A general approach to the magnetotelluric data inversion in a piecewise-continuous medium

Izvestiya, Physics of the Solid Earth

Volumn 38, Issue 11, 2002, Pages 913-934

  Varentsov, Iv M ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 9144256795     PISSN: 10693513     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (52)

1. Abramova, L.M., Varentsov, Iv.M., Velev, A., et al., Study of the Bulgaria Geoelectric Structure, Fiz. Zemli, 1994, no. 11, pp. 59-69.
2. BEAR Working Group and Varentsov, Iv.M., On the Construction and Verification of the Volume Geoelectrical Model of Fennoscandia in the BEAR Project, Proc. 6th SVEKALAPKO Workshop (Univ. of Oulu. Dept. of Geophys. Rep. 24), 2001, pp. 10-13.
3. Belyavskii, V.V. and Kulik, S.N., Eds., Geoelektricheskaya model' tektonosfery Evraziiskogo skladchatogo poyasa i sopredel'nykh territorii (Geoelectric Model of the Tectonosphere of the Eurasian Foldbelt and Adjacent Regions), Kiev: Znannya, 1998.
4. Cerv, V, and Pek, J., Numerical Solution of the 2D Inverse Geomagnetic Induction Problem, Stud. Geophys. Geod., 1981, vol. 25, pp. 69-79.
5. Chave, A.D. and Thomson, D.J., Some Comments on MT Response Function Estimation, J. Geophys. Res., 1989, vol. 94, no. 10, pp. 14215-14225.
6. Egbert, G.D. and Booker, J.R., Robust Estimation of Geomagnetic Transfer Functions, Geophys. J. R. Astron. Soc., 1986, no. 87, pp. 173-194.
7. Gill, P., Murray, W., and Wright, M., Practical Optimization, London: Academic, 1982.
8. Golubev, N.G. and Varentsov, Iv.M., Solution of Inverse Problems in Geoelectrics by Newtonian Minimization of Tikhonov's Regularization Functionals, IX Workshop on EM Induction in the Earth (Abstracts). Dagomys. USSR, 1988, pp.2-18.
9. Golubev, N.G. and Varentsov, Iv.M., Algorithms of Robust Inversion of MT Sounding Data for 2D Geoelectric Structures, EGS General Assembly (Abstracts), Ann. Geophys., 1993, vol. 11, (Suppl. Part I), p. 48.
10. Golubev, N.G. and Varentsov, Iv.M., Recent 2D Inversion Developments in Magnetotellurics for Piecewise Continuous Conductivity Structures, WWW Page (http://user.transit.ru/~igemi/hoti2d_1.htm), 1997.
11. Golubev, N.G., Varentsov, Iv.M., Baglaenko, N.V., and Sokolova, E.Yu., Important Trends for MT Data 2D-3D Inversion: Finite Function Model Approximation, Stable Optimization, Visual Interaction, Russian-German Seminar "Actual Problems in Deep EM Studies" (Extended Abstracts), Moscow: OIFZ RAN, 1997, pp. 40-41.
12. Golubev, N.G., Sokolova, E.Yu., and Varentsov, Iv.M., On the Resolution Bounds of Bimodal Inversion and Validity of 2D Approach on the Lincoln Line (EMSLAB Experiment), XIV Workshop on EM Induction in the Earth (Abstracts). Sinaia. Romania, 1998, p. 114.
13. Hjelt, S.-E., Pragmatic Inversion of Geophysical Data (Lecture Notes in Earth Sciences, vol. 39), Berlin: Springer, 1992.
14. Huber, P., Robust Statistics, New York: Wiley, 1981. Translated under the title Robustnost'v statistike, Moscow: Mir, 1984.
15. Lawson, C.L. and Hanson, R.J., Solving Least Squares Problems, Englewood Cliffs: Prentice-Hall, 1984.
16. Mackie, R.L. and Madden, T.R., 3D MT Inversion Using Conjugate Gradients, Geophys. J. Int., 1993, vol. 115, pp. 215-229.
17. Mackie, R.L., Smith, J.T., and Madden, T.R., 3D EM Modelling Using FD Equations: The MT Example, Radio Sci., 1993, vol. 29, no. 4, pp. 923-935.
