摘要
本文讨论油藏模拟中描述多孔介质两相不可压非混溶流动的偏微分方程组 .压力方程用Galerkin方法 ,而对流占优的饱和度方程用一类部分迎风有限元法 .数值解满足离散的质量守恒原理 ,并以L∞(0 ,T ;L2 (Ω) )
Two-phase, immiscible in compressible flow in porous media governed by a system of non-linear partial differential equations arised from reservoir simulation is discussed. Galerkin method is applied for the pressure equation. For the convection-dominated saturation equation, a kind of partial upwind finite element scheme is constructed. The numerical solution got by this scheme satisfies the discrete mass conservation law and converges to the solution in norm L ∞(0,T;L 2(Ω)).
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2001年第4期34-42,共9页
Acta Scientiarum Naturalium Universitatis Nankaiensis
基金
NaturalScienceFoundationofChinaGrantNo .197710 5 0
