Mathematical model and numerical method for spontaneous potential log in heterogeneous formations

被引：0
|
作者：
Ke-jia Pan
Yong-ji Tan
Hong-ling Hu
机构：
[1] Fudan University,School of Mathematical Sciences
[2] Hunan Normal University,College of Mathematics and Computer Science
来源：
Applied Mathematics and Mechanics | 2009年 / 30卷
关键词：
spontaneous potential log; elliptic interface problems; mathematical model; numerical simulation; TN011; 35J25; 65N06; 35J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper introduces a new spontaneous potential log model for the case in which formation resistivity is not piecewise constant. The spontaneous potential satisfies an elliptic boundary value problem with jump conditions on the interfaces. It has been shown that the elliptic interface problem has a unique weak solution. Furthermore, a jump condition capturing finite difference scheme is proposed and applied to solve such elliptic problems. Numerical results show validity and effectiveness of the proposed method.
引用
收藏
页码：209 / 219
页数：10
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