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Start Over Topic boundary value problems Topic computer simulation Topic numerical analysis Publication Year Range Last 50 years Journal applied mathematics & mechanics

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

Author

Ke-jia Pan, Yong-ji Tan, and Hong-ling Hu

Subjects
*ELLIPTIC functions, *BOUNDARY value problems, *FINITE differences, *MATHEMATICAL models, *COMPUTER simulation, *NUMERICAL analysis
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2009
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