孔隙率与渗透率是多孔介质非常重要的属性参数，采用MRT LBM研究孔隙率损失与渗透率损失相关性以及同孔隙率异构孔隙对渗透率特性的影响。结果表明：当存在使孔隙率均匀变小的沉积、沉降或结焦等因素时，渗透率损失率是孔隙率损失率的2倍左右；同孔隙率异构多孔体中，渗透率有巨大差异；同孔隙率异构多孔体中最大孔喉最小孔喉比越大渗透率越小；同孔隙率多孔体中迂曲度越大渗透率越小。
Porosity and permeability are very important characters of a porous media.In this work, MRT LBM was used to study the pore structure influence on permeability and the porosity loss influence on permeability loss. Our simulation results are shown as follows. If there are some factors which cause even decreasing of porosity, such as that of depositing, sediment, and coking, the scope of permeability loss is larger than that of porosity loss. In same-porosity-different-structure (SPDS) porous media, there are extraordinary differences in permeability depending on their own pore structures.A larger ratio of max throat length to min throat length leads to a smaller permeability,and a larger tortuosity leads to a smaller permeability.
[1] Ergun S. Fluid flow through packed columns[J]. Chemical Engineering Progress, 1952, 48:89-94.
[2] Carman P C. Flow of gases through porous media[J]. Science, 1956, 124:1254-1255.
[3] Wang J Q, Zhao J F, Zhan Y, et al. Analysis of the effect of particle size on permeability in hydrate-bearing porous media using pore network models combined with CT[J]. Fuel, 2016,163:34-40.
[4] Gao Y, Zhang X X, Ramae P, et al. Calculating the anisotropic permeability of porous media using the lattice boltzmann method and X-ray computed tomography[J]. Transport Porous Media 2012, 92:457-472.
[5] Maarten V. Porosity, permeability and 3D fracture network characterization of dolomite reservoir rock samples[J]. Journal of Petroleum Science and Engineering, 2015, 127:270-285.
[6] 查露,栗晶,曹传胜,等. 三维颗粒群沉降的格子Boltzmann模拟[J]. 中国科学院大学学报, 2016, 33(2):240-246.
[7] Schaaf S A, Chambre P L. Flow of rarefied gases[M]. Aiche Journal, 2010, 8(3):293-297.
[8] Pan C, Luo L S, Miller CT. An evaluation of lattice boltzmann scheme for porous medium flow simulation[J]. Computers & Fluids, 2006, 35:898-909.
[9] Cho H J, Jeong N, Sung H J. Permeability of microscale fibrous porous media using the lattice Boltzmann method[J]. International Journal of Heat and Fluid Flow, 2013, 44:435-443.
[10] Cho H J, Jeong N, Sung H J. Permeability of microscale fibrous porous media using the lattice Boltzmann method[J]. International Journal of Heat & Fluid Flow, 2013, 44(12):435-443.
[11] Zou Q, He X. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model[J]. Physics of Fluids 1997, 9:1591-1597.
[12] Ghassemi A, Pak A. Pore scale study of permeability and tortuosity for flow through particulate media using Lattice Boltzmann method[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2011, 35:886-899.
[13] Bahman S, Pak A. Numerical investigation of the effects of porosity and tortuosity on soil permeability using coupled three-dimensional discrete-element method and lattice Boltzmann method[J]. Physical Review E, 2015, 91:053301.
