Evaluation of immiscible two-phase quasi-static displacement flow in rough fractures using LBM simulation: Effects of roughness and wettability
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Abstract
Roughness and wettability of the fracture surface have crucial effects on the two-phase flow properties in many applications involving fractured rock. The immiscible quasi-static displacement flow is widely concerned in porous media, but this phenomenon has been rarely explored in rough-walled fractures. In this study, based on fractal theory and a matched fracture model, three-dimensional fractures with different roughness surfaces and uniform aperture distribution are generated. The lattice Boltzmann-based multicomponent Shan-Chen model is employed to simulate the quasi-static drainage process under various wettability conditions through rough fractures. In fractures with greater roughness and stronger wettability, the displacement process is usually more unstable with more tortuous invasion fronts, which leads to larger entry pressure and displacement resistance. Accordingly, more residual saturation of the wetting phase and lower displacement efficiency occurs under the same capillary pressure. During the invasion process, because of the transverse and delaying development of displacement fronts, the frontmost position is sometimes almost unchanged, while the wetting phase saturation sharply decreases showing a “step-like” type curve. The residual capture patterns are generally divided into two types: “isolated trapping” capture located in areas with drastic undulations of surface, and “water film” capture adsorbed to the fracture surface. Stronger wettability induces more second captures due to the greater adsorption of wetting phase to the fracture wall. A continuous increase in capillary pressure has no apparent effect on the variation in wetting phase saturation when it is greater than the entry pressure, and the first corner on the left side of capillary pressure-wetting phase saturation curves is relatively sharp.
Document Type: Original article
Cited as: Zhou, X., Sheng, J., Ye, Z. Evaluation of immiscible two-phase quasi-static displacement flow in rough fractures using LBM simulation: Effects of roughness and wettability. Capillarity, 2024, 11(2): 41-52. https://doi.org/10.46690/capi.2024.05.02
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Al-Hashimi, O., Hashim, K., Loffill, E., et al. A comprehensive review for groundwater contamination and remediation: Occurrence, migration and adsorption modelling. Molecules, 2021, 26(19): 5913.
Al-Housseiny, T. T., Tsai, P. A., Stone, H. A. Control of interfacial instabilities using flow geometry. Nature Physics, 2012, 8(10): 747-750.
Babadagli, T., Raza, S., Ren, X., et al. Effect of surface roughness and lithology on the water-gas and water-oil relative permeability ratios of oil-wet single fractures. International Journal of Multiphase Flow, 2015a, 75: 68-81.
Babadagli, T., Ren, X., Develi, K. Effects of fractal surface roughness and lithology on single and multiphase flow in a single fracture: An experimental investigation. International Journal of Multiphase Flow, 2015b, 68: 40-58.
Bergslien, E., Fountain, J. The effect of changes in surface wettability on two-phase saturated flow in horizontal replicas of single natural fractures. Journal of Contaminant Hydrology, 2006, 88(3-4): 153-180.
Brown, S. R. Fluid flow through rock joints: The effect of surface roughness. Journal of Geophysical Research: Solid Earth, 1987, 92(B2): 1337-1347.
Cai, J., Chen, Y., Liu, Y., et al. Capillary imbibition and flow of wetting liquid in irregular capillaries: A 100-year review. Advances in Colloid and Interface Science, 2022, 304: 102654.
Cao, Y., Tang, M., Zhang, Q., et al. Dynamic capillary pressure analysis of tight sandstone based on digital rock model. Capillarity, 2020, 3(2): 28-35.
Chaaban, M., Heider, Y., Markert, B. Upscaling LBM-TPM simulation approach of Darcy and non-Darcy fluid flow in deformable, heterogeneous porous media. International Journal of Heat and Fluid Flow, 2020, 83: 108566.
Chang, C., Kneafsey, T. J., Wan, J., et al. Impacts of mixed-wettability on brine drainage and supercritical CO2 storage efficiency in a 2.5-D heterogeneous micromodel. Water Resources Research, 2020, 56(7): e2019WR026789.
Charkaluk, E., Bigerelle, M., Iost, A. Fractals and fracture. Engineering Fracture Mechanics, 1998, 61(1): 119-139.
Chen, Y., Fang, S., Wu, D., et al. Visualizing and quantifying the crossover from capillary fingering to viscous fingering in a rough fracture. Water Resources Research, 2017, 53(9): 7756-7772.
