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Matrix approach to the solution of electromagnetic induction in a spherically layered earth

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Выве¶rt;ены мамрuчные формулы ¶rt;ля наnряженносмu nолеŭ магнuмного u элекмрuческого мuna. С nомощью эмuх формул nре¶rt;смаавлены: кажущееся соnромuвленuе, функцuя омклuка u макже часмомное уравненuе, оnре¶rt;еляющее часмомы собсмвенных колебанuŭ соомвемсмвующuх волн. Пре¶rt;ложен бысмрыŭ aлгорuмм ¶rt;ля чuсленного расчема функцuŭ омклuка u кажущегося соnромuвленuя.

Summary

Matrix formulae for the intensities of the M- and E-fields have been derived. They have been applied to express the apparent resistivity, the transfer function, as well as the frequency equation determining the frequencies of free motion of the M- and E-waves. A fast algorithm for computing the transfer function and the apparent resistivity has been suggested.

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Authors and Affiliations

  1. Department of Geophysics and Meteorology, Faculty of Math. and Phys., Charles Univ., Prague

    Karel Pěč & Zdeněk Martinec

  2. Geophysical Institute, Czechosl. Acad. Sci., Prague

    Jana Pěčová

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  1. Karel Pěč
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  2. Zdeněk Martinec
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Pěč, K., Martinec, Z. & Pěčová, J. Matrix approach to the solution of electromagnetic induction in a spherically layered earth. Stud Geophys Geod 29, 139–162 (1985). https://doi.org/10.1007/BF01585717

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