The seepage mechanics model comprises multiple nonlinearly coupled partial differential equations.In various applications,seepage mechanics problems exhibit distinct characteristics and the corresponding solution methods are also very different.This paper focuses on the representative mathematical models used in oil and gas reservoir development.It introduces the mathematical formulation and application characteristics of multiphase multicomponent seepage mechanics equations within porous media,along with efficient techniques for solving their discretized linear equation systems,including commonly employed preconditioning methods.Additionally,this study appropriately modifies standard test cases and evaluates the shared-memory parallel efficiency of these preconditioning methods.
关键词
渗流力学/达西方程/多孔弹性方程/不完全LU分解/代数多重网格法
Key words
seepage mechanics/Darcy equation/poroelasticity equation/incomplete LU decomposition/algebraic multigrid method
维普
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