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Integral characteristics in the inverse problem of magnetotelluric sounding

  • Mathematical Models of Geophysics
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Abstract

This article examines some aspects of the one-dimensional inverse problem of magnetotelluric sounding. A uniqueness theorem is proved in the presence ofS-surfaces. A numerical algorithm based on transformation formulas is proposed.

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References

  1. A. N. Tikhonov, “Determining the electrical characteristics of deep-lying layers in the Earth's crust,” Dokl. Akad. Nauk SSSR,73, No. 2, 295–297 (1950).

    MathSciNet  Google Scholar 

  2. M. N. Berdichevskii and V. I. Dmitriev, Magnetotelluric Sounding of Horizontally Homogeneous Media [in Russian], Nedra, Moscow (1992).

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  3. A. N. Tikhonov, “Mathematical justification of the theory of electromagnetic sounding”, Zh. Vychisl. Mat. Mat. Fiz.,5, No. 3, 545–548 (1965).

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  4. V. I. Dmitriev and N. V. Alekseeva, “A method to solve the inverse problem of magnetotelluric sounding,” in: Computational Mathematics and Computer Software [in Russian], Izd. MGU, Moscow (1985), pp. 165–175.

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  5. A. N. Tikhonov, “Stability of inverse problems,” Dokl. Akad. Nauk SSSR39, No. 5, 195–198 (1943).

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Additional information

This research was partially supported by Russian Foundation for Basic Research (grant No. 96-01-00410) and by the State Scientific-Technical Program “Future Information Technologies” (grant No. 0201.06.010).

Translated from Chislennye Metody v Matematicheskoi Fizike, Moscow State University, pp. 53–66, 1998.

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Dmitriev, V.I., Lopushenko, V.V. Integral characteristics in the inverse problem of magnetotelluric sounding. Comput Math Model 10, 307–316 (1999). https://doi.org/10.1007/BF02358950

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