Journal of Jilin University(Earth Science Edition) ›› 2016, Vol. 46 ›› Issue (3): 884-892.doi: 10.13278/j.cnki.jjuese.201603302

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3D Finite Element Forward Modeling of Five-Pole Longitude Induced Polarization Sounding

Liu Haifei1,2, Liu Jie2, Gao Han2, Guo Rongwen1,2, Tong Xiaozhong1,2, Ma Changying2   

  1. 1. Hunan Key Laboratory of Nonferrous Resources and Geological Hazard Detection, Changsha 410083, China;
    2. School of Geosciences and InfoPhysics, Central South University, Changsha 410083, China
  • Received:2015-10-10 Online:2016-05-26 Published:2016-05-26
  • Supported by:

    Supported by the National Natural Science Foundation of China (41174102)

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Abstract:

The authors develop a three-dimensional(3D) finite element forward modeling method for five-pole longitude induced polarization (IP) soundingin this paper. Boundary value problems of the secondary potential field are derived from that of the primary potential field with the three-point current sources, it also proves the corresponding variation equation saccording to the boundary value problem of the secondary potential field. Then we solved the variation equations of the secondary potential field using a finite element method (FEM) based on a 3D continuous model of the electrical conductivity, specifically for five-pole longitude array. Finally, we calculate the induced polarization sounding curve with the five-pole longitude array based on the horizontal layered medium, the results show that the maximum relative error is less than 0.25% and the total computational time is about 18 seconds. Three examples indicate the accuracy and efficiency of the proposed algorithm, which will facilitate the application of the five-pole longitude IP sounding for complex geoelectrical structure, understanding of the IP sounding curve anomaly, and further carrying out the inversion.

Key words: five-pole longitude induced polarization sounding, 3D FEM forward modeling, boundary value problem, variation problem, secondary potential

CLC Number: 

  • P631.3

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