Chen, Y. F., Wu, D. S., Fang, S., et al. Experimental study on two-phase flow in rough fracture: Phase diagram and localized flow channel. International Journal of Heat and Mass Transfer, 2018, 122: 1298-1307.
Dou, Z., Zhou, Z., Sleep, B. E. Influence of wettability on interfacial area during immiscible liquid invasion into a 3D self-affine rough fracture: Lattice Boltzmann simulations. Advances in Water Resources, 2013, 61: 1-11.
Glass, R. J., Nicholl, M. J., Yarrington, L. A modified invasion percolation model for low-capillary number immiscible displacements in horizontal rough-walled fractures: Influence of local in-plane curvature. Water Resources Research, 1998, 34(12): 3215-3234.
Guiltinan, E. J., Santos, J. E., Cardenas, M. B., et al. Two-phase fluid flow properties of rough fractures with heterogeneous wettability: Analysis with lattice Boltzmann simulations. Water Resources Research, 2021, 57(1): e2020WR027943.
Guo, R., Dalton, L., Crandall, D., et al. Role of heterogeneous surface wettability on dynamic immiscible displacement, capillary pressure, and relative permeability in a CO2- water-rock system. Advances in Water Resources, 2022, 165: 104226.
Hao, L., Cheng, P. Lattice Boltzmann simulations of water transport in gas diffusion layer of a polymer electrolyte membrane fuel cell. Journal of Power Sources, 2010, 195(12): 3870-3881.
Holtzman, R., Segre, E. Wettability stabilizes fluid invasion into porous media via nonlocal, cooperative pore filling. Physical Review Letters, 2015, 115(16): 164501.
Hu, R., Zhou, C. X., Wu, D. S., et al. Roughness control on multiphase flow in rock fractures. Geophysical Research Letters, 2019, 46(21): 12002-12011.
Huang, H., Thorne, Jr. D. T., Schaap, M. G., et al. Proposed approximation for contact angles in Shan-and-Chen-type multicomponent multiphase lattice Boltzmann models. Physical Review E, 2007, 76(6): 066701.
Karpyn, Z. T., Grader, A. S., Halleck, P. M. Visualization of fluid occupancy in a rough fracture using micro-tomography. Journal of Colloid and Interface Science, 2007, 307(1): 181-187.
Landry, C. J., Karpyn, Z. T., Ayala, O. Relative permeability of homogenous-wet and mixed-wet porous media as determined by pore-scale lattice Boltzmann modeling. Water Resources Research, 2014, 50(5): 3672-3689.
Latt, J., Malaspinas, O., Kontaxakis, D., et al. Palabos: Parallel lattice Boltzmann solver. Computers & Mathematics with Applications, 2021, 81: 334-350.
Lenormand, R., Touboul, E., Zarcone, C. Numerical models and experiments on immiscible displacements in porous media. Journal of Fluid Mechanics, 1988, 189: 165-187.
Li, J., Li, X., Wu, K., et al. Thickness and stability of water film confined inside nanoslits and nanocapillaries of shale and clay. International Journal of Coal Geology, 2017, 179: 253-268.
Liu, H. H., Bodvarsson, G. S., Lu, S., et al. A corrected and generalized successive random additions algorithm for simulating fractional Levy motions. Mathematical Geology, 2004, 36: 361-378.
Liu, Y., Berg, S., Ju, Y., et al. Systematic investigation of corner flow impact in forced imbibition. Water Resources Research, 2022, 58(10): e2022WR032402.
Liu, Y., Cai, J., Sahimi, M., et al. A study of the role of microfractures in counter-current spontaneous imbibition by lattice Boltzmann simulation. Transport in Porous Media, 2020, 133: 313-332.
Ma, G., Ma, C., Chen, Y. An investigation of nonlinear flow behaviour along rough-walled fractures considering the effects of fractal dimensions and contact areas. Journal of Natural Gas Science and Engineering, 2022, 104: 104675.
Meng, Q., Cai, J. Recent advances in spontaneous imbibition with different boundary conditions. Capillarity, 2018, 1(3): 19-26.
Neuweiler, I., Sorensen, I., Kinzelbach, W. Experimental and theoretical investigations of drainage in horizontal rough-walled fractures with different correlation structures. Advances in Water Resources, 2004, 27(12): 1217-1231.
Pruess, K., Tsang, Y. W. On two-phase relative permeability and capillary pressure of rough-walled rock fractures. Water Resources Research, 1990, 26(9): 1915-1926.
