Skip to main content
Log in

The new approach to global deep sounding

  • Published:
pure and applied geophysics Aims and scope Submit manuscript

Abstract

The new approach to global geomagnetic sounding is developed to overcome difficulties of spherical harmonical analysis and subsequent transfer function determination. The approach is based on minimizing the discrepancy between experimental and simulated magnetic fields. The discrepancy is considered as a function of the medium model parameters and the coefficients of external fields. The method can be used for laterally inhomogeneous as well as homogeneous earth models. An example of its application to a radially symmetric model is demonstrated.

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

Access this article

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

  • Golub, G. H., andPereyra, V. (1973),The Differentiation of Pseudo-inverses and Nonlinear Leastsquares Problems Whose Variables Separate, SIAM J. Numer. Anal.10, 413–432.

    Google Scholar 

  • Fainberg, E. B.,Global and Regional Magnetovariational Sounding of the Earth, Ph.D. Thesis (IZMIRAN, Moscow 1983a) 430 pp. (in Russian).

  • Fainberg, E. B.,Global geomagnetic sounding, InMathematical Modeling of Electromagnetic Fields (IZMIRAN, Moscow 1983b), pp. 79–121 (in Russian).

    Google Scholar 

  • Fainberg, E. B. Kuvshinov, A. V., andSinger, B. Sh. (1990),Electromagnetic Induction in a Spherical Earth with Nonuniform Oceans and Continents in Electric Contact with the Underlying Medium: II—Bimodal Global Geomagnetic Sounding of the Lithosphere, Geophys. J. (in press).

  • Lawton, W. H., andSylvestre, E. A. (1971),Elimination of Linear Parameters in Nonlinear Regression, Technometrics13, 4–13.

    Google Scholar 

  • Price, A. T., andWilkins, G. A. (1963),New Methods for Analysis of Geomagnetic Fields and their Application to the Sq Field of 1932–33, Phil. Trans. Roy. Soc.A 256, 31–98.

    Google Scholar 

  • Ruhe, A., andWedin, P. A. (1980),Algorithms for Separable Nonlinear Least-squares Problems, SIAM Rev.22, 318–337.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fainberg, E.B., Kuvshinov, A.V., Mishina, L.P. et al. The new approach to global deep sounding. PAGEOPH 134, 527–531 (1990). https://doi.org/10.1007/BF00878016

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00878016

Key words

Navigation