Pseudopotential-based multiple-relaxation-time lattice Boltzmann model for multicomponent and multiphase slip flow

Wendong Wang, Qiuheng Xie, Han Wang, Yuliang Su, Sina Rezaei-Gomari

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Abstract


The microscale liquid flow in nanoscale systems considering slip boundary has been widely studied in recent years, however, they are limited to single-phase flow. As in nature, multicomponent and multiphase flows can also exist with non-zero slip velocities, such as oil/water slip flow in nanoporous shale. In this paper, a novel multicomponent-multiphase multiple-relaxation-time lattice Boltzmann method with a combinational slip boundary condition is developed to study the two-phase slip flow behaviors. The proposed combined slip boundary condition is derived from adjustments to the conventional diffusive Maxwell’s reflection and half-way bounce-back scheme boundary parameters, incorporating a compelled conservation requirement. With the analysis of simulations for the layer, slug, and droplet types of two-phase flow in single pores, and two-phase flow in porous media with complex wall geometry, it can be concluded that the proposed schemes of two-phase slip boundary conditions are particularly suitable for multicomponent and multiphase flow with a non-zero slip velocity. The proposed model can be used to determine relative permeability and simulate spontaneous imbibition in particular in shale reservoirs where those flow properties are hard-to-determine.

Document Type: Original article

Cited as: Wang, W., Xie, Q., Wang, H., Su, Y., Rezaei-Gomari, S. Pseudopotential-based multiple-relaxation-time lattice Boltzmann model for multicomponent and multiphase slip flow. Advances in Geo-Energy Research, 2023, 9(2): 106-116. https://doi.org/10.46690/ager.2023.08.04


Keywords


Slip boundary, multiphase flow, lattice Boltzmann method, combination parameter, diffusive Maxwell’s reflection

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References


Ansumali, S., Karlin, I. V. Kinetic boundary conditions in the lattice Boltzmann method. Physical Review E, 2002, 66(2): 026311.

Ba, Y., Liu, H., Li, Q., et al. Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio. Physical Review E, 2016, 94(2): 023310.

Berg, S., Cense, A. W., Hofman, J. P., et al. Two-phase flow in porous media with slip boundary condition. Transport in Porous Media, 2008, 74: 275-292.

Cui, R., Feng, Q., Chen, H., et al. Multiscale random pore network modeling of oil-water two-phase slip flow in shale matrix. Journal of Petroleum Science and Engineering, 2019, 175: 46-59.

Cui, Y., Wei, Q., Park, H., et al. Nanowire nanosensors for highly sensitive and selective detection of biological and chemical species. Science, 2001, 293(5533): 1289-1292.

Das, R., Ali, M. E., Hamid, S. B. A., et al. Carbon nanotube membranes for water purification: a bright future in water desalination. Desalination, 2014, 336: 97-109.

d’Humières, D., Ginzburg, I. Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to “magic” collision numbers. Computers & Mathematics with Applications, 2009, 58(5): 823-840.

Feng, Q., Xu, S., Xing, X., et al. Advances and challenges in shale oil development: A critical review. Advances in Geo-Energy Research, 2020, 4(4): 406-418.

Geng, J., Kim, K., Zhang, J., et al. Stochastic transport through carbon nanotubes in lipid bilayers and live cell membranes. Nature, 2014, 514(7524): 612-615.

Gharibi, F., Ashrafizaadeh, M. Darcy and inertial fluid flow simulations in porous media using the non-orthogonal central moments lattice Boltzmann method. Journal of Petroleum Science and Engineering, 2020, 194: 107572.

Gravelle, S., Joly, L., Detcheverry, F., et al. Optimizing water permeability through the hourglass shape of aquaporins. Proceedings of the National Academy of Sciences, 2013, 110(41): 16367-16372.

Gunstensen, A. K., Rothman, D. H., Zaleski, S., et al. Lattice Boltzmann model of immiscible fluids. Physical Review A, 1991, 43(8): 4320-4327.

Guo, Z., Shi, B., Zheng, C. Velocity inversion of micro cylindrical Couette flow: A lattice Boltzmann study. Computers & Mathematics with Applications, 2011, 61(12): 3519-3527.

