Impedances for induction soundings of the Earth's mantle

Acta Geophysica

Volumn 58, Issue 4, 2010, Pages 527-542

  Semenov, Vladimir Yu ^a   Shuman, Vladimir N ^b  

^a INSTITUTE OF GEOPHYSICS   (Poland)

^b INSTITUTE OF HYDROBIOLOGY   (Ukraine)

Author keywords

Impedances; Induction sounding; Magnetotelluric sounding; Magnetovariation sounding

Indexed keywords

EARTH'S MANTLE; EXCITING FIELD; HEURISTIC MODEL; IMPEDANCE BOUNDARY CONDITIONS; JOINT INVERSION; MAGNETOTELLURIC SOUNDINGS; MAGNETOTELLURICS; SIMPLIFIED MODELS; SOURCE TYPES;

AUDIOMAGNETOTELLURIC SOUNDING; BOUNDARY CONDITION; HEURISTICS; MANTLE; NUMERICAL MODEL;

EID: 77952422111     PISSN: 18956572     EISSN: 18957455     Source Type: Journal    
DOI: 10.2478/s11600-010-0003-z     Document Type: Article

References (56)

1. Aboul-Atta, O. A., and W. M. Boerner (1975), Vectoral impedance identity for the natural dependence of harmonic fields on closed boundaries, Can. J. Phys. 53, 15, 1404-1407, DOI: 10. 1139/CJP-53-15-1404.
2. Bahr, K., N. Olsen, and T. J. Shankland (1993), On the combination of the magnetotelluric and the geomagnetic depth sounding method for resolving an electrical conductivity increase at 400 km depth, Geophys. Res. Lett. 20, 24, 2937-2940, DOI: 10. 1029/93GL02134.
3. Banks, R. J. (1969), Geomagnetic variations and the electrical conductivity of the upper mantle, Geophys. J. Roy. Astron. Soc. 17, 5, 457-487, DOI: 10. 1111/j. 1365-246X. 1969. tb00252. x.
4. Bates, R. H. T., W. M. Boerner, and G. R. Dunlop (1976), An extended Rytov approximation and its significance for remote sensing and inverse scattering, Opt. Commun. 18, 4, 421-423, DOI: 10. 1016/0030-4018(76)90285-6.
5. Becken, M., and L. B. Pedersen (2003), Transformation of VLF anomaly maps into apparent resistivity and phase, Geophysics68, 2, 497-505, DOI: 10. 1190/1. 1567217.
6. Becken, M., O. Ritter, and H. Burkhardt (2008), Mode separation of magnetotelluric responses in three-dimensional environments, Geophys. J. Int. 172, 1, 67-86, DOI: 10. 1111/j. 1365-246X. 2007. 03612. x.
7. Berdichevsky, M. N., and M. S. Zhdanov (1984), Advanced Theory of Deep Geomagnetic Sounding, Elsevier, Amsterdam, 408 pp.
8. Berdichevsky, M. N., L. L. Vanjan, and E. B. Fainberg (1969), Frequency sounding of the Earth by spherical analysis of electromagnetic variations, Geomagn. Aeron. 9, 372-374 (in Russian).
9. Berdichevsky, M. N., V. I. Dmitriev, D. B. Novikov, and V. V. Pustucan (1997), Analysis and Interpretation of Magnetotelluric Data, Dialog, Moscow State University, Moscow, 161 pp. (in Russian).
10. Berdichevsky, M. N., V. I. Dmitriev, P. Pushkarev, N. Golubtsova, and V. Kuznetsov (2006), A defence of the magnetovariational method, Proc. 18-th IAGA Workshop on "Electromagnetic Induction in the Earth", El Vendrell, Spain, September, Extended Abstract 17-23.
11. Boerner, W. M., and H. P. S. Ahluwalia (1972), On a set of continuous wave electromagnetic inverse scattering boundary conditions, Can. J. Phys. 50, 23, 3023-3061.
12. Dmitriev, V. I., and M. N. Berdichevsky (2002), A generalized impedance model, Izvestiya, Physics Solid Earth38, 10, 897-903.
13. Egbert, G. D., and J. R. Booker (1992), Very long period magnetotellurics at Tucson observatory: Implications for mantle conductivity, J. Geophys. Res. 97, B11, 15099-15112, DOI: 10. 1029/92JB01251.
14. Fujii, I., and A. Schultz (2002), The 3D electromagnetic response of the Earth to ring current and auroral oval excitation, Geophys. J. Int. 151, 3, 689-709, DOI: 10. 1046/j. 1365-246X. 2002. 01775. x.
15. Guglielmi, A. V. (1984), Fore-history of the method of the magnetotelluric sounding, Fizika Zemli30, 3, 95-96 (in Russian).
