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On the Formulation of Inverse Problem in Electrical Prospecting

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Inverse Problems and Large-Scale Computations

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 52))

Abstract

The following inverse problem can be formulated for the isotropic geological medium with applications in electrical prospecting: The electromagnetic field is measured on the surface of the ground. Find the distribution of electrical conductivity σ and magnetic permeability μ of the geological medium. We consider a simplified mathematical formulation of this problem in the frequency domain, assuming that the parameters of the geological medium σ and μ possess the frequency dispersion.

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References

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Acknowledgements

The author is grateful to the Russian Foundation for Basic Research, grant nr. 10-05-00 753-a, and to the Swedish Institute, Visby Program.

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Authors and Affiliations

  1. Saratov State University, 410012, Saratov, Russia

    V. P. Gubatenko

Authors
  1. V. P. Gubatenko
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Correspondence to V. P. Gubatenko .

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Editors and Affiliations

  1. Department of Mathematical Sciences, Chalmers University of Technology Gothenburg University, Gothenburg, Sweden

    Larisa Beilina

  2. Karlstad University, Karlstad, Sweden

    Yury V. Shestopalov

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Gubatenko, V.P. (2013). On the Formulation of Inverse Problem in Electrical Prospecting. In: Beilina, L., Shestopalov, Y. (eds) Inverse Problems and Large-Scale Computations. Springer Proceedings in Mathematics & Statistics, vol 52. Springer, Cham. https://doi.org/10.1007/978-3-319-00660-4_2

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