Three-dimensional quasi-linear electromagnetic inversion

Radio Science

Volumn 31, Issue 4, 1996, Pages 741-754

  Zhdanov, Michael S ^a,b   Fang, Sheng ^a,b  

^a UNIVERSITY OF UTAH   (United States)

^b UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHMS; FORWARD SCATTERING; GEOPHYSICS; INTEGRAL EQUATIONS; LINEAR EQUATIONS; REFLECTION; TENSORS; ALGORITHMS; APPROXIMATION THEORY; ELECTRIC CONDUCTIVITY; INVERSE PROBLEMS; MATHEMATICAL MODELS; THREE DIMENSIONAL;

ANOMALOUS CONDUCTIVITY; ELECTRICAL REFLECTIVITY; ELECTROMAGNETIC INVERSION; GEOLOGICAL STRUCTURES; LINEAR INVERSE PROBLEMS; NON-LINEAR INVERSE PROBLEM; THREEDIMENSIONAL (3-D); TIKHONOV REGULARIZATION;

INVERSE PROBLEMS; ELECTROMAGNETIC FIELD THEORY;

ELECTRICAL REFLECTIVITY TENSOR; QUASI BORN INVERSION; QUASI LINEAR APPROXIMATION; TIKHONOV REGULARIZATION;

EID: 0030192913     PISSN: 00486604     EISSN: None     Source Type: Journal    
DOI: 10.1029/96RS00719     Document Type: Article

References (28)

1. Berdichevsky, M. N., and M. S. Zhdanov, Advanced Theory of Deep Geomagnetic Sounding, Elsevier, New York, 1984.
2. Born, M., Optic, Springer-Verlag, New York, 1933.
3. Druskin, V., and L. Knizhnerman, Spectral approach to solving three-dimensional Maxwell's diffusion equations in the time and frequency domains, Radio Sci., 29 (4), 937-953, 1994.
4. Eaton, P. A., 3-D electromagnetic inversion using integral equations, Geophys. Prospect, 37, 407-426, 1989.
5. Habashy, T. M., R. W. Groom, and B. R. Spies, Beyond the Born and Rytov approximations: A nonlinear approach to electromagnetic scattering, J. Geophys. Res., 98 (B2), 1759-1775, 1993.
6. Hohmann, G. W. , Three-dimensional induced polarization and EM modeling, Geophysics, 40, 309-324, 1975.
7. Jupp, D. L. B., and K. Vozoff, Two-dimensional magnetotelluric inversion, Geophys. J. R. Astron. Soc., 50, 333-352, 1977.
8. Madden, T. R., and R. L. Mackie, Three-dimensional magnetotelluric modelling and inversion, Proc. IEEE, 77 (2), 318-332, 1989.
9. Newman, G. A., and D. L. Alumbaugh, 3-D massively parallel electromagnetic inversion, in PIERS Proceedings, p.324, Univ. of Wash., Seattle, 1995.
10. Oristaglio, M. L., and M. H. Worthington, Inversion of surface and borehole EM data for two-dimensional electrical conductivity models, Geophys. Prospect, 28, 633-657, 1980.
11. Smith, J .T., and J. R. Booker, Rapid inversion of two-and three-dimensional magnetotelluric data, J. Geophys. Res., 96 (B3), 3905-3922, 1991.
12. Tikhonov, A. N., and V. Y. Arsenin, Solution of Ill-Posed Problems, Wiley, New York, 1977.
13. Torres-Verdin, C. and T. M. Habashy, Rapid 2.5-dimensional forward modeling and inversion via a new nonlinear scattering approximation, Radio Sci., 29 (4), 1051-1079, 1994.
14. Torres-Verdin, C., and T. M. Habashy, Two-steps linear inversion, IEEE Trans. Antennas Propagat., 43 (4), 405-415, 1995a.
15. Torres-Verdin, C., and T. M. Habashy, An overview of the extended Born approximation as a nonlinear scattering approach, and its application to cross-well resistivity imaging, in PIERS Proceedings, p.321, Univ. of Wash., Seattle, 1995b.
16. Tripp, A. C., Group theoretic reduction of the EM impedance matrix for large-contrast symmetric prisms in a layered Earth, Pure Applied Geophys., 133, 127-147, 1990.
17. Tripp, A. C., and G. W. Hohmann, Three-dimensional EM cross-well inversion, IEEE Trans. Geosci. Remote Sens., 31, 121-126, 1993.
18. Wannamaker, P. E., Advances in 3-D magnetotelluric modeling using integral equations, Geophysics, 56, 1716-1728, 1991.
19. Weidelt, P., EM induction in three-dimensional structures, J. Geophys., 41, 85-109, 1975.
20. Xie, G., and K. H. Lee, Nonlinear inversion of 3-D electromagnetic data, in PIERS Proceedings, p.323, Univ. of Wash., Seattle, 1995.
21. Xiong, Z., EM modeling of three-dimensional structures by the method of system iteration using integral equations, Geophysics, 57, 1556-1561, 1992.
22. Xiong, Z. and A. Kirsch, Three-dimensional earth conductivity inversion, J. Comput. Appl. Math., 42 , 109-121, 1992.
23. Xiong Z., and A. C. Tripp, Scattering matrix evaluation using spatial symmetry in EM modeling, Geophys. J. Int., 114, 459-464, 1993.
24. Zhdanov, M. S., Regularization in inversion theory, tutorial, Colo. Sch. of Mines, Golden, 1993.
25. Zhdanov, M. S, and S. Fang, Quasi- linear approximation in 3-D EM modeling, Geophysics, 61 (3), 1996.
26. Zhdanov, M. S., and N. G. Golubev, Use of the finite functions method for the solution of the 2D inverse problem, J. Geomagn. Geoelectr., 35, 707-722, 1983.
27. Zhdanov, M. S., and G. Keller, The Geoelectrical Methods in Geophysical Exploration, 900 pp., Elsevier, New York, 1994.
28. Zhdanov, M. S., and I. M. Varentsov, Interpretation of local two-dimensional EM anomalies by formalized trial procedures, Geophys. J. R. Astron. Soc., 75, 623-638, 1983.