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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 890516, 9 pages
Research Article

The Finite Element Numerical Modelling of 3D Magnetotelluric

1Key Laboratory of Earth Exploration and Information Techniques, Chengdu University of Technology, Ministry of Education, Chengdu 610059, China
2Institute of Geochemistry Chinese Academy of Sciences, Guiyang 550002, China

Received 24 March 2014; Revised 18 June 2014; Accepted 15 July 2014; Published 6 August 2014

Academic Editor: Davide Spinello

Copyright © 2014 Ligang Cao and Yun Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The ideal numerical simulation of 3D magnetotelluric was restricted by the methodology complexity and the time-consuming calculation. Boundary values, the variation of weighted residual equation, and the hexahedral mesh generation method of finite element are three major causes. A finite element method for 3D magnetotelluric numerical modeling is presented in this paper as a solution for the problem mentioned above. In this algorithm, a hexahedral element coefficient matrix for magnetoelluric finite method is developed, which solves large-scale equations using preconditioned conjugate gradient of the first-type boundary conditions. This algorithm is verified using the homogeneous model, and the positive landform model, as well as the low resistance anomaly model.