Mathemtical Model and Numerical Method for Spontaneous Potential Log in Heterogeneous Formations

PAN Ke-jia; TAN Yong-ji; HU Hong-ling

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(2): 203-212

PAN Ke-jia, TAN Yong-ji, HU Hong-ling. Mathemtical Model and Numerical Method for Spontaneous Potential Log in Heterogeneous Formations[J]. Applied Mathematics and Mechanics, 2009, 30(2): 203-212.

Citation:

PAN Ke-jia, TAN Yong-ji, HU Hong-ling. Mathemtical Model and Numerical Method for Spontaneous Potential Log in Heterogeneous Formations[J]. Applied Mathematics and Mechanics, 2009, 30(2): 203-212.

Citation:

PAN Ke-jia, TAN Yong-ji, HU Hong-ling. Mathemtical Model and Numerical Method for Spontaneous Potential Log in Heterogeneous Formations[J]. Applied Mathematics and Mechanics, 2009, 30(2): 203-212.

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Mathemtical Model and Numerical Method for Spontaneous Potential Log in Heterogeneous Formations

1.
School of Mathematical Sciences, Fudan University, Shanghai 200433, P. R. China;

Received Date: 2008-06-17
Rev Recd Date: 2008-12-03
Publish Date: 2009-02-15

Abstract

Abstract

A new spontaneous potential log model for the case when formation resistivity is not piecewise constant was introduced. The spontaneous potential satisfies an elliptic boundary value problem with jump conditions on interfaces. It was proved that the elliptic interface problem has a unique weak solution. lluthemwre, a jump ooaidition capturing finite difference scheme was proposed and applied to solve such elliptic problems. The validity and effectiveness of the proposed method were demonstrated through numerical examples.
- spontaneous potential log,
- elliptic interface problems,
- mathematical model,
- numerical simulation

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References(14)

References

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