Fast calculation of the sensitivity matrix for responses to the Earth's conductivity: General strategy and examples

Izvestiya, Physics of the Solid Earth

Volumn 46, Issue 9, 2010, Pages 788-804

  Pankratov, O V ^a   Kuvshinov, A V ^a,b  

^a PUSHKOV INSTITUTE OF TERRESTRIAL MAGNETISM   (Russian Federation)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956275418     PISSN: 10693513     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1069351310090089     Document Type: Article

References (18)

1. D. B. Avdeev and A. D. Avdeeva, "3D Magnetotelluric Inversion Using a Limited-Memory Quasi-Newton Optimization," Geophys. 74, 45-57 (2009).
2. T. G. Caldwell, H. M. Bibby, and C. Brown, "The Magnetotelluric Phase Tensor," Geophys. J. Int. 158, 457-469 (2004).
3. V. I. Dmitriev and M. N. Berdichevskii, "A Generalized Impedance Model," Fizika Zemli, No. 10, 106-112 (2002) [Izvestia, Phys. Solid Earth 38 (10), 897-904 (2002)].
4. O. Dorn, H. Bertete-Aquirre, J. G. Berryman, and G. C. Papanicolaou, "A Nonlinear Inversion Method for 3-D Electromagnetic Imaging Using Adjoint Fields," Inverse Probl. 15, 1523-1558 (1999).
5. E. Haber, "Quasi-Newton Methods for Large-Scale Electromagnetic Inverse Problems," Inverse Probl. 21, 305-323 (2005).
6. E. Haber, D. Oldenburg, and R. Shekhtman, "Inversion of 3D Time Domain Electromagnetic Data," Geophys. J. Int. 171, 550-564 (2007).
7. G. R. Jiracek, "Near-Surface and Topographic Distortions in Electromagnetic Induction," Surv. Geophys. 11, 163-203 (1990).
8. A. Kelbert, G. Egbert, and A. Schultz, "Non-Linear Conjugate Gradient Inversion for Global EM Induction: Resolution Studies," Geophys. J. Int. 173, 365-381 (2008).
9. Py. Koyama, "Possibility of Three-Dimensional Magnetotelluric (MT) Inversion by Using MT Phase Tensor data," in Proceedings of the 11th Scientific Assembly, August 23930, Sopron, Hungary, 2009.
10. R. L. Mackie and T. Madden, "Three-Dimensional Magnetotelluric Inversion Using Conjugate Gradients," Geophys. J. Int. 115, 215-229 (1993).
11. P. R. McGillivray, D. W. Oldenburg, R. G. Ellis, and T. M. Habashy, "Calculation od Sensitivities for the Frequency-Domain Electromagnetic Problem." Geophys. J. Int. 116, 1-4 (1994).
12. G. A. Newman and D. L. Alumbaugh, "Three-Dimensional Magnetotelluric Inversion Using Non-Linear Conjugate Gradients," Geophys. J. Int. 140, 410-424 (2000).
13. G. A. Newman and M. Commer, "New Advances in Three-Dimensional Transient Electromagnetic Inversion," Geophys. J. Int. 160, 5-32 (2005).
14. J. Nocedal and S. J. Wright, Numerical Optimization, 2nd ed. (Springer, Berlin, 2006).
15. L. Pellerin, J. M. Johnston, and G. W. Hohmann, "Three-Dimensional Inversion of Electromagnetic Data," in Proceedings of the 63rd Ann. Int. Meeting SEG, London, 1993, pp. 360â 363.
16. W. Rodi and R. L. Mackie, "Nonlinear Conjugate Gradients Algorithm for 2-D Magnetotelluric Inversion," Geophys. 66, 174-187 (2000).
17. V. S. Vladimirov, Generalized Functions in Mathematical Physics (Nauka, Moscow, 1979) [in Russian].
18. M. S. Zhdanov, The Theory of Inverse Problems and Regularization in Physics (Nauchnyi Mir, Moscow, 2007) [in Russian].