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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016 Number 1(12), Pages 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

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.

UDC: 517.953

MSC: 74S60

Received: 16.02.2016

DOI: 10.18454/2079-6641-2016-12-1-48-54


 English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, 12:1, 41–47

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© Steklov Math. Inst. of RAS, 2024