About this Journal Submit a Manuscript Table of Contents
International Journal of Geophysics
Volume 2013 (2013), Article ID 931876, 9 pages
http://dx.doi.org/10.1155/2013/931876
Research Article

3D DC Resistivity Inversion with Topography Based on Regularized Conjugate Gradient Method

School of Geosciences and Info-Physics, Central South University, Changsha 410083, China

Received 25 March 2013; Revised 30 July 2013; Accepted 21 August 2013

Academic Editor: Salvatore Piro

Copyright © 2013 Jian-ke Qiang et al. 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. J.-K. Qiang and Y.-Z. Luo, “The resistivity FEM numerical modeling on 3-D undulating topography,” Chinese Journal of Geophysics, vol. 50, no. 5, pp. 1606–1613, 2007 (Chinese). View at Scopus
  2. A. C. Tripp, G. W. Hohmann, and C. M. Swift Jr., “Two-dimensional resistivity inversion,” Geophysics, vol. 49, no. 10, pp. 1708–1717, 1984. View at Scopus
  3. S. K. Park and G. P. Van, “Inversion of pole-pole data for 3-D resistivity structure beneath arrays of electrodes,” Geophysics, vol. 56, no. 7, pp. 951–960, 1991. View at Scopus
  4. Y. Sasaki, “3-D resistivity inversion using the finite-element method,” Geophysics, vol. 59, no. 12, pp. 1839–1848, 1994. View at Scopus
  5. J. Zhang, R. L. Mackie, and T. R. Madden, “3-D resistivity forward modeling and inversion using conjugate gradients,” Geophysics, vol. 60, no. 5, pp. 1313–1325, 1995. View at Scopus
  6. M. H. Loke and R. D. Barker, “Practical techniques for 3D resistivity surveys and data inversion,” Geophysical Prospecting, vol. 44, no. 3, pp. 499–523, 1996. View at Scopus
  7. X. P. Wu and G. M. Xu, “Derivation and analysis of partial derivative matrix in resistivity 3-D inversion,” Oil Geophysical Prospecting, vol. 34, pp. 363–372, 1999.
  8. X.-P. Wu and G.-M. Xu, “Study on 3-D resistivity inversion using conjugate gradient method,” Chinese Journal of Geophysics, vol. 43, no. 3, pp. 420–427, 2000. View at Scopus
  9. X.-P. Wu, “3-D resistivity inversion under the condition of uneven terrain,” Chinese Journal of Geophysics, vol. 48, no. 4, pp. 932–936, 2005. View at Scopus
  10. H.-F. Liu, J.-X. Liu, R.-W. Guo, X.-K. Deng, and B.-Y. Ruan, “Efficient inversion of 3D IP data for continuous model with complex geometry,” Journal of Jilin University, vol. 41, no. 4, pp. 1212–1218, 2011. View at Scopus
  11. N. G. Papadopoulos, M.-J. Yi, J.-H. Kim, P. Tsourlos, and G. N. Tsokas, “Geophysical investigation of tumuli by means of surface 3D electrical resistivity tomography,” Journal of Applied Geophysics, vol. 70, no. 3, pp. 192–205, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. P. I. Tsourlos and R. D. Ogilvy, “An algorithm for the 3-D inversion of tomographic resistivity and induced polarisation data: preliminary results,” Journal of the Balkan Geophysical Society, vol. 2, pp. 30–45, 1999.
  13. J. G. Huang, B. Y. Ruan, and G. S. Bao, “Resistivity inversion on 3-D section based on FEM,” Journal of Central South University of Technology, vol. 35, pp. 295–299, 2004.
  14. T. Günther, C. Rücker, and K. Spitzer, “Three-dimensional modeling and inversion of dc resistivity data incorporating topography—II inversion,” Geophysical Journal International, vol. 166, no. 2, pp. 506–5517, 2006. View at Publisher · View at Google Scholar
  15. G. A. Oldenborger and P. S. Routh, “The point-spread function measure of resolution for the 3-D electrical resistivity experiment,” Geophysical Journal International, vol. 176, no. 2, pp. 405–414, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. A. Dey and H. F. Morrison, “Resistivity modeling for arbitrarily shaped three-dimensional structures,” Geophysics, vol. 44, no. 4, pp. 753–760, 1979. View at Scopus
  17. R. G. Ellis and D. W. Oldenburg, “The pole-pole 3-D DC-resistivity inverse problem: a conjugate- gradient approach,” Geophysical Journal International, vol. 119, no. 1, pp. 187–194, 1994. View at Scopus
  18. D. J. LaBrecque, M. Miletto, W. Daily, A. Ramirez, and E. Owen, “The effects of noise on Occam's inversion of resistivity tomography data,” Geophysics, vol. 61, no. 2, pp. 538–548, 1996. View at Scopus
  19. M.-J. Yi, J.-H. Kim, Y. Song, S.-J. Cho, S.-H. Chung, and J.-H. Suh, “Three-dimensional imaging of subsurface structures using resistivity data,” Geophysical Prospecting, vol. 49, no. 4, pp. 483–497, 2001. View at Publisher · View at Google Scholar · View at Scopus
  20. C. C. Pain, J. V. Herwanger, M. H. Worthington, and C. R. E. de Oliveira, “Effective multidimensional resistivity inversion using finite-element techniques,” Geophysical Journal International, vol. 151, no. 3, pp. 710–728, 2002. View at Publisher · View at Google Scholar · View at Scopus
  21. A. Pidlisecky, E. Haber, and R. Knight, “RESINVM3D: a 3D resistivity inversion package,” Geophysics, vol. 72, no. 2, pp. H1–H10, 2007. View at Publisher · View at Google Scholar · View at Scopus
  22. L. Marescot, S. P. Lopes, S. Rigobert, and A. G. Green, “Nonlinear inversion of geoelectric data acquired across 3D objects using a finite-element approach,” Geophysics, vol. 73, no. 3, pp. F121–F133, 2008. View at Publisher · View at Google Scholar · View at Scopus
  23. M. S. Zhdanov, Geophysical Inverse Theory and Regularization Problems, Elsevier, New York, NY, USA, 2002.