两相多组分流的Galerkin有限元解法  

Galerkin methods for two phase multi-components flow in porous media

作　　者：席开华[1] 任永强[1] 程爱杰[1] 陈国[2] 邵振波[2] 韩培慧[2] 

机构地区：[1]山东大学数学学院,山东济南250100 [2]大庆油田勘探开发研究院,黑龙江大庆163712

出　　处：《山东大学学报（理学版）》2009年第12期6-13,共8页Journal of Shandong University(Natural Science)

摘　　要：考虑多孔介质中两相多组分不可压缩不混溶驱动问题,给出了描述该问题的数学模型,包含椭圆型压力方程,对流扩散型饱和度方程和组分浓度方程,采用标准Galerkin有限元方法,给出了半离散格式,并利用先验误差估计理论得出了最优H1模误差估计。The mathematical model for describing two phase incompressible immiscible displacement flow with multi-components in porous media is considered.A global formulation of the governing equations,including pressure,saturation and concentration equations is constructed.For the system,a semi-discrete scheme is formulated by the standard Galerkin method and the optimal H1 error estimate is derived.

关 键 词：多组分不混溶流动 GALERKIN有限元 半离散格式 误差估计 

分 类 号：O241.82[理学—计算数学]