多孔介质二相驱动问题压力方程Galerkin方法后处理的特征有限元方法及其收敛性分析  

CHARACTERISTIC METHOD FOR TWO PHASE DISPLACEMENT IN POROUS MEDIA AND ITS CONVERGENCE ANALYSIS BASING ON THE POSTPROGRESSING OF FINITE ELEMENT METHOD FOR PRESSURE

作　　者：赵卫东[1] 

机构地区：[1]山东大学数学院,山东济南250100

出　　处：《山东大学学报（自然科学版）》2000年第1期1-7,共7页Journal of Shandong University(Natural Science Edition)

摘　　要：对多孔介质中二相驱动问题提出了一种新的数值解法 ,即用常规有限元方法求解压力方程 ,经后处理后 ,再用特征有限元方法解浓度方程 .该法不仅避免了用混合元法求解压力方程带来的困难 ,而且保持了特征有限元方法的优点 。A new modified characteristic finite element method to solve incompressible two phase displacement in porous media is proposed.In this method,standard finite element method defined on good domain partition is used to solve pressure,and after postprocessing,the concentration is solved by using a modified characteristic method.The merits of characteristic finite element methods are preserved and the optimal error estimates,which cold not be got by using standard finite element method,are obtained for the scheme. At the same time,piecewise finite element space can be used in this method.

关 键 词：二相驱动 有限元 多孔介质 GALERKIN法 压力方程 

分 类 号：TE357.4[石油与天然气工程—油气田开发工程] O241.82[理学—计算数学]