带溶质吸附的混溶驱动问题的Galerkin方法  

GALERKIN METHODS FOR MISCIBLE DISPLACEMENT WITH ADSORPTION IN POROUS MEDIA

作　　者：程爱杰[1] 

机构地区：[1]山东大学

出　　处：《计算数学》1999年第1期45-58,共14页Mathematica Numerica Sinica

基　　金：国家教委博士点基金;山东省自然科学基金

摘　　要：A priori error estimates for Galerkin method for numerical approximation ofthe coupled quasilinear system for c = c(x, t), p = p(x, t), cr = c.(x, t) given byfor x E fl,t E (O,T] are considered. Equations of this type arise in model forthe miscible displacement of one compressible fiuid by another with adsorption ofor orsolute in a porous medium. The cofficient D, which is a function of x, c, X -reflects moleculer diffusion and dispersion. Colltinuous-time Galerkin procedureis analysed. A new technique is illtroduced to establish the evolution inequlity oferror. The optimal error estimates in Lco(J; H1(Ω)) are presented.A priori error estimates for Galerkin method for numerical approximation ofthe coupled quasilinear system for c = c(x, t), p = p(x, t), cr = c.(x, t) given byfor x E fl,t E (O,T] are considered. Equations of this type arise in model forthe miscible displacement of one compressible fiuid by another with adsorption ofor orsolute in a porous medium. The cofficient D, which is a function of x, c, X -reflects moleculer diffusion and dispersion. Colltinuous-time Galerkin procedureis analysed. A new technique is illtroduced to establish the evolution inequlity oferror. The optimal error estimates in Lco(J; H1(Ω)) are presented.

关 键 词：溶质吸附 GALERKIN方法 混溶驱动 三次采油 

分 类 号：TE357.46[石油与天然气工程—油气田开发工程] O241.82[理学—计算数学]