Ham, S., Narayanan Nair, A. K., Sun, S., et al. Modulation of slippage at brine-oil interfaces by surfactants: The effects of surfactant density and tail length. Physics of Fluids, 2022, 34(2): 022106.

Lallemand, P., Luo, L. S. Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Physical Review E, 2000, 61(6): 6546-6562.

Li, Q., Luo, K. Thermodynamic consistency of the pseudopotential lattice Boltzmann model for simulating liquid-vapor flows. Applied Thermal Engineering, 2014, 72(1): 56-61.

Li, Q., Luo, K., Li, X. Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model. Physical Review E, 2013, 87(5): 053301.

Lim, C. Y., Shu, C., Niu, X. D., et al. Application of lattice Boltzmann method to simulate microchannel flows. Physics of Fluids, 2002, 14(7): 2299-2308.

Liu, Y., Berg, S., Ju, Y., et al. Systematic investigation of corner flow impact in forced imbibition. Water Resources Research, 2022, 58(10): e2022WR032402.

Mattia, D., Calabr`o, F. Explaining high flow rate of water in carbon nanotubes via solid-liquid molecular interactions. Microfluidics and Nanofluidics, 2012, 13(1): 125-130.

Nie, X., Doolen, G. D., Chen, S. Lattice-Boltzmann simulations of fluid flows in MEMS. Journal of Statistical Physics, 2002, 107: 279-289.

Parvan, A., Jafari, S., Rahnama, M., et al. Insight into particle retention and clogging in porous media; a pore scale study using lattice Boltzmann method. Advances in Water Resources, 2020, 138: 103530.

Reis, T., Phillips, T. N. Lattice Boltzmann model for simulating immiscible two-phase flows. Journal of Physics A: Mathematical and Theoretical, 2007, 40(14): 4033-4053.

Qin, X., Xia, Y., Qiao, J., et al. Modeling of multiphase flow in low permeability porous media: Effect of wettability and pore structure properties. Journal of Rock Mechanics and Geotechnical Engineering, 2023, in press, https://doi.org/10.1016/j.jrmge.2023.06.007.

Schmieschek, S., Harting, J. Contact angle determination in multicomponent lattice Boltzmann simulations. Communications in Computational Physics, 2011, 9(5): 1165-1178.

Seyyedattar, M., Zendehboudi, S., Butt, S. Molecular dynamics simulations in reservoir analysis of offshore petroleum reserves: A systematic review of theory and applications. Earth-Science Reviews, 2019, 192: 194-213.

Shan, X., Chen, H. Lattice Boltzmann model for simulating flows with multiple phases and components. Physical Review E, 1993, 47(3): 1815-1819.

Shan, X., Doolen, G. Multicomponent lattice-Boltzmann model with interparticle interaction. Journal of Statistical Physics, 1995, 81(1-2): 379-393.

Shin, S., Kim, A. R., Um, S. Computational prediction of nanoscale transport characteristics and catalyst utilization in fuel cell catalyst layers by the lattice Boltzmann method. Electrochimica Acta, 2018, 275: 87-99.

Succi, S. Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis. Physical Review Letters, 2002, 89(6): 064502.

Swift, M. R., Orlandini, E., Osborn, W. R., et al. Lattice Boltzmann simulations of liquid-gas and binary fluid systems. Physical Review E, 1996, 54(5): 5041-5052.

Szalmás, L. Slip-flow boundary condition for straight walls in the lattice Boltzmann model. Physical Review E, 2006, 73(6): 066710.

Tang, G., Tao, W., He, Y. Lattice Boltzmann method for gaseous microflows using kinetic theory boundary conditions. Physics of Fluids, 2005, 17(5): 058101.

Tao, S., Guo, Z. Boundary condition for lattice Boltzmann modeling of microscale gas flows with curved walls in the slip regime. Physical Review E, 2015, 91(4): 043305.

Tao, S., Zhang, H., Guo, Z. Drag correlation for micro spherical particles at finite Reynolds and Knudsen numbers by lattice Boltzmann simulations. Journal of Aerosol Science, 2017, 103: 105-116.

