler, A. Hassanpouryouzband, D. Freitas, F. Alvarez-Borges, S. Krevor, N. Heinemann, R. Atwood and K. Edlmann, Int. J. Hydrogen Energy, 2023, 48, 3091–3106 Search PubMed.
  421. H. Song, J. Lao, L. Zhang, C. Xie and Y. Wang, Appl. Energy, 2023, 337, 120901 CrossRef.
  422. T. Lu, Z. Li and L. Du, J. Chem. Eng., 2024, 481, 148575 CrossRef.
  423. F. E. Viveros, O. E. Medina, I. Moncayo-Riascos, M. Lysyy, P. N. Benjumea, F. B. Cortés and C. A. Franco, J. Energy Storage, 2024, 98, 113110 CrossRef.
  424. O. E. Medina, J. F. Gallego, I. Moncayo-Riascos, M. Lysyy, P. N. Benjumea, F. B. Cortés and C. A. Franco, Int. J. Hydrogen Energy, 2024, 60, 959–975 CrossRef.
  425. T. Huang, G. J. Moridis and T. A. Blasingame, Int. J. Hydrogen Energy, 2024, 88, 289–312 CrossRef.
  426. A. Lider, V. Kudiiarov, N. Kurdyumov, J. Lyu, M. Koptsev, N. Travitzky and D. Hotza, Int. J. Hydrogen Energy, 2023, 48, 28390–28411 CrossRef.
  427. W. van Rooijen, L. Hashemi, M. Boon, R. Farajzadeh and H. Hajibeygi, Adv. Water Resour., 2022, 164, 104221 CrossRef.
  428. M. Boon, I. Buntic, K. Ahmed, N. Dopffel, C. Peters and H. Hajibeygi, Sci. Rep., 2024, 14, 8248 CrossRef PubMed.
  429. N. Liu, A. R. Kovscek, M. A. Fernø and N. Dopffel, Front. Energy Res., 2023, 11, 1124621 CrossRef.
  430. R. Song, M. Wu, J. Liu and C. Yang, Energy, 2024, 306, 132534 CrossRef.
  431. N. Liu, T. Skauge, D. Landa-Marbán, B. Hovland, B. Thorbjørnsen, F. A. Radu, B. F. Vik, T. Baumann and G. Bødtker, J. Ind. Microbiol. Biotechnol., 2019, 46, 855–868 CrossRef.
  432. S. P. Gregory, M. J. Barnett, L. P. Field and A. E. Milodowski, Microorganisms, 2019, 7, 53 CrossRef.
  433. S. Dahiya, S. Chatterjee, O. Sarkar and S. V. Mohan, Bioresour. Technol., 2021, 321, 124354 CrossRef PubMed.
  434. T. Lu, Z. Li and L. Du, J. Cleaner Prod., 2024, 472, 143494 Search PubMed.
  435. Y. Chen, X. Zhang and Z. Wu, in Flexible Substrates, John Wiley & Sons, Ltd, 2024, ch. 3, pp. 77–122 Search PubMed.
  436. H. Fallahi, J. Zhang, H.-P. Phan and N.-T. Nguyen, Micromachines, 2019, 10, 830 CrossRef PubMed.
  437. C. M. B. Ho, S. H. Ng, K. H. H. Li and Y. J. Yoon, Lab Chip, 2015, 15, 3627–3637 RSC.
  438. A. A. Yazdi, A. Popma, W. Wong, T. Nguyen, Y. Pan and J. Xu, Microfluid. Nanofluid., 2016, 20, 1–18 CrossRef.
  439. H. Gong, A. T. Woolley and G. P. Nordin, Lab Chip, 2018, 18, 639–647 RSC.
  440. M. J. Männel, L. Selzer, R. Bernhardt and J. Thiele, Adv. Mater. Technol., 2019, 4, 1–10 Search PubMed.
  441. B. Carnero, Y. Radziunas-Salinas, B. K. Rodiño-Janeiro, S. V. Ballesta and M. T. Flores-Arias, Lab Chip, 2024, 24, 2669–2682 RSC.
  442. N. Vaisblat, N. B. Harris, K. Ayranci, R. Chalaturnyk, M. Power, C. Twemlow and N. Minion, Mar. Pet. Geol., 2022, 136, 105431 CrossRef.
  443. K. Karimi, A. Fardoost, N. Mhatre, J. Rajan, D. Boisvert and M. Javanmard, Micromachines, 2024, 15, 1274 Search PubMed.
  444. A.-I. Bunea, N. del Castillo Iniesta, A. Droumpali, A. E. Wetzel, E. Engay and R. Taboryski, Micro, 2021, pp. 164–180 Search PubMed.
  445. A. Nur'aini and I. Oh, ACS Omega, 2022, 7, 16665–16669 CrossRef PubMed.
  446. C. Xi, D. L. Marks, D. S. Parikh, L. Raskin and S. A. Boppart, Proc. Natl. Acad. Sci. U. S. A., 2004, 101, 7516–7521 CrossRef PubMed.
  447. International Organization for Standardization, Microfluidic devices–Interoperability requirements for dimensions, connections and initial device classification, https://www.iso.org/standard/74157.html, ISO Standard No. 22916:2022.
