A regularized three-dimensional magnetotelluric inversion with a minimum gradient support constraint

Geophysical Journal International

Volumn 189, Issue 1, 2012, Pages 296-316

  Zhang, Luolei ^a,b   Koyama, Takao ^a   Utada, Hisashi ^a   Yu, Peng ^b   Wang, Jialin ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b TONGJI UNIVERSITY   (China)

Author keywords

Electromagnetic theory; Geomagnetic induction; Inverse theory; Magnetotelluric; Numerical solutions

Indexed keywords

ELECTROMAGNETIC THEORIES; GEOMAGNETIC INDUCTION; INVERSE THEORY; MAGNETOTELLURIC; NUMERICAL SOLUTION;

ALGORITHMS; CONSTRAINT THEORY; ELECTRIC FIELDS; ELECTRIC PROPERTIES; FORWARD SCATTERING; GEOMAGNETISM; INVERSE PROBLEMS; ITERATIVE METHODS; MAGNETOTELLURICS;

THREE DIMENSIONAL;

ALGORITHM; ELECTROMAGNETIC METHOD; GEOELECTRIC FIELD; GEOMAGNETISM; INVERSE PROBLEM; MAGNETOTELLURIC METHOD; OPTIMIZATION;

EID: 84862803098     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2012.05379.x     Document Type: Article

References (36)

