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.
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.
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).
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.
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.
Ruhe, A., andWedin, P. A. (1980),Algorithms for Separable Nonlinear Least-squares Problems, SIAM Rev.22, 318–337.
Author information
Authors and Affiliations
Rights 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
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00878016