2009, 28(2) 242-248 DOI:     ISSN: 1004-5589 CN: 22-1111/P

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Keywords
interpolation
undulate topography
numerical modeling
finite-difference
Authors
ZHANG Dong-Liang
SUN Jian-Guo
SUN Zhang-Qiang
PubMed
Article by Zhang, D. L.
Article by Sun, J. G.
Article by Sun, Z. Q.

Numerical modeling of DC electrical field interpolation on two dimension undulate topography

ZHANG Dong-Liang1,2, SUN Jian-Guo1,2, SUN Zhang-Qiang1,2

1. College of Geoexploration Science and Technology, Jilin University, Changchun 130026, China; 2. Laboratory for Integrated Geophysical Interpretation Theory of Ministry for Land and Resources, Changchun 130026, China

Abstract��

This paper proposes a new method of finite-difference numerical modeling using interpolation to achieve boundary condition. Surface function can fit the true shape of geographywell through 3 times spline interpolation. The interpolation method of surface boundary condition is to find a point in the normal line of surface which is located in its same equipotential line, and sets up discrete equation through the interpolation by around points. Irregular quadrilateral distance weighted interpolation is used to make interpolation models unified. Comparative analysis of numerical solution and analytical solution in level surface shows that the calculation accuracy of thismethod is qualified, and the result of examp le calculation for valley model shows resistivity and topography as mirror symmetric.

Keywords�� interpolation   undulate topography   numerical modeling   finite-difference  
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