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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2016, Number 1(12), Pages 48–54
DOI: https://doi.org/10.18454/2079-6641-2016-12-1-48-54 (Mi vkam118) 		 
MATHEMATICAL MODELING

On the lognormal law of frequency distribution in high-frequency geoacoustic emission pulses

A. V. Vodyanovaa, Yu. V. Marapuletsba

a Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
b Institute of Cosmophysical Researches and Radio Wave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
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DOI: https://doi.org/10.18454/2079-6641-2016-12-1-48-54
Abstract: The paper is devoted to the detection of the law of frequency distribution in high-frequency geoacoustic emission signals generated in the result of dislocation changes in sedimentary rocks. Sparse approximation is used for emission pulse processing. As a consequence, a signal is decomposed into atoms with a definite frequency corresponding to the size of a shear source. On the basis of Kolmogorov criteria, it was ascertained that distribution of atoms in a geoacoutstic signal corresponds to the lognormal law.
Keywords: high-frequency acoustic emission, sparse approximation, lognormal law.
Received: 16.02.2016
English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, Volume 12, Issue 1, Pages 41–47
DOI: https://doi.org/10.18454/2313-0156-2016-12-1-41-47
Bibliographic databases:
Document Type: Article
UDC: 517.953
MSC: 74S60
Language: Russian
Citation: A. V. Vodyanova, Yu. V. Marapulets, “On the lognormal law of frequency distribution in high-frequency geoacoustic emission pulses”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 1(12), 48–54; Bulletin KRASEC. Phys. & Math. Sci., 12:1 (2016), 41–47
Citation in format AMSBIB
\Bibitem{VodMar16}
\by A.~V.~Vodyanova, Yu.~V.~Marapulets
\paper On the lognormal law of frequency distribution in high-frequency geoacoustic emission pulses
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2016
\issue 1(12)
\pages 48--54
\mathnet{http://mi.mathnet.ru/vkam118}
\crossref{https://doi.org/10.18454/2079-6641-2016-12-1-48-54}
\elib{https://elibrary.ru/item.asp?id=25828461}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2016
\vol 12
\issue 1
\pages 41--47
\crossref{https://doi.org/10.18454/2313-0156-2016-12-1-41-47}
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