Authors
Qinjun Kang, Dongxiao Zhang, Shiyi Chen
Publication date
2002/11/21
Journal
Physical Review E
Volume
66
Issue
5
Pages
056307
Publisher
American Physical Society
Description
In this paper, we develop a unified lattice Boltzmann method for flow in multiscale porous media. This model not only can simulate flow in porous systems of various length scales but also can simulate flow in porous systems where multiple length scales coexist. Simulations of unidirectional steady flow through homogeneous and heterogeneous porous media both recover Darcy’s law when the effects of inertial forces and Brinkman correction may be negligible. Direct use of this model on the usual computational nodes, with zero resistance on void spaces and infinite resistance on solid walls, gives results that agree well with analytical solutions. Simulations performed on a fractured porous system show that the method presented here gives very good overall permeability values for the whole fractured system. A series of simulations is performed on a simplified fractured system. The results indicate that, when the …
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