18. Manteuffel, T.A., Starke, G., and Varga, R.S., Adaptive k-Step Iterative Methods for Nonsymmetric Systems of Linear Equations, Electron. Trans. Num. Analysis, 1995, vol. 3, pp. 50-65.
19. Novozhinskii, K., and Pushkarev, P.Yu., The Efficiency Analysis of Programs for Two-Dimensional Inversion of Magnetotelluric Data, Izvestiya, Phys. Solid Earth, 2001, vol. 37, pp. 503-516.
20. Ogawa, Y. and Uchida, T., Personal Communication, 1999.
21. Pek, J., Linearization Methods of Interpreting MT and MV Data, Travaux Geophys., 1985, vol. 33, pp. 199-326.
22. Pushkarev, P.Yu., Magnetotelluric Studies in an Ocean-to-Continent Transition Zone: A Case Study of the Cascadia Subduction Zone, Cand. Sc. (Phys.-Math.) Dissertation, Moscow: MGU, 2002.
23. Rybin, A.K., Deep Electromagnetic Sounding Studies in the Central Kyrgyz Tien Shan, Cand. Sc. (Phys.-Math.) Dissertation, Moscow: MGU, 2001.
24. Sokolova, E.Yu., Development of New Methods for Analysis of Deep Electromagnetic Soundings and Their Application to a Region of Complex Geoelectric Structure, Cand. Sc. (Phys.-Math.) Dissertation, Moscow: OIFZ RAN, 2002.
25. Sokolova, E.Yu., Varentsov, Iv.M., and the BEAR Working Group, The Tracing of the Eastern Slope of the Ladoga Conductivity Anomaly on the I-EV Geotraverse, Proc. 6th SVEKALAPKO Workshop (Univ. of Oulu. Dept. of Geophys. Rep. 24), 2001, pp. 10-13.
26. Starostenko, V.I., Ustoichivye chislennye metody v zadachakh gravimetrii (Robust Numerical Methods in Gravity Problems), Kiev: Nauk. Dumka, 1978.
27. Strakhov, V.N., On the Parametrization Problem in Gravity Inversion, Fiz. Zemli, 1978, no. 6, pp. 39-49.
28. Tarantola, A. and Valette, B., Generalized Nonlinear Inverse Problems Solved Using the Least Squares Criterion, Rev. Space Phys., 1982, vol. 20, pp. 219-232.
29. Tarantola, A. and Nercessian, A., 3D Inversion with Blocks, Geophys. J. R. Astron. Soc., 1984, vol. 50, pp. 1618-1627.
30. Tikhonov, A.N. and Glasko, V.B., Application of the Regularization Method to Geophysical Interpretation Problems, Fiz. Zemli, 1975, no. 1, pp. 38-48.
31. Tikhonov, A.N. and Arsenin, V.Ya., Metody resheniya nekorrektnykh zadach (Methods of Solving III-Posed Problems), Moscow: Nauka, 1979.
32. Vanyan, L.L., Berdichevsky, M.N., Pushkarev, P.Yu., and Romanyuk, T.V., A Geoelectric Model of the Cascadia Subduction Zone, Izvestiya, Phys. Solid Earth, 2002, vol. 38, no. 10.
33. Varentsov, Iv.M., Modern Trends in the Solution of Forward and Inverse 3D EM Induction Problems, Geophys. Surv., 1983, vol. 6, pp. 55-78.
34. Varentsov, Iv.M., Recent 3D Inversion Developments in Magnetotellurics for Piecewise Continuous Conductivity Structures: A Scheme with Finite Function Conductivity Approximation, WWW Page (http://user.transit. ru/~igemi/hoti3d_1.htm), 1998a.
35. Varentsov, Iv.M., The COPROD-2S Project, WWW Page (http://user.transit.ru/~igemi/c_2s-p0.htm), 1998b.
36. Varentsov, Iv.M., The Selection of Effective FD Solvers in 3D EM Modelling Schemes, Proc. 3DEM-2 Int. Symp., Salt Lake City: Univ. Of Utah, 1999a, pp. 201-204.