16. Guglielmi, A. V. (2009), On the Leontovich boundary condition in geoelectromagnetism, Izvestiya, Physics Solid Earth45, 9, 740-743, DOI: 10. 1134/S106935130909002X.
17. Guglielmi, A. V., and M. B. Gokhberg (1987), On magnetotelluric sounding in seismically active regions, Fizika Zemli33, 11, 122-123 (in Russian).
18. Harrington, R. F. (1961), Time Harmonic Electromagnetic Fields, McGraw-Hill, New York, 480 pp.
19. Kartashov, Yu. A., G. V. Parantaev, and Yu. L. Yachno (1985), On the approximate boundary conditions on the quasi-flat conductive layer in the geomagnetic and geoelectrical tasks, Fizika Zemli31, 9, 55-60 (in Russian).
20. Kopeikin, V. (1998), Description of the dispersive refraction effect by space-time ray method, Wave Motion27, 4, 307-319, DOI: 10. 1016/S0165-2125(98)00054-7.
21. Kuckes, A. F. (1973), Relations between electrical conductivity of a mantle and fluctuating magnetic fields, Geophys. J. Roy. Astron. Soc. 32, 1, 119-130, DOI: 10. 1111/j. 1365-246X. 1973. tb06523. x.
22. Kuckes, A. F., A. G. Nekut, and B. G. Thompson (1985), A geomagnetic scattering theory for evaluation of earth structure, Geophys. J. Roy. Astron. Soc. 83, 2, 319-330, DOI: 10. 1111/j. 1365-246X. 1985. tb06489. x.
23. Kuvshinov, A., H. Utada, D. Avdeev, and T. Koyama (2005), 3D modelling and analysis of Dst C-responses in the North Pacific Ocean region, revisited, Geophys. J. Int. 160, 2, 505-526, DOI: 10. 1111/j. 1365-246X. 2005. 02477. x.
24. Landau, L. D., and E. M. Lifshitz (1960), Electrodynamics of Continuous Media, Pergamon Press, Oxford.
25. Leontovich, M. A. (1948), On approximate boundary conditions for an electromagnetic field on the surface of highly conductive bodies. In: "Issledovaniya po rasprostraneniyu radiovoln", USSR Acad. Sci., Moscow, 5-12 (in Russian).
26. Olsen, N. (1998), The electrical conductivity of the mantle beneath Europe derived from C-responses from 3 to 720 hr, Geophys. J. Int. 133, 2, 298-308, DOI: 10. 1046/j. 1365-246X. 1998. 00503. x.
27. Olsen, N., and A. Kuvshinov (2004), Modeling the ocean effect of geomagnetic storms, Earth Planet Space56, 525-530.
28. Pek, J. (2002), Spectral magnetotelluric impedances for an anisotropic layered conductor, Acta Geophys. Pol. 50, 4, 619-643.
29. Pek, J., and F. A. M. Santos (2002), Magnetotelluric impedances and parametric sensitivities for 1-D anisotropic layered media, Computers & Geosciences28, 8, 939-950, DOI: 10. 1016/S0098-3004(02)00014-6.
30. Prichepiy, T. I. (2006), Modeling of the impedance parameters of the electromagnetic fields, Geophys. J., Kiev28, 1, 121-129 (in Russian).
31. Prichepiy, T. I. (2007), Vector identity of impedance type and ellipses of polarization of harmonic electromagnetic field, Geophys. J., Kiev29, 5, 124-142 (in Russian).
32. Rytov, S. M. (1940), Skin-effect calculations by the disturbance method, J. Exp. Theor. Phys. 10, 2, 180-189 (in Russian).
33. Schmucker, U. (1970), Anomalies of geomagnetic variations in the southwestern United States, Bull. Scripnogrs. Inst. Ocean. 13, 1-165.
34. Schmucker, U. (2003), Horizontal spatial gradient sounding and geomagnetic depth sounding in the period range of daily variation. In: Protokoll über das Kolloquium elektromagnetische Tiefenforschung, Kolloquium: Konigstein, 29. 09. 3. 10, 2003, 228-237.
35. Schultz, A., R. D. Kurtz, A. D. Chave, and A. G. Jones (1993), Conductivity discontinuities in the upper mantle beneath a stable craton, Geophys. Res. Lett. 20, 24, 2941-2944, DOI: 10. 1029/93GL02833.
36. Semenov, V. Yu. (1998), Regional conductivity structures of the Earth's mantle, Publs. Inst. Geophys. Pol. Acad. Sc. C-65, 302, 122 pp.
