Tran
Thi Bao Le
a,
Candice
Divine-Ayela
a,
Alberto
Striolo
*a and
David R.
Cole
b
aDepartment of Chemical Engineering, University College London, London WC1E 6BT, UK. E-mail: a.striolo@ucl.ac.uk
bSchool of Earth Sciences, The Ohio State University, Columbus, Ohio 43210, USA
First published on 12th August 2021
Understanding the wetting properties of reservoir rocks can be of great benefit for advanced applications such as the effective trapping and geological storage of CO2. Despite their importance, not all mechanisms responsible for wetting mineral surfaces in subsurface environments are well understood. Factors such as temperature, pressure and salinity are often studied, achieving results with little unanimity; other possible factors are left somewhat unexplored. One such factor is the effect of contamination. In the present study, the effects of adding a non-aqueous organic contaminant, ethanol, on the CO2–water interfacial tension (IFT) and the CO2/water/calcite contact angle were investigated using molecular dynamics simulations. Within the conditions studied, relatively small amounts of ethanol cause a significant decrease in the CO2–water IFTs, as well as a pronounced increase in the water-calcite-CO2 three phase contact angle. The latter result is due to the decrease of the IFT between CO2 and water and the strong adsorption of ethanol on the solid substrate. These findings could be helpful for explaining how impurities can affect experimental data and could lead to effective carbon sequestration strategies.
Among other risks associated with CCS, possible CO2 leakage – be it naturally occurring via faults and fractures in the rock, or via man-made structures such as faulty bore holes – could have negative consequences. Zwaan et al.4 suggested that CCS is essentially ineffective as a climate change mitigation option when the CO2 leakage rate is as high as 1% per year. Therefore, the success of containment strategies relies on the trapping mechanisms which are highly influenced by wettability characteristics of geologic minerals in the presence of aqueous brines and injected CO2. Wettability of a rock surface can be assessed by the three-phase (CO2–water–rock) contact angle, expressed by the Young's equation as:5
![]() | (1) |
In eqn (1), γS1 and γS2 are the surface tensions of the two fluids (water and CO2, sometimes at supercritical conditions, respectively) against the solid surface (calcite), while γ12 is the interfacial tension between the two fluids. For completeness, it should be noted that Makkonen recently suggested that interpreting the Young equation in terms of surface energies enables one to reconcile experimental observations such as the pinning of a contact line and the deformation of a solid substrate.6 Regarding the wettability of rock surfaces, several authors have reported that the contact angles can be controlled by factors such as surface roughness and/or chemical heterogeneity,7–9 pressure and temperature,10–14 and salinity.13,15 One additional parameter, commonly overlooked and frequently difficult to control, is the possible presence of impurities. Although CO2 is often processed before transport and storage to separate impurities, small amounts of other chemicals can remain.16,17 Many flue gas impurities can arise from industry and everyday life, such as N2, O2, Ar, NOx species (e.g., NO and NO2), sulphur species (e.g., H2S, SO2), alkali metal salts (e.g., KCl and K2SO4), and hydrocarbons (e.g., CH4 and C2H6).18,19 Understanding the impact of these impurities is of vital importance to the safety of operations as well as to control the cost of transport and storage of the captured CO2. Of particular relevance, it is known that various chemical species can affect both interfacial tension (IFT) and wettability.20–24 Using molecular dynamics (MD) simulations, Chen et al.20 studied the effects of adding CH4, Ar, and H2S to CO2 on the interfacial tension and wettability of the CO2/water/silica system at 20 MPa and 318 K. They found that Ar increases the CO2–water IFT, whereas H2S reduces it. Adding CH4 to CO2 has no significant effect on the IFT. On the other hand, the water contact angle increases when H2S is mixed with CO2, while Ar and CH4 decrease the water contact angle. Saraji et al.23 experimentally measured IFT and dynamic contact angles for CO2/brine/quartz systems at different pressures (13.79–27.58 MPa), temperatures (323–373 K), and salinities (0.2–5 M). They reported that increasing the SO2 amount in the system reduced the IFT between CO2 and brine, while quartz wettability was not affected.
Among other possible impurities, we concentrate here on ethanol, because this compound is expected to be surface active, and because CO2 from ethanol production facilities has increased significantly as more ethanol is utilised as a transportation fuel or mixed with gasoline.25,26 CO2 emitted from ethanol plants is of high purity (∼99% by volume), however, ethanol can remain as an impurity in the CO2 flue gas stream.25 The question we address is whether ethanol can affect interfacial properties of relevance to CCS. Because of computing power limitations, we consider small, yet notable ethanol concentrations in our systems. Although these concentrations could reflect the progressive accumulation of ethanol within a formation, it is recognised that the effects on both IFT and contact angle depend on ethanol concentration.
