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Analytical Models of Time-Dependent Physical Fields of the Earth: Local Version

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Abstract—A new method for analytical description of time-dependent signals of different nature based on local and regional versions of the method of linear integral representations in spaces of different dimensions is proposed. The inverse problem of finding the field sources is reduced to solving ill-conditioned systems of linear algebraic equations with an approximate right-hand side. The results of a mathematical experiment on finding elements of nonstationary gravity and magnetic fields of the Earth are presented.

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Funding

The work was carried out under the state contract of Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences.

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Authors and Affiliations

  1. Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, 123242, Moscow, Russia

    I. E. Stepanova & P. S. Mikhailov

  2. Faculty of Geology, Moscow State University, 119991, Moscow, Russia

    A. V. Shchepetilov

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  1. I. E. Stepanova
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  3. P. S. Mikhailov
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Correspondence to I. E. Stepanova.

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Translated by M. Nazarenko

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Stepanova, I.E., Shchepetilov, A.V. & Mikhailov, P.S. Analytical Models of Time-Dependent Physical Fields of the Earth: Local Version. Izv., Phys. Solid Earth 59, 120–134 (2023). https://doi.org/10.1134/S1069351322060131

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