GODUNOV MIXED METHODS FOR IMMISCIBLE DISPLACEMENT

被引:14
作者
DAWSON, CN
机构
[1] Department of Mathematics, University of Chicago, Chicago, Illinois
关键词
Higher‐order Godunov method; Immiscible displacement; Mixed finite element method;
D O I
10.1002/fld.1650110609
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The immiscible displacement problem in reservoir engineering can be formulated as a system of partial differential equations which includes an elliptic pressure–velocity equation and a degenerate parabolic saturation equation. We apply a sequential numerical scheme to this problem where time splitting is used to solve the saturation equation. In this procedure one approximates advection by a higher‐order Godunov method and diffusion by a mixed finite element method. Numerical results for this scheme applied to gas–oil centrifuge experiments are given. Copyright © 1990 John Wiley & Sons, Ltd
引用
收藏
页码:835 / 847
页数:13
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