Verhaeghe, F., Luo, L. S., Blanpain, B. Lattice Boltzmann modeling of microchannel flow in slip flow regime. Journal of Computational Physics, 2009, 228(1): 147-157.

Wang, X., Li, J., Jiang, W., et al. Characteristics, current exploration practices, and prospects of continental shale oil in China. Advances in Geo-Energy Research, 2022, 6(6): 454-459.

Wang, H., Su, Y., Wang, W., et al. Relative permeability model of oil-water flow in nanoporous media considering multi-mechanisms. Journal of Petroleum Science and Engineering, 2019, 183: 106361.

Wang, W., Wang, H., Su, Y., et al. Simulation of liquid flow transport in nanoscale porous media using lattice Boltzmann method. Journal of the Taiwan Institute of Chemical Engineers, 2021, 121: 128-138.

Wang, K., Yang, L., Yu, Y., et al. Influence of slip boundary on the hydrofoil with a curved slip boundary condition for the lattice Boltzmann method. Physics of Fluids, 2018, 30(12): 123601.

Wu, K., Chen, Z., Li, J., et al. Wettability effect on nanoconfined water flow. Proceedings of the National Academy of Sciences of the United States of America, 2017, 114(13): 3358-3363.

Yang, J., Boek, E. S. A comparison study of multi-component Lattice Boltzmann models for flow in porous media applications. Computers & Mathematics with Applications, 2013, 65(6): 882-890.

Yang, Y., Shan, M., Kan, X., et al. Thermodynamic of collapsing cavitation bubble investigated by pseudopotential and thermal MRT-LBM. Ultrasonics Sonochemistry, 2020, 62: 104873.

Yang, L., Yu, Y., Hou, G., et al. Boundary conditions with adjustable slip length for the lattice Boltzmann simulation of liquid flow. Computers & Fluids, 2018, 174: 200-212.

Zachariah, G. T., Panda, D., Surasani, V. K. Lattice Boltzmann simulations for invasion patterns during drying of capillary porous media. Chemical Engineering Science, 2019, 196: 310-323.

Zacharoudiou, I., Boek, E. S., Crawshaw, J. The impact of drainage displacement patterns and Haines jumps on CO2 storage efficiency. Scientific Reports, 2018, 8(1): 15561.

Zhan, S., Su, Y., Jin, Z., et al. Study of liquid-liquid two-phase flow in hydrophilic nanochannels by molecular simulations and theoretical modeling. Chemical Engineering Journal, 2020, 395: 125053.

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.

Zhang, T., Javadpour, F., Yin, Y., et al. Upscaling water flow in composite nanoporous shale matrix using lattice Boltzmann method. Water Resources Research, 2020, 56(4): e2019WR026007.

Zhang, T., Li, X., Shi, J., et al. An apparent liquid permeability model of dual-wettability nanoporous media: A case study of shale. Chemical Engineering Science, 2018, 187: 280-291.

Zhang, T., Li, X., Sun, Z., et al. An analytical model for relative permeability in water-wet nanoporous media. Chemical Engineering Science, 2017a, 174: 1-12.

Zhang, Q., Su, Y., Wang, W., et al. Apparent permeability for liquid transport in nanopores of shale reservoirs: Coupling flow enhancement and near wall flow. International Journal of Heat and Mass Transfer, 2017b, 115: 224-234.

Zhang, C., Zhang, Q., Wang, W., et al. Capillary and viscous forces during CO2 flooding in tight reservoirs. Capillarity, 2022, 5(6): 105-114.

Zhao, W., Jia, C., Zhang, T., et al. Effects of nanopore geometry on confined water flow: A view of lattice Boltzmann simulation. Chemical Engineering Science, 2021, 230: 116183.

Zhao, J., Kang, Q., Yao, J., et al. Lattice Boltzmann simulation of liquid flow in nanoporous media. International Journal of Heat and Mass Transfer, 2018, 125: 1131-1143.

Zhao, J., Liu, Y., Qin, F., et al. Pore-scale fluid flow simulation coupling lattice Boltzmann method and pore network model. Capillarity, 2023, 7(3): 41-46.




DOI: https://doi.org/10.46690/ager.2023.08.04

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