1887
Volume 44, Issue 3
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

This paper presents a fast algorithm for electromagnetic data inversion to three-dimensional (3D) resistivity models. The algorithm is distinctive for the level of accuracy it attains while bypassing the sensitivity matrix update. A common sensitivity matrix for homogeneous half-space is used in all iterations. Instead of updating the sensitivity matrix, the smoothness filter coefficients at each model element are updated, based on the spatial variations in resistivity in the model derived from the latest iteration. This substitution is expected not only to reduce the computation time required for large-scale inversions, such as those for 3D surveys, but also to allow the resolution of sharp boundaries in resistivity structures. Our algorithm was applied to 3D magnetotelluric inversion in order to confirm its effectiveness. Using synthetic examples under several conditions, we demonstrated that the method can reduce the number of forward calculations required to reduce data misfits to noise level, and that the method is robust for constructing target models even with sharp boundaries without generating fatally false resistivity structures or boundaries under noisy conditions.

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/content/journals/10.1071/EG13026
2013-09-01
2026-01-18
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References

  1. Akaike, H., 1980, Likelihood and the Bayes procedure (with discussion), in J. M. Bernardo, M. M. De Groot, D. V. Lindley, and A. F. M. Smith, eds., Bayesian statistics: University Press (Valencia, Spain), 143–166.
  2. Avdeev D. B. Kuvshinov A. V. Pankratov O. V. Newman G. A. 1997 High-performance three-dimensional electromagnetic modeling using modified Neumann seriesa: wide-band numerical solution and examples Journal of Geomagnetism and Geoelectricity 49 1519 1539 10.5636/jgg.49.1519
    https://doi.org/10.5636/jgg.49.1519 [Google Scholar]
  3. Bjorck A. 1967 Solving linear least squares problems by Gram-Schmidt orthogonalization BIT Numerical Mathematics 7 1 21 10.1007/BF01934122
    https://doi.org/10.1007/BF01934122 [Google Scholar]
  4. de Groot-Hedlin C. Constable S. C. 1990 Occam’s inversion to generate smooth, two-dimensional models from magnetotelluric data Geophysics 55 1613 1624 10.1190/1.1442813
    https://doi.org/10.1190/1.1442813 [Google Scholar]
  5. de Groot-Hedlin C. Constable S. C. 2004 Inversion of magnetotelluric data for 2D structure with sharp resistivity contrasts Geophysics 69 78 86 10.1190/1.1649377
    https://doi.org/10.1190/1.1649377 [Google Scholar]
  6. Fujino S. 2002 GPBiCG (m, ℓ): a hybrid of BiCGSTAB and GPBiCG methods with efficiency and robustness Applied Numerical Mathematics 41 107 117 10.1016/S0168‑9274(01)00113‑1
    https://doi.org/10.1016/S0168-9274(01)00113-1 [Google Scholar]
  7. Kimura T. Goto T. Kasaya T. Okamoto T. Mikada H. Sanada Y. Watanabe T. Ashida Y. 2010 Two-dimensional inversion of magnetotelluric data with sharp structural boundary Butsuri Tansa 63 185 196
    [Google Scholar]
  8. Loke M. H. Barker R. D. 1996 Rapid least-squares inversion of apparent resistivity pseudosections by a quasi-Newton method Geophysical Prospecting 44 131 152 10.1111/j.1365‑2478.1996.tb00142.x
    https://doi.org/10.1111/j.1365-2478.1996.tb00142.x [Google Scholar]
  9. Mackie R. L. Smith J. T. Madden T. R. 1994 Three-dimensional electromagnetic modeling using finite difference equations: the magnetotelluric example Radio Science 29 923 935 10.1029/94RS00326
    https://doi.org/10.1029/94RS00326 [Google Scholar]
  10. Meijerink J. A. Van der Vorst H. A. 1981 Guidelines for the usage of incomplete decompositions in the solving sets of linear equations as they occur in practical problems Journal of Computational Physics 44 134 155 10.1016/0021‑9991(81)90041‑3
    https://doi.org/10.1016/0021-9991(81)90041-3 [Google Scholar]
  11. Ogawa Y. Uchida T. 1996 A two-dimensional magnetotelluric inversion assuming Gaussian static shift Geophysical Journal International 126 69 76 10.1111/j.1365‑246X.1996.tb05267.x
    https://doi.org/10.1111/j.1365-246X.1996.tb05267.x [Google Scholar]
  12. Sasaki Y. 1989 Two-dimensional joint inversion of magnetotelluric and dipole-dipole resistivity data Geophysics 54 254 262 10.1190/1.1442649
    https://doi.org/10.1190/1.1442649 [Google Scholar]
  13. Sasaki Y. 1994 3-D resistivity inversion using the finite element method Geophysics 59 1839 1848 10.1190/1.1443571
    https://doi.org/10.1190/1.1443571 [Google Scholar]
  14. Sasaki Y. 2001 Full 3-D inversion of electromagnetic data on PC Journal of Applied Geophysics 46 45 54 10.1016/S0926‑9851(00)00038‑0
    https://doi.org/10.1016/S0926-9851(00)00038-0 [Google Scholar]
  15. Sasaki Y. 2004 Three-dimensional inversion of static-shifted magnetotelluric data Earth, Planets, and Space 56 239 248
    [Google Scholar]
  16. Siripunvaraporn W. Egbert G. 2009 WSINV3DMT: vertical magnetic field transfer function inversion and parallel implementation Physics of the Earth and Planetary Interiors 173 317 329 10.1016/j.pepi.2009.01.013
    https://doi.org/10.1016/j.pepi.2009.01.013 [Google Scholar]
  17. Siripunvaraporn W. Egbert G. Lenbury Y. Uyeshima M. 2005 Three-dimensional magnetotelluric inversion: data space method Physics of the Earth and Planetary Interiors 150 3 14 10.1016/j.pepi.2004.08.023
    https://doi.org/10.1016/j.pepi.2004.08.023 [Google Scholar]
  18. Smith J. T. 1996 Conservative modeling of 3-D electromagnetic fields, Part II: biconjugate gradient solution and an accelerator Geophysics 61 1319 1324 10.1190/1.1444055
    https://doi.org/10.1190/1.1444055 [Google Scholar]
  19. Smith T. Hoversten M. Gasperikova E. Morrison F. 1999 Sharp boundary inversion of 2D magnetotelluric data Geophysical Prospecting 47 469 486 10.1046/j.1365‑2478.1999.00145.x
    https://doi.org/10.1046/j.1365-2478.1999.00145.x [Google Scholar]
  20. Uchida T. 1993 Smoothness-constrained 2D inversion for DC resistivity data by ABIC minimization method Butsuri Tansa 46 105 119
    [Google Scholar]
  21. Uchida T. Sasaki Y. 2006 Stable 3D inversion of MT data and its application to geothermal exploration Exploration Geophysics 37 223 230 10.1071/EG06223
    https://doi.org/10.1071/EG06223 [Google Scholar]
  22. Wannamaker P. E. 1991 Advances in three-dimensional magnetotelluric modeling using integral equations Geophysics 56 1716 1728 10.1190/1.1442984
    https://doi.org/10.1190/1.1442984 [Google Scholar]
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  • Article Type: Research Article
Keyword(s): inversion; magnetotelluric; smoothness; three-dimensional

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