In our previous study,27 we simulated the CO2/water/calcite system comparing the contact angle predicted when different force fields were implemented. When the force field proposed by Xiao et al.28 was implemented to describe water–calcite interactions, the resultant water contact angle was very low, suggesting complete water wetting in the presence of CO2. On the other hand, when the force field parameters proposed by Raiteri et al.29 and Silvestri et al.30 were implemented, we found a contact angle of ∼46° for water surrounded by CO2 on the calcite surface, at 323 K and 20 MPa. The wide variation in the simulated results mirrors the variation reported experimentally. For example, Wang et al.13 reported a contact angle of ∼26.2° at 323 K and 20 MPa, while Arif et al.31 measured water contact angles as high as 80–90° at the same conditions. However, we note that it is generally expected that the calcite system is strongly water wet.32 Because of the large variation of contact angles observed experimentally, we could not conclude which, out of the two force fields tested for describing calcite, was more realistic. To further assess the reliability of the two force fields, Ali et al.33 investigated the structure of the hydration layer on calcite. Both force fields consistently yield a dense first hydration layer and predict similar distributions of aqueous electrolytes near the surface. Such predictions were found in agreement, within statistical uncertainty, with experimental data, suggesting that both force fields are acceptable for describing the calcite-water interface. However, it should be noted that, to facilitate the description of multi-component systems, Ali et al. implemented a parameterisation of the Raiteri et al. force field in which Buckingham potentials were fitted to reproduce Lennard-Jones potentials. This parameterisation, presented by Shen et al.,34 was found to reproduce hydration free energies of Ca2+ and CO32− ions, as well as the structure of interfacial water.
It is recognised that disagreement in the experimental data could be due to many effects, including the presence of impurities such as organics that might affect the contact angles, or the dissolution of calcite under acidic environment formed by the injection of CO2. Of note, the dissolution rates of calcite in CO2-saturated water were found to increase with temperature (323–373 K) and pressure (6.0–13.8 MPa).35 We decided not to include dissolution reactions, which could lead to changes in the calcite surface morphology. For computational reasons, we could not include the presence of common hydrated carbonates in the fluid system. While the effect of these approximations should be quantified in the future, the objective of this work is to test whether relatively small amounts of ethanol could lead to larger contact angles when the force field proposed by Xiao et al. is implemented to describe calcite. This force field was chosen because it yields complete water wetting at the conditions set for the simulations, a condition that follows expectations.32 Should it be confirmed that impurities could have a major effect on the measured contact angle for the CO2/water/calcite system, the need of synergistic experimental-computational studies for securing progress in this field would be reinforced, given the importance of wetting properties on designing carbon sequestration strategies. The remainder of this manuscript is organized as follows. In Section 2, we describe the simulation methods and algorithms implemented. In Section 3, we present the MD simulation results, starting from the prediction of IFT, followed by the wettability studies. We then summarize our main findings in the Conclusions, Section 4.
The optimized potential for liquid simulation in the all atom form (OPLS-AA) was implemented to describe ethanol.37–39 To be consistent with our previous study,27 the simple point charge extended (SPC/E) model40 and the flexible version of the EPM2 model of Cygan et al.41 were used to describe water and CO2, respectively.
In all simulations, non-bonded dispersive interactions were described implementing the 12-6 Lennard-Jones (LJ) potential. The LJ parameters for all unlike interactions were determined by applying Lorentz–Berthelot mixing rules.42 The electrostatic interactions were modelled by the Coulombic potential, with the long-range corrections treated using the particle mesh Ewald method (PME).43 A cut-off distance of 12 Å was used for all interatomic interactions.
To predict the IFT, we performed NPT simulations of 3000 water molecules, 2000 CO2 molecules and various numbers of ethanol molecules (i.e., 100 and 200) placed in a XYZ box of size 48.57 × 50 × 100 Å3. The liquid water film was aligned parallel to the XY plane.
To study calcite wettability, we simulated systems in which a cylindrical water droplet, periodic along the X direction of the simulation box, was placed on the calcite surface and then surrounded by the other fluids (e.g., CO2 and ethanol). In our previous study,27 the contact angle for pure water droplet on calcite was found to be size-dependent for small amounts of water molecules. It converged to a certain value for large droplets. To generate droplets that are large enough, we first performed NVT simulations for 4000 water molecules placed on the calcite surface. Subsequent simulations were conducted in the NPT ensemble, wherein the pressure was controlled in the direction perpendicular to the calcite surface, to extract the values for the three-phase contact angles.
