[1] SALATHIEL R A. Oil recovery by surface film drainage in mixed-wettability rocks[J]. Journal of Petroleum Technology, 1973, 25(10):1216-1224. [2] SCHEIBE T D, YANG X F, CHEN X Y, et al. A hybrid multiscale framework for subsurface flow and transport simulations[J]. Procedia Computer Science, 2015, 51:1098-1107. [3] BABAN D F, SEYMOUR L W. Control of tumor vascular permeability[J]. Advanced Drug Delivery Reviews, 1998, 34(1):109-119. [4] GUO Z L, ZHAO T S. Lattice Boltzmann model for incompressible flows through porous media[J]. Physical Review E:Statistical Nonlinear & Soft Matter Physics, 2002, 66(3 Pt 2B):036304. [5] INAMURO T, YOSHINO M, OGINO F. Lattice Boltzmann simulation of flows in a three-dimensional porous structure[J]. International Journal for Numerical Methods in Fluids, 1999, 29(7):737-748. [6] WANG H L, CHAI Z H, GUO Z L. Lattice Boltzmann simulation of gas transfusion in compact porous media[J]. Chinese Journal of Computational Physics, 2009, 26(03):389-395. [7] SHABRO V, TORRES-VERDÍN C, JAVADPOUR F, et al. Finite-difference approximation for fluid-flow simulation and calculation of permeability in porous media[J]. Transport in Porous Media, 2012, 94(3):775-793. [8] GERKE K M, VASILYEV R V, KHIREVICH S, et al. Finite-difference method Stokes solver (FDMSS) for 3D pore geometries:Software development, validation and case studies[J]. Computers & Geosciences, 2018, 114:41-58. [9] ZHU L H, GUO Z L. GPU accelerated lattice Boltzmann simulation of flow in porous media[J]. Chinese Journal of Computational Physics, 2015, 32(01):20-26. [10] KOPONEN A, KANDHAI D, HELL EACUTE E, et al. Permeability of three-dimensional random fiber webs[J]. Physical Review Letters, 1998, 80(4):716-719. [11] PAN C X, HILPERT M, MILLER C T. Pore-scale modeling of saturated permeabilities in random sphere packings[J]. Physical Review E:Statistical Nonlinear & Soft Matter Physics, 2001, 64(6 Pt 2):066702. [12] 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[J]. Water Resources Research, 2014, 50(5):3672-3689. [13] NIE X B, DOOLEN G D, CHEN S Y. Lattice-Boltzmann simulations of fluid flows in MEMS[J]. Journal of Statistical Physics, 2002, 107(1-2):279-289. [14] GUO Z L, SHI B C, ZHAO T S, et al. Discrete effects on boundary conditions for the lattice Boltzmann equation in simulating microscale gas flows[J]. Physical Review E, 2007, 76(5):056704. [15] PAN C X, LUO L S, MILLER C T. An evaluation of lattice Boltzmann schemes for porous medium flow simulation[J]. Computers & Fluids, 2006, 35(8):898-909. [16] JIANG H L, DOU Y H, XI Z C, et al. Microscopic choked flow for a highly compressible gas in porous media[J]. Journal of Natural Gas Science & Engineering, 2016, 35:42-53. [17] XU K. A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method[J]. Journal of Computational Physics, 2001, 171(1):289-335. [18] PRENDERGAST K H, XU K. Numerical hydrodynamics from gas-kinetic theory[J]. Journal of Computational Physics, 1993, 109(1):53-66. [19] XU K. A well-balanced gas-kinetic scheme for the shallow-water equations with source terms[J]. Journal of Computational Physics, 2002, 178(2):533-562. [20] TANG H Z, XU K. A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics[J]. Journal of Computational Physics, 2000, 165(1):69-88. [21] LIAN Y S, XU K. A Gas-kinetic scheme for multimaterial flows and its application in chemical reactions[J]. Journal of Computational Physics, 2000, 163(2):349-375. [22] LI Q B, FU S. A gas-kinetic BGK scheme for gas-water flow[J]. Computers & Mathematics with Applications, 2011, 61(12):3639-3652. [23] XU K, LUO J, CHEN S Z. A well-balanced kinetic scheme for gas dynamic equations under gravitational field[J]. Advances in Applied Mathematics & Mechanics, 2010, 2(2):200-210. [24] SU M D, XU K, GHIDAOUI M S. Low-speed flow simulation by the gas-kinetic scheme[J]. Journal of Computational Physics, 1999, 150(1):17-39. [25] XU K, LUI S H. Rayleigh-Bénard simulation using the gas-kinetic Bhatnagar-Gross-Krook scheme in the incompressible limit[J]. Phys Rev E:Stat Phys Plasmas Fluids Relat Interdiscip Topics, 1999, 60(1):464-470. [26] YUAN R F, ZHONG C W, ZHANG H. An immersed-boundary method based on the gas kinetic BGK scheme for incompressible viscous flow[J]. Journal of Computational Physics, 2015, 296:184-208. [27] CHEN S Z, XU K, LI Z H. Cartesian grid method for gas kinetic scheme on irregular geometries[J]. Journal of Computational Physics, 2016, 326:862-877. [28] CHEN S Z, JIN C Q, LI C B, et al. Gas-kinetic scheme with discontinuous derivative for low speed flow computation[J]. Journal of Computational Physics, 2011, 230(5):2045-2059. [29] BHATNAGAR P L, GROSS E P, KROOK M. A model for collision processes in gases I:Small amplitude processes in charged and neutral one-component systems[J]. Physical Review, 1954, 94(3):511-525. [30] MENG X H, GUO Z L. Multiple-relaxation-time lattice Boltzmann model for incompressible miscible flow with large viscosity ratio and high Péclet number[J]. Physical Review E:Statistical Nonlinear & Soft Matter Physics, 2015, 92(4-1):043305. [31] SANGANI A S, ACRIVOS A. Slow flow past periodic arrays of cylinders with application to heat transfer[J]. International Journal of Multiphase Flow, 1982, 8(3):193-206. [32] GROSFILS P, BOON J P, CHIN J, et al. Structural and dynamical characterization of Hele-Shaw viscous fingering[J]. Philosophical Transactions, 2004, 362(1821):1723. [33] BOEK E S, VENTUROLI M. Lattice-Boltzmann studies of fluid flow in porous media with realistic rock geometries[J]. Computers & Mathematics with Applications, 2010, 59(7):2305-2314. [34] PERRIN C L, SORBIE K S, TARDY P M J, et al. Micro-PIV:A new technology for pore scale flow characterization in micromodels[J]. EAGE SPE Europe, 2005, 94078(2005):933-940. |