37. Varentsov, Iv.M., Stable Nonlinear Inversion of MT Data in the Piecewise Continuous 3D Media, Proc. 3DEM-2 Int. Symp., Salt Lake City: Univ. Of Utah, 1999b, pp. 136-139.
38. Varentsov, Iv.M., Stable Nonlinear Inversion of Regional MT and GDS Data within the Piecewise Continuous 3D Media, Proc. 5th SVEKALAPK0 Workshop (Univ. of Oulu. Dept. of Geophys. Rep. 23), 2000, p. 75.
39. Varentsov, Iv.M. and Golubev, N.G., Direct and Iterative Methods of Solving Linear Systems in 2-D Electromagnetic Field Modeling Problems, Matematicheskie metody v geoelektriki (Mathematical Methods in Geoelectrics), Moscow: IZMIRAN, 1982, pp. 27-46.
40. Varentsov, Iv.M. and Golubev, N.G., Finite-Difference Technology of Solving a Forward Geoelectric 2-D Problem in the Class of Regional Models, Elektromagnitnoe zondirovanie Zemli (Electromagnetic Sounding of the Earth), Moscow: IZMIRAN, 1985, pp. 23-28.
41. Varentsov, Iv.M., Golubev, N.G., Gordienko, V.V., and Sokolova, E.Yu., Study of the Deep Geoelectric Structure along the Lincoln Profile (EMSLAB Experiment), Fiz. Zemli, 1996, no. 4, pp. 124-144.
42. Varentsov, Iv.M. and Baglaenko, N.V., Resolution Study of 2D/3D Inversion Techniques Using Imitation Models, XIV Workshop on EM Induction in the Earth (Abstracts), Sinaia, 1998, p. 135.
43. Varentsov, Iv.M. and Baglaenko, N.V., Inversion of the COPROD-2S Synthetic Data Sets, XV Workshop on EM Induction in the Earth (Abstracts), Cabo Frio, 2000, p. 124.
44. Varentsov, Iv.M., Engels., M., Korja, T., et al., A Generalized Geoelectric Model of Fennoscandia: A Challenging Database for Long-Period 3D Modeling Studies within the Baltic Electromagnetic Array Research (BEAR) Project, Izvestiya, Phys. Solid Earth, 2002a, pp. 855-896.
45. Varentsov, Iv.M., Fomenko, E.Yu., Golubev, N.G., et al., Comparative Study of 3D Finite-Difference and Integral Equation Methods, Acta Geophys. Pol., 2002b (in press).
46. Yanovskaya, T.B. and Porokhova, L.N., Obratnye zadachi geofiziki (Geophysical Inversion Problems), Leningrad: LGU, 1983.
47. Zhdanov, M.S. and Varentsov, Iv.M., Interpretation of Local Geomagnetic Anomalies Using the Method of Contracting Surfaces, Geol. Geofiz., 1978, no. 7, pp. 54-63.
48. Zhdanov, M.S., Varentsov, Iv.M., and Golubev, N.G., Inversion by Iterative Fit-and-Trial Method, Fundamental'nye problemy morskikh EM issledovanii (Fundamental Problems of Marine Electromagnetic Studies), Moscow: IZMIRAN, 1980, pp. 186-191.
49. Zhdanov, M.S. and Golubev, N.G., Use of the Finite Function Methods for the Solution of the 2D Inverse Problem, J. Geomagn. Geoelectr., 1983, vol. 35, pp. 707-722.
50. Zhdanov, M.S., Varentsov, Iv.M., and Baglaenko, N.V., Solution of Structural Geoelectric Inversion Problems, Geol. Geofiz., 1983, no. 5, pp. 109-113.
51. Zhdanov, M.S., Varentsov, Iv.M., Golubev, N.G., and Krylov, V.A., Metody EM modelirovaniya (materialy mezhdunarodhogo proekta COMMEMI (Electromagnetic Modeling Methods (Results of the COMMEMI International Project)), Moscow: Nauka, 1990.
52. Zhdanov, M.S. and Zhang, G., Finite Functions Method in the Solution of 3D EM Inverse Problems, 68th SEG Annual Meeting (Expanded Abstracts New Orleans, 1998, pp. 405-408.