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Mathematical Problems in Engineering
Volume 2014, Article ID 890516, 9 pages
http://dx.doi.org/10.1155/2014/890516
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.

Linked References

  1. I. d'Erceville and G. Kunetz, “The effect of a fault on the Earths natural electromagnetic field,” Geophysics, vol. 27, pp. 651–665, 1962. View at Google Scholar
  2. E. Haber, U. M. Ascher, D. A. Aruliah, and D. W. Oldenburg, “Fast simulation of 3D electromagnetic problems using potentials,” Journal of Computational Physics, vol. 163, no. 1, pp. 150–171, 2000. View at Publisher · View at Google Scholar · View at Scopus
  3. R. L. Mackie, T. R. Madden, and P. E. Wannamaker, “Three-dimensional magnetotelluric modeling using difference equations—theory and comparisons to integral equation solutions,” Geophysics, vol. 58, no. 2, pp. 215–226, 1993. View at Publisher · View at Google Scholar · View at Scopus
  4. R. L. Mackie and T. R. Madden, “Conjugate direction relaxation solutions for 3-D magnetotelluric modeling,” Geophysics, vol. 58, no. 7, pp. 1052–1057, 1993. View at Publisher · View at Google Scholar · View at Scopus
  5. J. T. Smith, “Conservative modeling of 3-D electromagnetic fields, part I: properties and error analysis,” Geophysics, vol. 61, no. 5, pp. 1308–1318, 1996. View at Publisher · View at Google Scholar · View at Scopus
  6. S. C. Ting and G. W. Hohmann, “Integral equation modeling of three-dimensional magnetotelluric response,” Geophysics, vol. 46, no. 2, pp. 182–197, 1981. View at Publisher · View at Google Scholar · View at Scopus
  7. P. E. Wannamaker, G. W. Hohmann, and W. A. Sanfilipo, “Electromagnetic modeling of three-dimensional bodies in layered earths using integral equations,” Geophysics, vol. 49, no. 1, pp. 60–74, 1984. View at Publisher · View at Google Scholar · View at Scopus
  8. Z. Xiong, “Electromagnetic magnetotelluric modeling of 3-D structures by the method of system iteration using integral equations,” Geophysics, vol. 57, no. 11, pp. 1556–1561, 1992. View at Google Scholar
  9. M. S. Zhdanov and V. V. Spichak, Mathematical Modeling of Electromagnetic Fields in Three-Dimensional Inhomogeneous Media, Nauka Publishing House, Moscow, Russia, 1992.
  10. X. Shizhe, The Infinite Element Methods in Geophysics, Science Press, Beijing, China, 1994.
  11. X. Shizhe, R. Baiyao, Zhouhui et al., “3-D terrain effects on magnetotelluric (MT) numerical simulations,” Science in China D, vol. 27, no. 1, pp. 15–20, 1997. View at Google Scholar
  12. C. Xiaobin, Z. Guoze, and M. Xiao, “Research on inversion of MT 3-D modal approximately by 1-D, 2-D inversion method,” Chinese Journal of Engneering Geophysics, vol. 3, no. 1, pp. 9–15, 2006. View at Google Scholar
  13. H. Zuzhi and H. Xiangyun, “Review of three-dimensional magnetotelluric inversion methods,” Progress in Geophysics, vol. 20, no. 1, pp. 214–220, 2005. View at Google Scholar
  14. B. Ruan, S. Xu, and Z. Xu, “Modeling the 3D terrain effect on MT by the boundary element method,” Earth Science—Journal of China University of Geosciences, vol. 32, no. 1, pp. 130–134, 2007. View at Google Scholar · View at Scopus
  15. T. Handong, T. Tuo, L. Changhong et al., “Magnetotelluric three-Dimensional modeling using the staggered-grid finite difference method,” Chinese Journal of Geophysics, vol. 46, no. 5, pp. 705–711, 2006. View at Google Scholar
  16. Y. Shu and M. Chen, “Finite element solution of 3-D geo-electric models in frequency magnetotelluric sounding excited by a horizontal electric dipole,” Coal Geology & Exploration, vol. 28, no. 3, pp. 50–56, 2000. View at Google Scholar
  17. Y. Mitsuhata and T. Uchida, “3D magnetotelluric modeling using the T-Ω finite-element method,” Geophysics, vol. 69, no. 1, pp. 108–119, 2004. View at Publisher · View at Google Scholar · View at Scopus
  18. H. Linping and D. Shikun, “Finite element calculation method of 3-D magnetotelluric field under complex condition,” Journal of China University of Geosciences, vol. 27, no. 6, pp. 775–779, 2002. View at Google Scholar
  19. M. J. Nam, H. J. Kim, Y. Song, T. J. Lee, J. Son, and J. H. Suh, “3D magnetotelluric modelling including surface topography,” Geophysical Prospecting, vol. 55, no. 2, pp. 277–287, 2007. View at Publisher · View at Google Scholar · View at Scopus
  20. F. I. Zyserman and J. E. Santos, “Parallel finite element algorithm with domain decomposition for three-dimensional magnetotelluric modelling,” Journal of Applied Geophysics, vol. 44, no. 4, pp. 337–351, 2000. View at Publisher · View at Google Scholar · View at Scopus
  21. R. Yoshimura and N. Oshiman, “Edge-based finite element approach to the simulation of geoelectromagnetic induction in a 3-D sphere,” Geophysical Research Letters, vol. 29, no. 3, pp. 1039–1045, 2002. View at Google Scholar · View at Scopus
  22. T. Mogi, “Three-dimensional modeling of magnetotelluric data using finite element method,” Journal of Applied Geophysics, vol. 35, no. 2-3, pp. 185–189, 1996. View at Google Scholar · View at Scopus
  23. H. A. van der Vorst, “BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems,” SIAM Journal on Scientific and Statistical Computing, vol. 13, no. 2, pp. 631–644, 1992. View at Publisher · View at Google Scholar · View at MathSciNet
  24. M. Lifeng, W. Xuben, and G. Yongcai, “The probability tomography results of MT and the improved methods,” Geophysical Prospecting for Petroleum, vol. 43, no. 6, pp. 612–616, 2004. View at Google Scholar
  25. X. Shi, J. Wang, S. Zhang, and X. Hu, “Multiscale genetic algorithm and its application in magnetotelluric sounding data inversion,” Chinese Journal of Geophysics, vol. 43, no. 1, pp. 122–130, 2000. View at Google Scholar · View at Scopus
  26. W. Song, “Three-dimensional Fourier transformation migration method of magnetotelluric data and its application,” Journal of the University of Petroleum China, vol. 29, no. 4, pp. 21–25, 2005. View at Google Scholar · View at Scopus
  27. W. Wei, Y. Peng, and C. Liping, “Magneto-electrotelluric full frequency segment migration imaging technique and its application,” Small Hydrocarbon Reservisions, vol. 12, no. 2, pp. 25–28, 2007. View at Google Scholar