多孔介质中两相可压缩可混溶驱动的GALERKIN方法Displacement of One Compressible Fluid by Another in a Porous Medium
陈春光
摘要(Abstract):
多孔介质中两相可压缩可混溶驱动问题由一对耦合的非线性方程来描述。Douglas在忽略弥散效应的情况下,讨论了该方程的半离散Galerkin求解方法,并得到了解的最优的L2模误差估计。文章讨论了在考虑弥散效应的情况下该方程的半离散Galerkin方法,并得到了饱和度方程解的最优L2模误差估计。
关键词(KeyWords): 可压缩可混溶驱动;弥散效应;GALERKIN方法;误差估计
基金项目(Foundation):
作者(Author): 陈春光
DOI: 10.16441/j.cnki.hdxb.2005.06.006
参考文献(References):
- [1]韩大匡,陈钦雷,闫存章.油藏数值模拟[M].北京:石油工业出版社,1993.
- [2]J DOUGLAS J R.Numerical method for a model for compressiblemiscible displacement in porous media[J].Math of Comp,1983,41(10):441-459.
- [3]J DOUGLAS J R.The Numerical Simulation of Miscible Displace-ment.Computational Methods in Nonlinear Mechanics[M].Ams-terdam:North-Holland,1980.
- [4]Clarlet PH G.The Finite Element Method for Elliptic Problems[M].Amsterdam:North-Holland,1980.
- [5]WHEELER M F.A prioriL2error estimates for Galerkin approxima-tions to parabolic partial differential equations[J].SIAM NumeAnal,1973,10:723-759.
- [6]SCOTT R.Optimal L∞estimates for the finite element method on ir-regular meshes[J].Math Comp,1976,30:681-697.
文章评论(Comment):
|
||||||||||||||||||
|
||||||||||||||||||