Skip to main content
SpringerLink
Log in
Book cover

Induction Soundings of the Earth's Mantle pp 25–44Cite as

Several Impedances from One Equation

  • Chapter
  • First Online:

  • 309 Accesses

Part of the book series: GeoPlanet: Earth and Planetary Sciences ((GEPS))

Abstract

The chapter is dedicated to estimate impedances and their space derivatives using the theory of the random processes. This approach is effective to estimate several unknown values from one equation. Results are prepared in the frequency domain and characterized by confidence limits. Selections of directions for interpretation are discussed. The theoretical principles considered below deal with fields induced by sources in the ionosphere or magnetosphere of the Earth only.

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

References

  • Banks, R.J.: Geomagnetic variations and the electrical conductivity of the upper mantle. Geophys. J. Roy. Astron. Soc. 17, 457–487 (1969)

    Article  Google Scholar 

  • Bath, M.: Spectral Analysis in Geophysics. Elsevier, Amsterdam (1974)

    Google Scholar 

  • Bendat, J., Piersol, A.: Random Data Analysis and Measurement Procedures, 2nd edn. Wiley, New York (1986)

    Google Scholar 

  • Berdichevsky, M.N., Vanyan, L.L., Feinberg, E.B.: The frequency sounding of the Earth using spherical analysis results of geomagnetic variations. Geomag. Aeron. 9, 372–374 (1969) (in Russian)

    Google Scholar 

  • Bychkov, V.S., Lejbo, A.B., Semenov, V.: Interpretation of coherency coefficient and phase difference function. Geomagnetic Studies, 16. Moscow, Nauka (1975) (in Russian)

    Google Scholar 

  • Chave, A.D., Thomson, D.J., Ander, M.E.: The robust estimation of power spectra, coherencies, and transfer functions. J. Geophys. Res. 92(B1), 633–648 (1987)

    Article  Google Scholar 

  • Claerbout, J.F., Muir, F.: Robust modelling with erratic data. Geophysics 38(5), 826–844 (1973)

    Article  Google Scholar 

  • Egbert, G.D., Booker, J.R.: Robust estimation of geomagnetic transfer functions. Geophys. J. Roy. Astron. Soc. 87, 173–194 (1986)

    Article  Google Scholar 

  • Jenkins, G.M., Watts, D.G.: Spectral Analysis and Its Application. Holden-Day, San-Francisco (1968)

    Google Scholar 

  • Junge, A.: Characterization of and correction for cultural noise. Surv. Geophys. 17, 361–391 (1986)

    Article  Google Scholar 

  • Lejbo, A.B.: Probabilistic model for estimating the impedance in a horizontally-homogeneous media. Geomag. Aeron. 20(4), 706–710 (1978) (in Russian)

    Google Scholar 

  • Reddy, I.K., Rankin, D.: Coherence functions for magnetotelluric analysis. Geophysics 39(3), 312–320 (1974)

    Article  Google Scholar 

  • Roberts, R.G.: The long period electromagnetic response of the Earth. Geophys. J. Roy. Astron. Soc. 78(2), 547–572 (1984)

    Article  Google Scholar 

  • Semenov, V.: Data processing of magnetotelluric soundings/Obrabotka dannyh magnitotelluricheskogo zondirovaniya. Moscow, Nedra, 133 p. (1985) (in Russian)

    Google Scholar 

  • Semenov, V., Kaikkonen, P.: On magnetotelluric data analysis with example for the Kuhmo region in Eastern Finland. Report 13 of the Oulu University, Finland, 1–13 (1986)

    Google Scholar 

  • Svetov, B.S., Shimilevich, 1982. Determination of the linear relation between the components of magnetotelluric field. Izv. AN USSR, Fizika Zemli, 5, 59–67 (1982) (in Russian)

    Google Scholar 

  • Schmucker, U.: Anomalies of geomagnetic variations in the southwestern United States. Bull. Scripps Inst. Ocean. Univ. Calif. 1–165

    Google Scholar 

  • Schultz, A., Larsen, J.C.: On the electrical conductivity of the mid-mantle: I. Calculation of equivalent scalar magnetotelluric response function. Geophys. J. Roy. Astron. Soc. 88, 733–761 (1987)

    Article  Google Scholar 

  • Volkomirskaya, L.B., Lejbo, A.B., Semenov, V.: On the statistical treatment of the electromagnetic sounding data. Geomag. Aeron. 19(5), 530–537 (1979) (in Russian)

    Google Scholar 

  • Wiener, N.: Cybernetics: Or Control and Communication in the Animal and the Machine. The M.I.T Press, Cambridge, Massachusetts (1948)

    Google Scholar 

  • Wieladek, R., Ernst, T.: Application of the method of least squares to determining impulse responses and transfer functions. Publ. Inst. Geophys. Pol. Acad. Sci. G-1, 110, 3–12 (1977)

    Google Scholar 

  • Yee, E., Paulson, K.V.: The canonical decomposition and its relationship in other forms of magnetotelluric impedance tensor analysis. J. Geophys. 63, 173–189 (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Geophysics, Polish Academy of Sciences, Warsaw, Poland

    Vladimir Semenov

  2. Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Russian Academy of Sciences, St. Petersburg Branch, St. Petersburg, Russia

    Maxim Petrishchev

Authors
  1. Vladimir Semenov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Maxim Petrishchev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Vladimir Semenov .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Cite this chapter

Semenov, V., Petrishchev, M. (2018). Several Impedances from One Equation. In: Induction Soundings of the Earth's Mantle. GeoPlanet: Earth and Planetary Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-53795-5_2

Download citation

Publish with us

Policies and ethics

Search

Navigation