Abstract
Various concepts exist to define substitute conductors for empirical response estimates at singular frequencies: Chapman’s shell-core model, the Cagniard-Tikhonov apparent resistivity, the Niblett-Bostick and Molochnov transformation, the p* — z* transformation. They are all interrelated and assign comparable resistivities to the substitute conductor at a given frequency. Applications to synthetic response data of plane and spherical conductors show under which conditions these substitutions come closest to the model and which influence of source dimensions and Earth’s sphericity can be expected. p* — z* transformed global response data for S and Dst variations demonstrate how substitute conductors may serve as useful guides in inverse procedures.
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References
Banks, R. J. (1972),The Overall Conductivity Distribution of the Earth. J. Geomagn. Geoelectr.24, 337–351.
Cagniard, L. (1953),Basic Theory of the Magneto telluric Method of Geophysical Prospecting. Geophysics18,605–635.
Chapman, S. andBartels, J.,Geomagnetism. (Oxford Clarendon Press 1940) 1049 pp.
Kertz, W. (1978),Das p*(z*)-Verfahren bei mit der Tiefe zunehmendem Widerstand. Protokoll Kolloq. Erdmagnetische Tiefensondierung, Neustadt/Weinstraße, Nieders. Landesamt f. Bodenforschung Hannover, 77–80.
Kuckes, A. F. (1973),Relations Between Electrical Conductivity of a Mantle and Fluctuating Magnetic Fields. Geophys. J. R. Astr. Soc.32,119–131.
Lahiri, B. N. andPriceA. T. (1939),Electromagnetic Induction in Non-uniform Conductors and the Determination of the Conductivity of the Earth from Terrestrial Magnetic Variations. Phil. Trans. Roy. Soc. LondonA 237,509–540.
Molochnov, G. V. (1968),Magnetotelluric Sounding Interpretation Using the Effective Depth of Penetration of Electromagnetic Fields, in Russian. Izv. Akad. Nauk SSSR Fiz. Semli9,88–94.
Niblett, E. R. andSayn-Wittgenstein, C. (1960),Variation of Electrical Conductivity with Depth by the Magnetotelluric Method. Geophys.25,998–1008.
Parker, R. L. (1980),The Inverse Problem of Electromagnetic Induction: Existence and Construction of Solutions Based on Incomplete Data. J. Geophys. Res. 85,4421–4428.
Price, A. T. (1962),The Theory of Magnetotelluric Methods when the Source Field is Considered. J. Geophys. Res.67,1907–1918.
Rokityansky, I. I.,Geoelectromagnetic Investigation of the Earth’s Crust and Mantle(Springer-Verlag, Berlin-Heidelberg-New York 1982) 381 pp.
Schmucker, U. (1970),Anomalies of Geomagnetic Variations in the Southwestern United States. Scripps Institution of Oceanography Bulletin13,Univ. of California Press, 165 pp.
Schmucker, U. (1971),Neue Rechenmethoden zur Tiefensondierung. Protokoll Kolloq. Erdmagnetische Tiefensondierung Rothenberge, Inst, für Geophysik Göttingen, 1–39.
Schmucker, U.,Magnetic and electric fields due to electromagnetic induction by external sources, Electrical Properties of the Earth’s Interior,Landolt-Börnstein (Numerical Data and Functional Relationships in Science and Technology) New Series Group V Vol. 2b (Springer-Verlag 1985).
Weidelt, P. (1972),The Inverse Problem of Geomagnetic Induction. Z. f. Geophysik38,257–289.
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© 1987 Birkhäuser Verlag, Basel
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Schmucker, U. (1987). Substitute Conductors for Electromagnetic Response Estimates. In: Campbell, W.H. (eds) Electrical Properties of the Earth’s Mantle. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7373-4_8
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DOI: https://doi.org/10.1007/978-3-0348-7373-4_8
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