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A numerical method for analyzing the quasistationary field above a stratified medium with an axisymmetric elevation

  • IV. Mathematical Models in Electrodynamics and Geophysics
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Abstract

We consider the quasistationary electromagnetic field above a plane-parallel stratified medium with an axisymmetric elevation. The three-dimensional vector problem is reduced to scalar problems in the azimuthal halfplane for the first two field harmonics. A system of one-dimensional integral equations of the first kind is obtained.

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Literature Cited

  1. V. I. Dmitriev and N. A. Mershchikova, "The method of integral equations for modeling of electromagnetic sounding of inhomogeneous media," in: Computational Methods and Programming [in Russian], No. 32, Moscow State Univ. (1980), pp. 200–215.

  2. V. I. Dmitriev and I. S. Barashkov, "On computing the magnetotelluric field of magnetic polarization in a two-dimensionally inhomogeneous medium," in: Numerical Methods in Geophysical Research [in Russian], Moscow State Univ. (1979).

  3. V. I. Dmitriev and I. S. Barashkov, "A numerical method for analyzing magnetotelluric fields in a stratified medium with an axisymmetric inhomogeneity," in: Numerical Methods in Geophysical Research [in Russian], Moscow State Univ. (1980), pp. 3–15.

  4. E. V. Zakharov, "A solution method for boundary-value problems of electrodynamics in inhomogeneous media with axial symmetry," in: Computational Methods and Programming [in Russian], No. 28, Moscow State Univ. (1978), p. 232.

  5. Yu. A. Eremin, E. V. Zakharov, and N. I. Nesmeyanova, "The method of fundamental solutions in diffraction problems of electromagnetic waves on bodies of revolution," in: Computational Methods and Programming [in Russian], No. 32, Moscow State Univ. (1980), pp. 28–44.

  6. I. S. Barashkov and V. I. Dmitriev, "The method of two-dimensional integral equations for computing the magnetotelluric fields in a stratified medium with an axisymmetric inhomgeneity," in: Computational Methods and Programming [in Russian], No. 36, Moscow State Univ. (1982), pp. 14–27.

  7. V. I. Dmitriev, Electromagnetic Fields in Inhomogeneous Media [in Russian], Moscow State Univ. (1969).

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Authors
  1. V. I. Dmitriev
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  2. N. I. Nesmeyanova
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Additional information

Translated from Vychislitel'naya Matematika i Matematicheskoe Obespechenie EVM, pp. 176–181, 1985.

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Dmitriev, V.I., Nesmeyanova, N.I. A numerical method for analyzing the quasistationary field above a stratified medium with an axisymmetric elevation. Comput Math Model 1, 87–91 (1990). https://doi.org/10.1007/BF01128318

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  • DOI: https://doi.org/10.1007/BF01128318

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