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.
References
Banks, R.J.: Geomagnetic variations and the electrical conductivity of the upper mantle. Geophys. J. Roy. Astron. Soc. 17, 457–487 (1969)
Bath, M.: Spectral Analysis in Geophysics. Elsevier, Amsterdam (1974)
Bendat, J., Piersol, A.: Random Data Analysis and Measurement Procedures, 2nd edn. Wiley, New York (1986)
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)
Bychkov, V.S., Lejbo, A.B., Semenov, V.: Interpretation of coherency coefficient and phase difference function. Geomagnetic Studies, 16. Moscow, Nauka (1975) (in Russian)
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)
Claerbout, J.F., Muir, F.: Robust modelling with erratic data. Geophysics 38(5), 826–844 (1973)
Egbert, G.D., Booker, J.R.: Robust estimation of geomagnetic transfer functions. Geophys. J. Roy. Astron. Soc. 87, 173–194 (1986)
Jenkins, G.M., Watts, D.G.: Spectral Analysis and Its Application. Holden-Day, San-Francisco (1968)
Junge, A.: Characterization of and correction for cultural noise. Surv. Geophys. 17, 361–391 (1986)
Lejbo, A.B.: Probabilistic model for estimating the impedance in a horizontally-homogeneous media. Geomag. Aeron. 20(4), 706–710 (1978) (in Russian)
Reddy, I.K., Rankin, D.: Coherence functions for magnetotelluric analysis. Geophysics 39(3), 312–320 (1974)
Roberts, R.G.: The long period electromagnetic response of the Earth. Geophys. J. Roy. Astron. Soc. 78(2), 547–572 (1984)
Semenov, V.: Data processing of magnetotelluric soundings/Obrabotka dannyh magnitotelluricheskogo zondirovaniya. Moscow, Nedra, 133 p. (1985) (in Russian)
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)
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)
Schmucker, U.: Anomalies of geomagnetic variations in the southwestern United States. Bull. Scripps Inst. Ocean. Univ. Calif. 1–165
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)
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)
Wiener, N.: Cybernetics: Or Control and Communication in the Animal and the Machine. The M.I.T Press, Cambridge, Massachusetts (1948)
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)
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)
Author information
Authors and Affiliations
Corresponding author
Rights 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
DOI: https://doi.org/10.1007/978-3-319-53795-5_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-53794-8
Online ISBN: 978-3-319-53795-5
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)