Abstract:
The article is devoted to mathematical modeling of high-frequency (from units to tens of kilohertz) geoacoustic emission of near-surface sedimentary rocks recorded in Kamchatka. Dislocation emission sources are located in the volume of rocks bounded by a hemisphere of radius 37 m centered at the registration point. A typical signal of high-frequency geoacoustic emission is a combination of relaxation pulses. These pulses are closest in shape to the Berlage pulses. The article proposes a mathematical model of high-frequency geoacoustic emission of near-surface sedimentary rocks in the form of a system of coupled oscillators. Each oscillator describes a dislocation source of geoacoustic emission. The interaction between the sources is carried out only through radiation. A system of two coupled oscillators is considered. The Rosenbrock method was used to find numerical solutions for different values of the coupling coefficient between sources. Oscillograms, spectra and phase trajectories of the process under consideration are constructed. An analysis of the solutions showed that as the coupling coefficient increases, a stable energy exchange between the oscillators is observed.
The name of the funding programme: The work was carried out with the financial support of the Russian Science Foundation (project No. 22-11-00064)..
Organization that has provided funding: Russian Science Foundation.
Citation:
M. I. Gapeev, A. A. Solodchuk, R. I. Parovik, “Coupled oscillators as a model of high-frequency geoacoustic emission”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 88–100
\Bibitem{GapSolPar22}
\by M.~I.~Gapeev, A.~A.~Solodchuk, R.~I.~Parovik
\paper Coupled oscillators as a model of high-frequency geoacoustic emission
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2022
\vol 40
\issue 3
\pages 88--100
\mathnet{http://mi.mathnet.ru/vkam556}
\crossref{https://doi.org/10.26117/2079-6641-2022-40-3-88-100}
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https://www.mathnet.ru/eng/vkam556
https://www.mathnet.ru/eng/vkam/v40/i3/p88
This publication is cited in the following 5 articles:
D. F. Sergienko, R. I. Parovik, “Ob odnoi sisteme svyazannykh lineinykh ostsillyatorov s drobnym treniem i nepostoyannymi koeffitsientami dlya opisaniya geoakusticheskoi emissii”, Vestnik KRAUNTs. Fiz.-mat. nauki, 49:4 (2024), 36–49
A. A. Solodchuk, M. I. Gapeev, D. F. Sergienko, R. I. Parovik, Mathematics of Planet Earth, 12, Hereditary Models of Dynamic Processes in Geospheres, 2024, 83
D. F. Mingazova, R. I. Parovik, “Nekotorye aspekty kachestvennogo analiza modeli vysokochastotnoi geoakusticheskoi emissii”, Vestnik KRAUNTs. Fiz.-mat. nauki, 42:1 (2023), 191–206
R. I. Parovik, “Drobnaya model geoakusticheskoi emissii”, Vestnik KRAUNTs. Fiz.-mat. nauki, 45:4 (2023), 24–35
Yu.I. Senkevich, M. A. Mischenko, “Metodika otsenki sostoyaniya pripoverkhnostnykh osadochnykh porod po rezultatam nablyudenii dinamicheskikh kharakteristik geoakusticheskoi emissii”, Vestnik KRAUNTs. Fiz.-mat. nauki, 45:4 (2023), 109–121
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