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Numerical solution of a direct problem of the method of transient signals using a new formulation of Maxwell's equations

https://doi.org/10.18303/2619-1563-2024-4-64

Abstract

A new approach to solving the direct problem of non-stationary electrodynamics in a complete formulation for a heterogeneous geological environment is proposed. The new formulation of Maxwell's equations makes it possible to write down the equations of the electromagnetic field for potentials in the form of a system of first-order hyperbolic type equations. Information about the spatial distribution of specific electrical conductivity in the geological environment is contained in the electromagnetic response – the reaction of the medium to external electromagnetic influence.

About the Authors

I. N. Zlygostev
Trofimuk Institute of Petroleum Geology and Geophysics, SB RAS
Russian Federation

Igor N. Zlygostev

Koptyug Ave., 3, Novosibirsk, 630090



S. I. Trashkeev
Trofimuk Institute of Petroleum Geology and Geophysics, SB RAS; Institute of Laser Physics, SB RAS
Russian Federation

Koptyug Ave., 3, Novosibirsk, 630090

Lavrentiev Ave., 15B, Novosibirsk, 630090



P. A. Statsenko
Institute of Laser Physics, SB RAS
Russian Federation

Lavrentiev Ave., 15B, Novosibirsk, 630090



E. S. Khlystun
Trofimuk Institute of Petroleum Geology and Geophysics, SB RAS
Russian Federation

Koptyug Ave., 3, Novosibirsk, 630090



References

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2. Kudryavtsev A.N., Trashkeev S.I. Formalism of two potentials for the numerical solution of Maxwell's equations // Computational Mathematics and Mathematical Physics. 2013. Vol. 53 (11). P. 1653–1663. doi:10.1134/S0965542513110079.

3. Landau L.D., Lifshits E.M. Theoretical physics. Vol. VIII. Electrodynamics of continuous media (In Russ.). Chief Editorial of Physical and Mathematical Literature of the “Nauka”, Moscow, 1982. 621 p.

4. Physical properties of rocks and minerals (petrophysics): Geophysics handbook / Ed. N.B. Dortman (In Russ.). Nedra, Moscow, 1984. 455 p.

5. Zlygostev I.N., Mayorov A.P., Statsenko P.A., Trashkeev S.I., Khomyakov M.N., Diab Khala. Formalism of Potentials in Radar // Acoustooptic and Radar Methods for Information Measurements and Processing: Proceedings of the XVII International Scientific and Technical Conference (Suzdal, September 23–26, 2024) (In Russ.). STC UP RAS, Moscow, 2024. P. 80–84.


Review

For citations:


Zlygostev I.N., Trashkeev S.I., Statsenko P.A., Khlystun E.S. Numerical solution of a direct problem of the method of transient signals using a new formulation of Maxwell's equations. Russian Journal of Geophysical Technologies. 2024;(4):64-74. (In Russ.) https://doi.org/10.18303/2619-1563-2024-4-64

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ISSN 2619-1563 (Online)