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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 464793, 12 pages
http://dx.doi.org/10.1155/2015/464793
Research Article

Three-Dimensional Induced Polarization Parallel Inversion Using Nonlinear Conjugate Gradients Method

Huan Ma,1,2 Handong Tan,1,2 and Yue Guo3

1Key Laboratory of Geo-Detection, China University of Geosciences, Ministry of Education, Beijing 100083, China
2School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China
3Exploratory Drilling Corporation Well Logging Company, Daqing, Heilongjiang 163000, China

Received 19 March 2015; Accepted 27 April 2015

Academic Editor: Sergio Preidikman

Copyright © 2015 Huan Ma 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. M. Dabas, A. Tabbagh, and J. Tabbagh, “3-D inversion in subsurface electrical surveying—I. Theory,” Geophysical Journal International, vol. 119, no. 3, pp. 975–990, 1994. View at Publisher · View at Google Scholar · View at Scopus
  2. W. R. Petrick Jr., W. R. Will, and S. H. Ward, “Three-dimensional resistivity inversion using alpha centers,” Geophysics, vol. 46, no. 8, pp. 1148–1162, 1981. View at Publisher · View at Google Scholar · View at Scopus
  3. Y. Li and D. W. Oldenburg, “Inversion of 3-D DC resistivity data using an approximate inverse mapping,” Geophysical Journal International, vol. 116, no. 3, pp. 527–537, 1994. View at Publisher · View at Google Scholar · View at Scopus
  4. D. W. Oldenburg and Y. Li, “Inversion of induced polarization data,” Geophysics, vol. 59, no. 9, pp. 1327–1341, 1994. View at Publisher · View at Google Scholar · View at Scopus
  5. X. P. Wu, “Rapid 3-D inversion of induced polarization data using conjugate gradient method,” Coal Geology & Exploration, vol. 23, no. 5, pp. 62–64, 2004 (Chinese). View at Google Scholar
  6. P. S. Pacheco and Q. N. Deng, An Introduction to Parallel Programming, China Machine Press, Beijing, China, 2013 (Chinese).
  7. Z. X. Chen, X. H. Meng, G. F. Liu, and L. H. Guo, “The GPU-based parallel calculation of gravity and magnetic anomalies for 3D arbitrary bodies,” Geophysical & Geochemical Exploration, vol. 36, no. 1, pp. 117–121, 2012 (Chinese). View at Google Scholar
  8. Z. X. Chen, X. H. Meng, L. H. Guo, and G. F. Liu, “Three-dimensional fast forward modeling and the inversion strategy for large scale gravity and gravimetry data based on GPU,” Chinese Journal of Geophysics, vol. 55, no. 12, pp. 4069–4077, 2012 (Chinese). View at Google Scholar
  9. R. Farber, CUDA Application Design and Development, China Machine Press, Beijing, China, 1st edition, 2013, (Chinese).
  10. A. Dey and H. F. Morrison, “Resistivity modelling for arbitrarily shaped two-dimensional structures,” Geophysical Prospecting, vol. 27, no. 1, pp. 106–136, 1979. View at Publisher · View at Google Scholar · View at Scopus
  11. H. O. Seigel, “Mathematical formulation and type calves for induced polarization,” Geophysics, vol. 24, no. 3, pp. 547–565, 1959. View at Publisher · View at Google Scholar
  12. 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. 12, pp. 631–644, 1992. View at Publisher · View at Google Scholar · View at MathSciNet
  13. Y. Saad, “ILUT: a dual threshold incomplete ILU factorization,” Numerical Linear Algebra with Applications, vol. 1, no. 4, pp. 387–402, 1994. View at Publisher · View at Google Scholar · View at MathSciNet
  14. K. Spitzer, “A 3-D finite-difference algorithm for DC resistivity modelling using conjugate gradient methods,” Geophysical Journal International, vol. 123, no. 3, pp. 903–914, 1995. View at Publisher · View at Google Scholar · View at Scopus
  15. W. Rodi and R. L. Mackie, “Nonlinear conjugate gradients algorithm for 2-D magnetotelluric inversion,” Geophysics, vol. 66, no. 1, pp. 174–187, 2001. View at Publisher · View at Google Scholar · View at Scopus