37. Semenov, V. Yu. (2000), On the apparent resistivity in magnetotelluric sounding, Izvestiya, Physics Solid Earth36, 1, 99-100.
38. Semenov, V. Yu., J. Vozar, and V. N. Shuman (2007), A new approach to gradient geomagnetic sounding, Izvestiya, Physics Solid Earth43, 7, 592-596, DOI: 10. 1134/S1069351307070087.
39. Semenov, V. Yu., J. Pek, A. Ádám, W. Jóźwiak, B. Ladanyvskyy, I. M. Logvinov, P. Pushkarev, and J. Vozar (2008), Electrical structure of the upper mantle beneath Central Europe: Results of the CEMES project, Acta Geophys. 56, 4, 957-981, DOI: 10. 2478/s11600-008-0058-2.
40. Senior, T. B. A. (1981), Approximate boundary conditions, IEEE Trans. Antenn. Propag. AP-29, 5, September.
41. Senior, T. B. A., and J. L. Volakis (1995), Approximate Boundary Conditions in Electromagnetics, IEE Press, London, 353 pp.
42. Shuman, V. N. (1999), Scalar local impedance conditions and the impedance tensor in processing and interpretation of a magnetotelluric experiment, Geophys. J., Kiev19, 361-385 (in Russian).
43. Shuman, V. (2003), The general theory of geoelectromagnetic sounding systems accounting the electrodynamics of spherical sources, 3D EMIII Workshop, Adelaide.
44. Shuman, V. N. (2007), Imaginary surface vectors in multidimensional inverse problems of geoelectrics, Izvestiya, Physics Solid Earth43, 3, 205-210, DOI: 10. 1134/S1069351307030044.
45. Shuman, V., and S. Kulik (2002), The fundamental relations of impedance type in general theories of the electromagnetic induction studies, Acta Geophys. Pol. 50, 4, 607-618.
46. Sokolova, E. Yu., and I. M. Varentsov, and BEAR Working Group (2007), Deep array electromagnetic sounding on the Baltic Shield: External excitation model and implications for upper mantle conductivity studies, Tectonophysics445, 1-2, 3-25, DOI: 10. 1016/j. tecto. 2007. 07. 006.
47. Utada, H., A. Yoneda, H. Shimizu, K. Baba, and N. A. Palshin (2008), Effect of Sq variations on the electromagnetic response functions in the period range between 3 hours and 1 day. Proc. 19th IAGA Workshop on "Electromagnetic Induction in the Earth", Beijing, China, October 23-29, p. 848.
48. Vanyan, L. L, V. A. Kuznetsov, T. V. Lyubetskaya, N. A. Palshin, T. Korja, I. Lahti, and the BEAR Working Group (2002), Electrical conductivity of the crust beneath Central Lapland, Izvestiya, Physics Solid Earth38, 10, 798-815.
49. Velimský, J., and Z. Martinec (2005), Time-domain, spherical harmonic-finite element approach to transient three-dimensional geomagnetic induction in a spherical heterogeneous Earth, Geophys. J. Int. 161, 1, 81-101, DOI: 10. 1111/j. 1365-246X. 2005. 02546. x.
50. Vozar, J., V. Yu. Semenov, A. V. Kuvshinov, and C. Manoj (2006), Updating the map of Earth's surface conductance, Eos Trans. AGU87, 33, DOI: 10. 1029/2006EO/33004.
51. Vozar, J., and V. Yu. Semenov (2010), Compatibility of induction methods for mantle soundings, J. Geophys. Res., DOI: 10. 1029/2009JB006390 (in press).
52. Wait, J. R. (1954), On the relation between telluric currents and the Earth's magnetic field, Geophysics19, 281-289, DOI: 10. 1190/1. 1437994.
53. Weckmann, U., O. Ritter, and V. Haak (2003), Images of the magnetotelluric apparent resistivity tensor, Geophys. J. Int. 155, 2, 456-468, DOI: 10. 1046/ j. 1365-246X. 2003. 02062. x.
54. Woods, D. V., and F. E. M. Lilley (1979), Geomagnetic induction in Central Australia, J. Geomag. Geoelectr. 31, 449-458.
55. Yin Ch. (2003), Inherent nonuniqueness in magnetotelluric inversion for 1D anisotropic models, Geophysics68, 1, 138-146, DOI: 10. 1190/1. 1543201.
56. Zhdanov, M. S. (1980), Taking into account of the influence of the oceans on the variable geomagnetic field by the spherical finite layer, Geomagn. Aeron. 20, 3, 523-529 (in Russian).