三维地电断面电阻率测深有限元数值模拟

阮百尧; 熊彬; 徐世浙

Volume 26 Issue 1

Jan. 2001

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RUAN Baiyao, XIONG Bin, XU Shizhe, 2001. FINITE ELEMENT METHOD FOR MODELING RESISTIVITY SOUNDING ON 3-D GEOELECTRIC SECTION. Earth Science, 26(1): 73-77.

Citation:

RUAN Baiyao, XIONG Bin, XU Shizhe, 2001. FINITE ELEMENT METHOD FOR MODELING RESISTIVITY SOUNDING ON 3-D GEOELECTRIC SECTION. Earth Science, 26(1): 73-77.

RUAN Baiyao, XIONG Bin, XU Shizhe, 2001. FINITE ELEMENT METHOD FOR MODELING RESISTIVITY SOUNDING ON 3-D GEOELECTRIC SECTION. Earth Science, 26(1): 73-77.

Citation:

RUAN Baiyao, XIONG Bin, XU Shizhe, 2001. FINITE ELEMENT METHOD FOR MODELING RESISTIVITY SOUNDING ON 3-D GEOELECTRIC SECTION. Earth Science, 26(1): 73-77.

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FINITE ELEMENT METHOD FOR MODELING RESISTIVITY SOUNDING ON 3-D GEOELECTRIC SECTION

1.
Department of Resources and Environment Engineering, Guilin Institute of Technology, Guilin 541004, China
2.
Department of Earth Science, Zhejiang University, Hangzhou 310027, China

Received Date: 2000-08-29
Publish Date: 2001-01-25

Abstract

Abstract

The finite element method is used for the numerical modeling of the resistivity sounding in a 3-D point-source electric field whose conductivities are homogeneous for each block. In this paper, the 3-D boundary value and variational equation concerning the point-source electrical field in the 3-D structure are both presented. Then the finite element method is used to solve the variational equation. The entire region is divided into many hexahedral units in each of which a trilinear function is interpolated. The variational equation is converted into a linear equation system. Finally the equation system is solved to obtain the potential value on each of the nodes, resulting in the calculation of the apparent resistivity on the ground surface. The test of several relatively typical geoelectric models shows that this finite element method is effective.
- resistivity sounding,
- 3-D geoelectric section,
- finite element method,
- homogeneous conductivity within each block

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References(4)

References

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