Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Inversion problem in regional electromagnetic induction studies

  • 27 Accesses

Abstract

For completeness of the theory proposed by Oni (1972), the inversion problem is examined. It is shown that parameters which constrain distinct solutions of the inverse problem can be determined in the application of the theory. The fundamental basis of the inversion and the strategy to be adopted are discussed.

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

References

  1. [1]

    Anderssen, R. S. (1970),The character of non-uniqueness in the conductivity modelling problem for the Earth, Pure and App. Geophys.80, 238–259.

  2. [2]

    Anderssen, R. S. (1974),On the inversion of global electromagnetic induction data, Second Workshop on Electromagnetic Induction in the earth.

  3. [3]

    Backus, G. E. andGilbert, F. J. (1967),Numerical application of a formalism for geophysical inverse problems, Geophys. J.13, 247–276.

  4. [4]

    Gel'fand, I. M. andLevitan, B. M. (1951a),On the determination of a differential equation from its spectral function [Russ], Dokl. Akad. Nauk. SSSR77, 557–560.

  5. [5]

    Gel'fand, I. M. andLevitan, B. M. (1951b),On the determination of a differential equation from its spectral function [Russ], Izv. Akad. Nauk. SSSR, mat. ser.15, 309–360. Engl. Trans. in Amer. Math. Soc. Transl. Ser. 2, 1, 253–304.

  6. [6]

    Jackson, D. D. (1973),Marginal solutions to quasilinear inverse problems in Geophysics: The Edgehog Method, Geophys. J. R. Astr. Soc.35, 121–126.

  7. [7]

    Oni, Ebun (1972),A mathematical structure for a theory of electromagnetic induction in the earth in low latitude, Pure and Appl. Geophys.101, 162–173.

  8. [8]

    Oni Ebun andAgunloye, O. (1973),Further studies of subsurface electrical conductivity structure in Nigeria, J. Geomag. Geoelect.26, 191–202.

  9. [9]

    Oni Ebun andAgunloye, O. (1974),A predominant parameter v p of the inducing source field for induction studies in low latitude, Pure and Applied Geophys.112, 967–975.

  10. [10]

    Schmucker, U. (1970),Anomalies of geomagnetic variations in the South-West United States, Bulletin of the Scripps Institution of Oceanography.

  11. [11]

    Weidelt, P. (1972),The inverse problem of geomagnetic induction. Zeit fur Geophysik,38, 257–289.

  12. [12]

    Weidelt, P. (1974),Inversion of two-dimensional structures. Second Workshop on Electromagnetic Induction in the Earth.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Oni, E. Inversion problem in regional electromagnetic induction studies. PAGEOPH 115, 623–630 (1977). https://doi.org/10.1007/BF00876126

Download citation

Key words

  • Electromagnetic induction
  • Inversion theory, electromagnetic