Qiu, Y., Xu, K., Pahlavan, A. A., et al. Wetting transition and fluid trapping in a microfluidic fracture. Proceedings of the National Academy of Sciences of the United States of America, 2023, 120(22): e2303515120.
Santos, J. E., Gigliotti, A., Bihani, A., et al. MPLBM-UT: Multiphase LBM library for permeable media analysis. SoftwareX, 2022, 18: 101097.
Shan, B., Wang, P., Wang, R., et al. Molecular kinetic modelling of nanoscale slip flow using a continuum approach. Journal of Fluid Mechanics, 2022, 939: A9.
Shan, X., Chen, H. Lattice Boltzmann model for simulating flows with multiple phases and components. Physical review E, 1993, 47(3): 1815-1819.
Sheng, J., Huang, T., Ye, Z., et al. Evaluation of van Genuchten-Mualem model on the relative permeability for unsaturated flow in aperture-based fractures. Journal of Hydrology, 2019, 576: 315-324.
Tang, M., Zhan, H., Ma, H., et al. Upscaling of dynamic capillary pressure of two-phase flow in sandstone. Water Resources Research, 2019, 55(1): 426-443.
Trojer, M., Szulczewski, M. L., Juanes, R. Stabilizing fluid-fluid displacements in porous media through wettability alteration. Physical Review Applied, 2015, 3(5): 054008.
Wang, H., Cai, J., Su, Y., et al. Imbibition behaviors in shale nanoporous media from pore-scale perspectives. Capillarity, 2023, 9(2): 32-44.
Wang, H., Yuan, X., Liang, H., et al. A brief review of the phase-field-based lattice Boltzmann method for multi-phase flows. Capillarity, 2019, 2(3): 33-52.
Wang, L., Cardenas, M. B. Connecting pressure-saturation and relative permeability models to fracture properties: The case of capillary-dominated flow of supercritical CO2 and brine. Water Resources Research, 2018, 54(9): 6965-6982.
Yamabe, H., Tsuji, T., Liang, Y., et al. Lattice Boltzmann simulations of supercritical CO2-water drainage displacement in porous media: CO2 saturation and displacement mechanism. Environmental Science & Technology, 2015, 49(1): 537-543.
Yang, Z., Li, D., Xue, S., et al. Effect of aperture field anisotropy on two-phase flow in rough fractures. Advances in Water Resources, 2019, 132: 103390.
Yao, C., Shao, Y., Yang, J., et al. Effects of non-darcy flow on heat-flow coupling process in complex fractured rock masses. Journal of Natural Gas Science and Engineering, 2020, 83: 103536.
Ye, Z., Fan, X., Zhang, J., et al. Evaluation of connectivity characteristics on the permeability of two-dimensional fracture networks using geological entropy. Water Resources Research, 2021, 57(10): e2020WR029289.
Ye, Z., Liu, H. H., Jiang, Q., et al. Two-phase flow properties of a horizontal fracture: The effect of aperture distribution. Advances in Water Resources, 2015, 76: 43-54.
Ye, Z., Liu, H. H., Jiang, Q., et al. Two-phase flow properties in aperture-based fractures under normal deformation conditions: Analytical approach and numerical simulation. Journal of Hydrology, 2017, 545: 72-87.
Ye, Z., Yang, J. Experimental study of real-time temperature-dependent nonlinear deformation of sandstone. Fuel, 2023, 354: 129308.
Yi, J., Liu, L., Xia, Z., et al. Effects of wettability on relative permeability of rough-walled fracture at pore-scale: A lattice Boltzmann analysis. Applied Thermal Engineering, 2021, 194: 117100.
Zhang, T., Javadpour, F., Li, J., et al. Pore-scale perspective of gas/water two-phase flow in shale. SPE Journal, 2021, 26(2): 828-846.
Zhao, B., MacMinn, C. W., Juanes, R. Wettability control on multiphase flow in patterned microfluidics. Proceedings of the National Academy of Sciences of the United States of America, 2016, 113(37): 10251-10256.
Zhao, J., Kang, Q., Yao, J., et al. The effect of wettability heterogeneity on relative permeability of two-phase flow in porous media: A lattice Boltzmann study. Water Resources Research, 2018, 54(2): 1295-1311.
Zhou, Y., Guan, W., Zhao, C., et al. Spontaneous imbibition behavior in porous media with various hydraulic fracture propagations: A pore-scale perspective. Advances in Geo-Energy Research, 2023, 9(3): 185-197.
Zou, Q., He, X. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Physics of Fluids, 1997, 9(6): 1591-1598.
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