1. Avdeev, D.B., Kuvshinov, A.V., Pankratov, O.V. & Newman, G.A., 1997. High-performance three-dimensional electromagnetic modelling using modified Neumann series: wide-band numerical solution and examples, J. Geomag. Geoelectr., 49, 1519-1539.
2. Avdeev, D.B., Kuvshinov, A.V., Pankratov, O.V. & Newman, G.A., 2002. Three-dimensional induction logging problems, Part I: an integral equation solution and model comparisons, Geophysics, 67, 413-426.
3. Avdeev, D.B. & Avdeeva, A.D., 2009. 3D magnetotelluric inversion using a limited-memory quasi-Newton optimization, Geophysics, 74, F45-F57.
4. Cagniard, L., 1953. Theory of magnetotelluric method of geophysical prospecting, Geophysics, 18, 605-635.
5. Constable, S.C., Parker, R.L. & Constable, C.G., 1987. Occam's inversion: a practical algorithm for generating smooth models from electromagnetic sounding data, Geophysics, 52, 289-300.
6. deGroot-Hedlin, C. & Constable S., 1990. Occam's inversion to generate smooth, two-dimensional models from magnetotelluric data. Geophysics, 1990, 55, 1613-1624.
7. Farquharson, C.G., Oldenburg, D.W., Haber, E. & Shekhtman, R., 2002. Three-dimensional forward-modeling and inversion algorithms for magnetotelluric data, in Proceedings of the 16th Workshop on Electromagnetic Data, Santa Fe, New Mexico, pp. 16-22.
8. Fletcher, R., 1970. A new approach to variable metric algorithm, Comput. J., 13, 317-322.
9. Hautot, S., Single, R.T. & Watson, J., 2007. 3-D magnetotelluric inversion and model validation with gravity data for the investigation of flood basalts and associated volcanic rifted margins, Geophys. J. Int., 170, 1418-1430.
10. Kuvshinov, A.V., Avdeev, D.B., Pankratov, O.V. & Golyshev, S.A., 2002. Modelling electromagnetic fields in 3-D spherical earth using fast integral equation approach, in Three-dimensional Electromagnetics, pp. 43-54, eds Zhdanov, M., Wannamaker, P., Elsevier, Amsterdam.
11. Last, B.J. & Kubik, K., 1983. Compact gravity inversion, Geophysics, 48, 713-721.
12. Koyama, T., Shimizu, H. & Utada, H., 2002. Possible effects of lateral heterogeneity in the D'' layer on electromagnetic variations of core origin, Phys. Earth planet. Inter., 129, 99-116.
13. Mackie, R.L. & Madden, T.R., 1993. Three-dimensional magnetotelluric inversion using conjugate gradients, Geophys J. Int., 115, 215-229.
14. Newman, G.A. & Alumbaugh, D.L., 2000. Three-dimensional magnetotelluric inversion using non-linear conjugate gradients, Geophys. J. Int., 140, 410-424.
15. Pankratov, O.V., Avdeyev, D.B. & Kuvshinov, A.V., 1995. Electromagnetic field scattering in a heterogeneous Earth: a solution to the forward problem, Phys. Solid Earth, 31, 201-209.
16. Portniaguine, O. & Zhdanov, M.S., 1999. Focusing geophysical inversion images, Geophysics, 64, 874-887.
17. Portniaguine, O. & Zhdanov, M.S., 2002. 3-D magnetic inversion with data compression and image focusing, Geophysics, 67, 1532-1541.
18. Powell, M.J.D., 1976. Some global convergence properties of a variable metric algorithm for minimization without exact line searches, SIAM-AMS Proc., 9, 53-72.
19. Sasaki, Y., 2001. Full 3D inversion of electromagnetic data on PC, J. appl. Geophys., 46, 45-54.
20. Singer, B. Sh., 1995. Method for solution of Maxwell's equations in non-uniform media, Geophys. J. Int., 120, 590-598.
21. Singer, B.Sh. & Fainberg, E.B., 1999. Modelling of electromagnetic fields in thin heterogeneous layers with application to field generation by volcanoes-theory and example, Geophys. J. Int., 138, 125-145.
22. Siripunvaraporn, W., Egbert, G., Lenbury Y. & Uyeshima, M., 2005. Three-dimensional magnetotelluric inversion: data-space method, Phys. Earth planet. Int., 150, 3-14.
23. Smith J.T. & Booker J.R., 1991. Rapid inversion of two- and three-dimensional magnetotelluric data, J. Geophys. Res., 96, 3905-3922.
24. Spichak, V., Menville, M. & Roussignol, M., 1999. Three-dimensional inversion of the magnetotelluric fields using Bayesian statistics, in Three-Dimensional Electromagnetics, eds Spies, B. & Oristaglio, M., SEG Publications, Tulsa, OK, 406-417.
25. Spichak, V. & Popova, I., 2000. Artificial neural network inversion of magnetotelluric data in terms of three-dimensional earth macro-parameters, Geophys. J. Int., 142, 15-26.
26. Tikhonov, A.N., 1950. On the determination of the electrical characteristics of the deep structure of the Earth's crust, Dokl. Acad. Nauk. SSSR., 73, 295-297.
27. Tikhonov, A.N. & Arsenin, V.Y., 1977. Solution of Ill-Posed Problems, Winton and Sons, Washington DC.
28. Wannamaker, P.E., Hohmann, G.W. & SanFilipo, W.A., 1984. Electromagnetic modeling of three dimensional bodies in layered earths using integral equations, Geophysics, 49, 60-74.
29. Zhang, L.L., Yu, P., Wang, J.L. & Wu, J.S., 2009. Smoothest model and sharp boundary based two-dimensional magnetotelluric inversion, Chinese J. Geophys., 52, 1625-1632 (in Chinese with English abstract).
30. Zhang, L.L., Yu, P., Wang, J.L., Wu, J.S., Chen, X. & Li, Y., 2010. A study on 2D magnetotelluric sharp boundary inversion, Chinese J. Geophys., 53, 631-637.
31. Zhang, S. L., 1997. GPBi-CG: generalized product-type methods based on Bi-CG for solving nonsymmetric linear systems, SIAM J. Sci. Comput., 18, 537-551.
32. Zhdanov, M.S., Fang, S. & Hursan, G., 2000a. Electromagnetic inversion using quasi-linear approximation, Geophysics, 65, 1501-1513.
33. Zhdanov, M.S., Dmitriev, V.I., Fang, S., Hursan, G., 2000b. Quasi-analytical approximations and series in electromagnetic modeling, Geophysics, 65, 1746-1757.
34. Zhdanov, M. S., 2002. Geophysical Inverse Theory and Regularization Problems, Elsevier, Amsterdam.
35. Zhdanov, M.S., Ellis, R.G. & Mukherjee, S., 2004. Regularized focusing inversion of 3-D gravity tensor data, Geophysics, 69, 925-937.
36. Zhdanov, M.S., 2009. New advance in regularized inversion of gravity and electromagnetic data, Geophys. Pros., 57, 463-478.