  448. D. R. Reyes and H. van Heeren, J. Res. Natl. Inst. Stand. Technol., 2019, 124, 1–22 CrossRef PubMed.
  449. Royal Society of Chemistry, Chips and Tips, https://blogs.rsc.org/chipsandtips/, Accessed: 2025-07-30.
  450. Texas Advanced Computing Center, Digital Porous Media Portal, https://digitalporousmedia.org/, Accessed: 2025-07-30.
  451. J. E. Santos, B. Chang, A. Gigliotti, Y. Yin, W. Song, M. Prodanović, Q. Kang, N. Lubbers and H. Viswanathan, Sci. Data, 2022, 9, 1–14 CrossRef PubMed.
  452. M. Prodanović, M. Esteva, J. McClure, B. C. Chang, J. E. Santos, A. Radhakrishnan, A. Singh and H. Khan, E3S Web Conf., 2023, p. 01010.
  453. J. McClure, S. Berg and R. Armstrong, Phys. Fluids, 2021, 33, 083323 Search PubMed.
  454. Y. Xiao, Z. You, Y. He, Z. Du, J. Zheng and L. Wang, Geoenergy Sci. Eng., 2025, 246, 213606 CrossRef CAS.
  455. R. Hilfer, Phys. Rev. E, 2020, 102, 053103 CrossRef CAS PubMed.
  456. X. Jin, C. Chao, K. Edlmann and X. Fan, J. Hydrol., 2022, 606, 127411 CrossRef CAS.
  457. R. Armstrong, A. Georgiadis, H. Ott, D. Klemin and S. Berg, Geophys. Res. Lett., 2014, 41, 55–60 CrossRef.
  458. Y. Wang, R. Song, J. Liu, M. Cui and P. Ranjith, J. Contam. Hydrol., 2019, 225, 103499 Search PubMed.
  459. H. Guo, K. Song and R. Hilfer, Transp. Porous Media, 2022, 144, 3–31 Search PubMed.
  460. M. Leverett, Transactions of the AIME, 1941, 142, 152–169 Search PubMed.
  461. J. Kozeny, Sitzungsberichte der Akademie der Wissenschaften in Wien, 1927, 136, 271 Search PubMed.
  462. P. Carman, Transactions of the Institution of Chemical Engineers London, 1937, 15, 150–156 Search PubMed.
  463. A. Gringarten, D. Bourdet, P. Landel and V. Kniazeff, SPE Annual Technical Conference and Exhibition, September, 1979, SPE-8205-MS Search PubMed.
  464. T. Hiller, J. Ardevol-Murison, A. Muggeridge, M. Schröter and M. Brinkmann, SPE J., 2019, 24, 200–214 Search PubMed.
  465. V. Joekar-Niasar and S. Hassanizadeh, Crit. Rev. Environ. Sci. Technol., 2012, 42, 1895–1976 CrossRef CAS.
  466. C. Pan, M. Hilpert and C. Miller, Water Resour. Res., 2004, 40, W01501 Search PubMed.
  467. M. Hassanizadeh and W. Gray, Adv. Water Resour., 1979, 2, 131–144 CrossRef.
  468. M. Blunt, M. Jackson, M. Piri and P. Valvatne, Adv. Water Resour., 2002, 25, 1069–1089 CrossRef CAS.
  469. M. Jackson, P. Valvatne and M. Blunt, J. Pet. Sci. Eng., 2003, 39, 231–246 CrossRef CAS.
  470. M. Blunt, B. Bijeljic, H. Dong, O. Gharbi, S. Iglauer, P. Mostaghimi, A. Paluszny and C. Pentland, Adv. Water Resour., 2013, 51, 197–216 CrossRef.
  471. I. Battiato, P. Ferrero V, D. O'Malley, C. Miller, P. Takhar, F. Valdes-Parada and B. Wood, Transp. Porous Media, 2019, 130, 5–76 CrossRef.
  472. O. Izgec, B. Demiral, H. Bertin and S. Akin, Transp. Porous Media, 2008, 72, 1–24 CrossRef CAS.
  473. Q. Xie, W. Wang, Y. Su, H. Wang, Z. Zhang and W. Yan, J. Nat. Gas Sci. Eng., 2023, 114, 204978 CrossRef CAS.
  474. A. Gbadamosi, R. Junin, M. Manan, A. Agi and A. Yusuff, Int. Nano Lett., 2019, 9, 171–202 CrossRef CAS.
  475. N. A. Kamaludin, N. N. S. Suhaidi and N. Ismail, Mater. Today, 2023, 107, 243–248 Search PubMed.
  476. Q. Lv, T. Zhou, Y. Luan, R. Zheng, X. Guo, X. Wang and A. Hemmati-Sarapardeh, J. Cleaner Prod., 2023, 406, 136980 CrossRef CAS.
  477. P. Wei, K. Guo and Y. Xie, J. Pet. Sci. Eng., 2020, 195, 107597 Search PubMed.
  478. B. N. Tackie-Otoo, M. A. A. Mohammed, N. Yekeen and B. M. Negash, J. Pet. Sci. Eng., 2020, 187, 106828 CrossRef CAS.
  479. R. Liontas, K. Ma, G. J. Hirasaki and S. L. Biswal, Soft Matter, 2013, 9, 10971–10984 Search PubMed.
  480. A. Fatah, A. Al-Yaseri, S. Alshammari and A. S. Al-Qasim, Energy Fuels, 2024, 38, 20951–20966 CrossRef CAS.

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