Vestnik КRAUNC. Fiz.-Mat. nauki. 2024. vol. 49. no. 4. P. 9 – 23. ISSN 2079-6641

MATHEMATICAL MODELING
https://doi.org/10.26117/2079-6641-2024-49-4-9-23
Research Article
Full text in Russian
MSC 86-10

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Modeling of the Impact of Environment Inhomogeneous Inclusions on the Formation of Geoacoustic Emission Zones

M. I. Gapeev^{\ast}, A. A. Solodchuk

Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS, 684034, Paratunka, Mirnaya Str., 7, Russia

Abstract. Geoacoustic emission is the process of elastic wave generation by rocks as the result of dynamic reconstruction of their structure. Observation results show that mechanic processes, occurring in the source of a preparing earthquake, affect the geoacoustic emission dynamics. Modeling of geoacoustic emission zones, the regions of the earth crust surface with deformations of the order 10^{-8} – 10^{-5}, has been earlier carried out to prove the relation between geoacoustic emission variations and the process of earthquake preparation. Results of the modeling, which was performed earlier, show that the level of calculated deformations at observation sites exceeds the tidal ones but differs by one order from the recorded deformations. This may be associated with the fact that the earth crust was considered as a homogeneous environment. In reality, the earth crust consists of rock layers, some part of which has supercritical state and manifests plastic and quasi-plastic properties. The present paper is devoted to the modeling of the earth crust inhomogeneities impact on spatial distribution of geoacoustic emission zones. Inhomogeneities are described by simple force system distributed over spherical inclusion surface. Intensity of the force action was assumed to be constant. Solutions for the boundary problem of elasticity linear theory were obtained in the form of Green’s functions convolution for homogeneous isotropic elastic half-space. Computational experiments were carried out, and lines of the field component levels of the displacement vectors of the earth crust surface were constructed. It was shown that spherical inclusions affect displacement vector field of the earth crust surface. The impact character depends on the number of inhomogeneous inclusions and their locations relative to the source of a preparing earthquake.

Key words: geoacoustic emission zones, inhomogeneous inclusions, pre-seismic deformations, mathematical modeling.

Received: 01.11.2024; Revised: 20.11.2024; Accepted: 25.11.2024; First online: 27.11.2024

For citation. Gapeev M. I., Solodchuk A. A. Modeling of the impact of environment inhomogeneous inclusions on the formation of geoacoustic emission zones. Vestnik KRAUNC. Fiz.-mat. nauki. 2024, 49: 4, 9-23. EDN: UULYOS. https://doi.org/10.26117/2079-6641-2024-49-4-9-23.

Funding. The work was funded by Russian Science Foundation [grant number 22-11-00064 “Modeling dynamic processes in geospheres taking into account hereditarity”, https://rscf.ru/project/22-11-00064].

Competing interests. There are no conflicts of interest regarding authorship and publication.

Contribution and Responsibility. All authors contributed to this article. Authors are solely responsible for providing the final version of the article in print. The final version of the manuscript was approved by all authors.

^{\ast}Correspondence: E-mail: gapeev.sci@yandex.ru

The content is published under the terms of the Creative Commons Attribution 4.0 International License

© Gapeev M. I., Solodchuk A. A., 2024

© Institute of Cosmophysical Research and Radio Wave Propagation, 2024 (original layout, design, compilation)

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Information about the authors

Gapeev Maksim Igorevich – Junior Researcher, Lab. of Acoustic Research, Institute of Cosmophysical Research and RadioWave Propagation FEB RAS, Paratunka, Russia, ORCID 0000-0001-5798-7166.

Solodchuk Aleksandra Andreevna – Ph. D. (Phys. & Math.), Senior Researcher, Lab. of Acoustic Research, Scientific Secretary, Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS, Paratunka, Russia, ORCID 0000-0002-6761-8978.

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