Bulletin KRASEC. Phys. & Math. Sci. 2016. V. 12. no. 1. pp. 41-47. ISSN 2313-0156

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DOI: 10.18454/2313-0156-2016-12-1-41-47

MATHEMATICAL MODELING

MSC 74S60

ON THE LOG-NORMAL LAW OF FREQUENCY DISTRIBUTION IN HIGH-FREQUENCY GEOACOUSTIC EMISSION PULSES

A.V. Vodyanova¹, Yu.V. Marapulets¹²

¹Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
²Institute of Cosmophysical Research and Radio Wave Propagation, Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
E-mail: marpl@ikir.ru

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 log-normal law.

Key words: high-frequency acoustic emission, sparse approximation, log-normal law.

 

References

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For citation: Vodyanova A.V., Marapulets Yu.V. On the log-normal law of frequency distribution in high-frequency geoacoustic emission pulses. Bulletin KRASEC. Physical and Mathematical Sciences 2016, vol. 12, no 1, 41-47. DOI: 10.18454/2313-0156-2016-12 1-41-47

Original article submitted: 16.02.2016

Vod

 

Vodyanova Arina Valeryevna – Graduate student, Vitus Bering Kamchatka State University.

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   Marapulets Yuri Valentinovich – Dr. Sci. (Phys. & Math.), Associate Professor, Deputy Director for Science Institute of Space Physics Research and Radio Wave Propagation FEB RAS, Professor of Dep.
computer science Vitus Bering Kamchatka State University.

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