Skip to main content
SpringerLink
Log in

Reconstruction of the medium by iterative-asymptotic method

  • Mathematical Modeling
  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Abstract

Interpretation of geoelectric fields gives rise to multidimensional inverse problems, which include many problems for quasi-layered media. Such problems are solved by an iterative-asymptotic method. In the present article we consider a particular implementation of the method designed for a certain model of the medium, a certain method of solving the one-dimensional inverse problem, and a certain representation of magnetotelluric sounding data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    MathSciNet  Google Scholar 

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

    Google Scholar 

  3. M. N. Berdichevskii, V. I. Dmitriev, D. B. Novikov, and V. V. Pastutsan,Analysis and Interpretation of Magnetotelluric Data [in Russian], Dialog-MGU, Moscow (1997).

    Google Scholar 

  4. A. S. Barashkov and V. I. Dmitriev, “Solving inverse problems in the class of quasi-one-dimensional functions,” in:Methods for Simulation, Computerized Data Analysis, and Their Applications [in Russian], Izd. MGU, Moscow (1986), pp. 160–175.

    Google Scholar 

  5. A. S. Barashkov,Small Parameter Method in Multidimensional Inverse Problems, VSP, Utrecht (1998).

    Google Scholar 

  6. V. I. Dmitriev, and I. S. Barashkov, “A method for numerical analysis of synthesized fields for three-dimensional diffraction problem on an impedance cavity,” in:Topical Issues in Applied Mathematics [in Russian], Izd. MGU, Moscow (1989), pp. 173–182.

    Google Scholar 

  7. A. S. Barashkov, “Estimation of electromagnetic fields on the Earth's surface using the impedance tensor,”Izv. Akad. Nauk SSSR, Fizika Zemli, No. 5, 57–56, (1986).

    Google Scholar 

  8. A. N. Tikhonov and V. Ya. Arsenin,Methods of Solution of Ill-Posed Problems [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  9. F. P. Vasilíev,Numerical Methods for Solving Extremal Problems [in Russian], Nauka, Moscow (1988).

    Google Scholar 

Download references

Authors
  1. V. I. Dmitriev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. A. Egorov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. S. Barashkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Prikladnaya Matematika i Informatika, No. 2, pp. 44–55, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dmitriev, V.I., Egorov, D.A. & Barashkov, A.S. Reconstruction of the medium by iterative-asymptotic method. Comput Math Model 11, 248–258 (2000). https://doi.org/10.1007/BF02361130

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02361130

Keywords

Search

Navigation