J4 ›› 2011, Vol. 41 ›› Issue (5): 1596-1604.

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Finite Element Method for Solving Anomalous Complex Potential of 2.5-D Complex Resistivity

LI Yong1, LIN Pin-rong1, LI Tong-lin2, WANG You-xue3, SHANG Xiao1   

  1. 1.Institute of Geophysical and Geochemical Exploration, Chinese Academy of Geological Science, Langfang065000,Hebei,China;
    2.College of GeoExploration Science and Technology, Jilin University, Changchun130026, China;
    3.Department of Resources and Environment Engineering, Guilin University of Technology, Guilin541004|Guangxi,China
  • Received:2010-11-22 Online:2011-09-26 Published:2011-09-26

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Abstract:

The computation technique of the finite-element forward modeling for 2.5-dimensional complex resistivity based on anomalous complex potential is described. The variational equations are established for 2D structure with 3D alternating two-point sources. The finite element method is used to solve the equations. The computing area is divided into rectangular elements, each of which is subdivided into four triangles by two diagonal lines. The complex potential and the complex conductivity of rocks within each triangular lattice are described by a linear interpolation to create a linear equation system from the variational equations. For a specific array, the linear equations are solved to calculate the anomalous complex potential at each node and the apparent complex resistivity on the surface. The feasibility of the algorithm is verified through the theoretical model calculation, and the computation results of different survey configurations are demonstrated.

Key words: finite element method, complex resistivity, Cole-Cole model, anomalous complex potential

CLC Number: 

  • P631.3
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