The number of water molecules in the simulated systems was determined as a compromise between accuracy and computational cost. Although the formation of a hemi-cylindrical as opposed to hemi-spherical water droplet allows our system not to be affected by the line tension, prior studies show that simulated contact angles tend to change with the droplet size (especially for hemi-spherical droplets).27,44 However, the larger the system size, the more the computational cost. The system considered here (initial droplet radius ∼40 Å) is similar in size to the one considered in our previous work, allowing for reasonable comparison. The X, Y, and Z dimensions of the simulation box were 48.57, 270, and 120 Å, respectively. The solid substrate was parallel to the X and Y directions, while the solid–fluid interface was set perpendicularly to the Z direction. The Y and Z directions were chosen to be large enough to prevent interactions between periodic images of the simulated systems. The final hemi-cylindrical configuration of the droplet was then simulated in the presence of 14000 CO2 and various numbers of ethanol molecules. In this set up, the fluid phase compositions for each system simulated are provided in Table 1. It is worth noting that the ratio between CO2 and H2O water molecules considered is expected to be consistent with realistic scenarios encountered near the wellbore during CO2 injection for CCS. There are recommended maximum levels of impurities in CO2 streams for the purpose of CO2 capture, transport and geological storage.45 Although it is possible that some of these impurities accumulate within a formation, it should be recognised that in our simulations, relatively high concentrations of ethanol in CO2 (∼4–9 wt%) were used, because of computational limitations. It is expected that the effects documented here will vary as the ethanol concentration changes.
System | Number of molecules | ||
---|---|---|---|
H2O | CO2 | Ethanol | |
S0 | 4000 | 14![]() |
0 |
S1 | 4000 | 14![]() |
500 |
S2 | 4000 | 14![]() |
850 |
S3 | 4000 | 14![]() |
1200 |
For contact angle simulations, NPT simulations were conducted at 323K and 20
MPa. To maintain the kinetic energy distribution between solid and fluid,52 the temperature of calcite and that of the fluid were controlled separately using two Nosé–Hoover thermostats. The droplet shape did not change within a simulation time of 40 ns. Each simulation was repeated three times to assess the reliability of the results. Contact angles were extracted from two-dimensional density profiles of water following the procedure of de Ruijter et al.53 The contact angle was calculated every 2 ns during the last 6 ns of each simulation.
To complement the contact angle simulations, we quantified the effect of ethanol on the CO2/water interfacial tension. The simulation set up for these calculations is shown in Fig. 1. We performed the simulations of the CO2/water and (CO2 + ethanol)/water interfacial systems at selected P and T conditions representative of geological CS.54 A series of MD simulations were conducted at temperatures of 323 K over a pressure range of 5–50 MPa. All simulations were carried out for up to 24 ns at each pressure and temperature. The systems reached thermodynamic equilibrium within a simulated time of 20 ns. The trajectories of the last 4 ns of the simulations were used for further analysis presented in Section 3.1. Each simulation was repeated five times to assess the reliability of the results. After equilibration, two thermodynamically stable phases in the simulation box were separated by an interface perpendicular to the Z axis, as shown in Fig. 1. Therefore, the IFT between fluid phases was evaluated from the expression of pressure tensor as follows:55
![]() | (2) |
In eqn (2), Lz is the box length in Z direction, Pzz is the interface-normal pressure component, Pxx and Pyy are the interface-parallel pressure components.
![]() | ||
Fig. 2 Interfacial tension of the CO2/water and (CO2 + ethanol)/water systems as a function of pressure at 323 K. The green symbols represent the experimental interfacial tension of ethanol + water against the mole fraction of ethanol at 323 K, as reported by Vázquez et al.59 Error bars represent one standard deviation from the average. |
Fig. 2 also shows the IFT data upon the addition of ethanol at 323 K. Our results show that the CO2–water IFT decreases significantly with increasing ethanol content. This is consistent with the experimental data reported by Vázquez et al.,59 which show that the surface tension of aqueous solutions of ethanol decreased as the alcohol concentration increased at a given temperature (Fig. 2). We note that our simulations predict that the IFT does not change significantly at pressures above 20 MPs, as was the case for the water–CO2 IFT.
To further investigate the effects of ethanol on the IFT, we calculated the density profiles of all the compounds in the systems in the Z direction. Selected results are shown in Fig. 3. It can be seen that the density of ethanol increases significantly at the surface of water, compared to the bulk water, indicating its preferential adsorption at the water surface, which reduces the IFT. Our results are somewhat similar with observations reported by Chen et al.20 They found that the interfacial tension of the (CO2 + H2S)/water system is smaller than that of the CO2/water system due to a significant increase of H2S density at the water surface. We conclude that our results are qualitatively comparable to those of Chen et al. because both ethanol and H2S molecules are hydrophilic and tend to accumulate at the CO2–water interface.
