Journal of Jilin University(Earth Science Edition) ›› 2018, Vol. 48 ›› Issue (2): 411-419.doi: 10.13278/j.cnki.jjuese.20170061

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3-D Forward Method for Geomagnetic Depth Sounding Based on Finite Difference Method in Spherical Coordinate

Li Jianping, Weng Aihua, Li Shiwen, Li Dajun, Li Sirui, Yang Yue, Tang Yu, Zhang Yanhui   

  1. Collegeof GeoExploration Sciences and Technology, Jilin University, Changchun 130026, China
  • Received:2017-02-07 Online:2018-03-26 Published:2018-03-26
  • Supported by:
    Supported by National Key Scientific Instrument and Equipment Development Projects of China (2011YQ05006010)

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Abstract: In order to compute the global-scale electromagnetic induction responses, this paper introduces a 3-D forward method of the frequency domain geomagnetic depth sounding (GDS). The method is based on the Staggered-grid finite difference method (FDM) in spherical coordinate. The difference equations are derived from the integral form of Maxwell equations. The PARDISO Solver is used to solve the discrete equations to avoid the divergence correction of iterations. To validate our code, we compared the results to the solutions of the finite element method and FDM. The relative error between the finite difference numerical result of the three-dimensional staggered grid and the analytical solution is less than 5%. The accuracy of the two hemispheres model is also high enough. The calculation results of the three-dimensional checkerboard model show that the magnetic field components have a good resolution to the size and position of an abnormal body.

Key words: geomagnetic depth sounding, spherical coordinate, 3-D forward modeling, finite difference, geomagnetic response function

CLC Number: 

  • P631.2
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