Approximate sensitivities for the electromagnetic inverse problem

Geophysical Journal International

Volumn 126, Issue 1, 1996, Pages 235-252

  Farquharson, C G ^a   Oldenburg, D W ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Electromagnetic methods; Fr chet derivatives; Inversion; Magnetotellurics

Indexed keywords

ELECTROMAGNETIC METHOD; GREEN'S FUNCTION; INVERSION; MAGNETOTELLURIC DATA;

EID: 0030468608     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.1996.tb05282.x     Document Type: Article

References (27)

1. Allumbaugh, D.L. & Morrison, H.F., 1995. Theoretical and practical considerations for crosswell electromagnetic tomography assuming a cylindrical geometry, Geophysics, 60, 846-870.
2. Anderson, W.L., 1979. Numerical intergration of related Hankel transforms of orders 0 and 1 by adaptive digital filtering, Geophysics, 44, 1287-1305.
3. deGroot-Hedlin, C. & Constable, S., 1990. Occam's inversion to generate smooth, two-dimensional models for magnetotelluric data, Geophysics, 55, 1613-1624.
4. Ellis, R.G., Farquharson, C.G. & Oldenburg, D.W., 1993. Approximate inverse mapping inversion of the COPROD2 Data, J. Geomag. Geoelectr., 45, 1001-1012.
5. Gradshteyn, I.S. & Ryzhik, I.M., 1994. Table of Integrals, Series, and Products, 5th edn, Academic Press, Boston, MA.
6. Gupta, P.K., Raiche, A.P. & Sugeng, F., 1989. Three-dimensional time-domain electromagnetic modelling using a compact finite-element frequency-stepping method, Geophys. J. Int., 96, 457-468.
7. Hohmann, G.W., 1988. Numerical modeling for electromagnetic methods of geophysics, in Electromagnetic Methods in Applied Geophysics, Vol. 1, pp. 313-363, ed. Nabighian, M.N., Soc. Expl. Geophys., Tulsa, OK.
8. Jupp, D.L.B. & Vozoff, K., 1975. Stable iterative methods for the inversion of geophysical data, Geophys. J. R. astr. Soc., 42, 957-974.
9. Kaufman, A.A. & Keller, G.V., 1983. Frequency and Transient Soundings, Elsevier, Amsterdam.
10. Lee, K.H. & Morrison, H.F., 1984. A solution for TM-mode plane waves incident on a two-dimensional inhomogeneity, Lawrence Berkeley Lab., Rep. LBL-17857.
11. Mackie, R.L. & Madden, T.R., 1993. Three-dimensional magnetotelluric inversion using conjugate gradients, Geophys. J. Int., 115, 215-229.
12. Madden, T.R., 1972. Transmission system and network analogies to geophysical forward and inverse problems, Tech. Rep., 72-3, Department of Earth and Planetary Sciences, MIT.
13. Madden, T.R., 1990. Inversion of low frequency electromagnetic data, in Oceanographic and Geophysical Tomography, pp. 379-408, eds Desaubies, Y., Tarantola, A. & Vinn-Justin, J., Elsevier, Amsterdam.
14. Madden, T.R. & Mackie, R.L., 1989. Three-dimensional magnetotelluric modelling and inversion, Proc. Inst. Electron. Electric. Eng., 77, 318-333.
15. McGillivray, P.R. & Oldenburg, D.W., 1990. Methods for calculating Fréchet derivatives and sensitivities for the non-linear inverse problem: a comparative study, Geophys. Prospect., 38, 499-524.
16. McGillivray, P.R., Oldenburg, D.W., Ellis, R.G. & Habashy, T.M., 1994. Calculation of sensitivities for the frequency-domain electromagnetic problem, Geophys. J. Int., 116, 1-4.
17. Newman, G.A., Hohmann, G.W. & Anderson, W.L., 1986. Transient electromagnetic response of a three-dimensional body in a layered earth, Geophysics, 51, 1608-1627.
18. Oldenburg, D.W. & Ellis, R.G., 1993. Efficient inversion of magnetotelluric data in two dimensions, Phys. Earth planet. Inter., 81, 177-200.
19. Oldenburg, D.W., McGillivray, P.R. & Ellis, R.G., 1993. Generalised subspace methods for large scale inverse problems, Geophys. J. Int., 114, 12-20.
20. Oristaglio, M.L. & Worthington, M.H., 1980. Inversion of surface and borehole electromagnetic data for two-dimensional electrical conductivity models, Geophys. Prospect., 28, 633-657.
21. Park, S.K., 1987. Inversion of magnetotelluric datas for multidimensional structure, Inst. Geophys. planet. Phys., Rep.87/6, University of California, San Diego, CA.
22. Sena, A.G. & Toksöz, M.N., 1990. Simultaneous reconstruction of permittivity and conductivity for crosshole geometries, Geophysics, 55, 1302-1311.
23. Smith, J.T. & Booker, J.R., 1991. Rapid inversion of two- and three-dimensional magnetotelluric data, J. geophys. Res., 96, 3905-3922.
24. Unsworth, M.J. & Oldenburg, D.W., 1995. Subspace inversion of electromagnetics data - application to mid-ocean ridge exploration, Geophys. J. Int., 123, 161-168.
25. Unsworth, M.J., Travis, B.J. & Chave, A.D., 1993. Electromagnetic induction by a finite electric dipole source over a 2-D earth, Geophysics, 58, 198-214.
26. Ward, S.H. & Hohmann, G.W., 1988. Electromagnetic theory for geophysical applications, in Electromagnetic Methods in Applied Geophysics, Vol. 1, pp. 131-311, ed. Nabighian, M.N., Soc. Expl. Geophys., Tulsa, OK.
27. Weidelt, P., 1975. Inversion of two-dimensional conductivity structures, Phys. Earth planet. Inter., 10, 282-291.