![]() | ||
Fig. 5 2D density distributions of water oxygen atoms averaged over the final 2 ns of simulations conducted at 323 K and 20 MPa for systems (a) S1, (b) S2, and (c) S3 on the calcite surface (see Table 1 for system composition). The colour bar shows density in the units of 1/Å3. |
In Fig. 6, we illustrate the procedure implemented to extract contact angle results from 2D atomic density profiles, using as example a water droplet in the presence of CO2. The predicted contact angles are summarized in Table 2. In addition to ethanol reducing the IFT between CO2 and water, which are described in Fig. 2, the strong adsorption of ethanol molecules onto the calcite surface also contributes to the simulated contact angle changes. Because the simulation snapshots of Fig. 4 suggest that ethanol preferentially adsorbs at the calcite–CO2 interface, both γS2 (between calcite and CO2) and γ12 (between water and CO2) decrease, but the effect on the former seems to be larger than that on the latter, leading to the changes in the three-phase contact angle. Although quantification of the solid–fluid surface energy is not attempted here, for completeness we refer to Grzelak and Errington,62,63 who showed how to implement the grand canonical matrix Monte Carlo approach for such investigations.
![]() | ||
Fig. 6 Top: 2D density distribution of water oxygen atoms averaged over the final 2 ns of simulation conducted for system S3 at 323 K and 20 MPa (see Table 1). Bottom: Illustration of the procedure implemented to extract the water contact angle. |
System | Contact angle |
---|---|
S0 | ∼0° |
S1 | 27.8° ± 2.2° |
S2 | 41.2° ± 2.2° |
S3 | 46.4° ± 2.7° |
To gain further insights into the adsorption behaviour of fluids near the calcite surface, we examined the density profiles of water and ethanol as a function of the vertical distance. The results are shown in Fig. 7. The water density profiles were calculated along the axis passing through the centre of the droplet. The results show that ethanol molecules formed a monolayer strongly adsorbed to the calcite surface at the calcite–water interface. This is supported by the planar density distributions obtained for the O atoms of ethanol in the plane perpendicular to the droplet, shown in Fig. 8. In Fig. 7, the hydrogen, oxygen, ethyl, and methyl peaks are formed at 1.87, 2.32, 3.37, and 4.57 Å from the calcium atoms in the surface, respectively. The atomic density profiles indicate that ethanol molecules orient their OH groups toward the surface, while they extend their methyl groups toward the CO2 phase. These results are consistent with experimental observations reported by Bovet et al.,64 who found that alcohols (e.g., methanol, ethanol, t-butanol and pentanol) form a compact, well-ordered monolayer on the calcite surface with their OH bonds oriented toward and the carbon chains pointing away from the surface.
![]() | ||
Fig. 9 Snapshots of H2O droplets on calcite in the presence of (a) pure CO2, and (b) CO2 + 1200 ethanol molecules. The simulations are conducted at 323 K and 20 MPa, implementing the parameterisation proposed by Shen et al.34 to describe calcite. |
To support the direct simulation of the contact angle, which was interpreted based on the Young equation, we also simulated the interfacial tensions (IFT) for CO2/H2O and (CO2 + ethanol)/H2O systems at 323 K over a pressure range of 5–50 MPa. The results show that ethanol reduces the CO2/H2O IFT because it preferentially accumulates at the CO2/water interfaces. Our IFT results are in good agreement with previously reported MD simulations in the whole range of conditions tested, albeit the agreement with experiments is acceptable only up to 15–20 MPa.
To compare against experimental observations, the contact angle simulations were conducted only at 323 K and 20 MPa. At these conditions, complete wetting behaviour of the calcite surface by water was observed in the presence of pure CO2. The addition of ethanol makes the calcite surface less water wet. The water contact angle increases up to ∼46° in the presence of 1200 ethanol molecules (which corresponds to 9 wt% with respect to CO2). Analysis of the simulation trajectories shows that ethanol does not adsorb at the water–calcite interface, while it accumulates at the CO2–calcite interface. This suggests that, even though ethanol reduces the CO2/water interfacial tension, the reduction of the CO2/calcite surface energy is much more pronounced, leading to an increase in the three-phase contact angle for the simulated system. When a different force field was implemented to describe calcite, the simulation results remained qualitatively consistent with the physical description just provided, although the simulation results also suggest that the force field implemented to describe interactions between calcite and fluid mixtures need to be further improved. Nevertheless, the results presented here suggest that the presence of impurities could explain, in part, the disagreement between experiments for the wetting properties of minerals in the presence of CO2 and brines. Our observations could aid the design of effective carbon sequestration strategies, as controlling the amount of impurities present in the system could allow practitioners to adjust the wetting properties as required to promote CO2 penetration within a geological formation as opposed to CO2 trapping, depending on the situation.
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