On the lognormal law of frequency distribution in high-frequency geoacoustic emission pulses
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2016), pp. 48-54 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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A. V. Vodyanova; Yu. V. Marapulets. On the lognormal law of frequency distribution in high-frequency geoacoustic emission pulses. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2016), pp. 48-54. http://geodesic.mathdoc.fr/item/VKAM_2016_1_a5/

[1] Larionov I. A., Marapulets Yu. V., Mischenko M. ,A., “Otklik vysokochastotnoi geoakusticheskoi emissii na aktivizatsiyu plasticheskikh protsessov v seismoaktivnom regione”, Uchenye Zapiski Fizicheskogo Fakulteta MGU, 2014, no. 6, 146311

[2] Marapulets Yu. V., “Vysokochastotnyi akustoemissionnyi effekt”, Vestnik KRAUNTs. Fiziko-matematicheskie nauki, 2015, no. 1(10), 44-53

[3] Afanaseva A. A., Lukovenkova O. O., Marapulets Yu. V., “Primenenie razrezhennoi approksimatsii i metodov klasterizatsii dlya opisaniya struktury vremennykh ryadov akusticheskoi emissii”, Tsifrovaya obrabotka signalov, 2013, no. 2, 30-34

[4] Marapulets Yu. V., Mischenko M. A., Shadrin A. V., Scherbina A. O., Metody issledovaniya vysokochastotnoi geoakusticheskoi emissii: monografiya, KamchatGTU, Petropavlovsk-Kamchatskii, 2007, 106 pp.

[5] Lukovenkova O. O., Tristanov A. B., “Adaptivnyi algoritm soglasovannogo presledovaniya s utochneniem na smeshannykh slovaryakh v analize signalov geoakusticheskoi emissii”, Tsifrovaya obrabotka signalov, 2014, no. 2, 54–57

[6] Lukovenkova O. O., “Ochistka signalov geoakusticheskoi emissii ot prirodnykh i tekhnogennykh shumov metodom razrezhennoi approksimatsii”, Vestnik KRAUNTs. Fiziko-matematicheskie nauki, 2015, no. 2(11), 77–81

[7] Kremer N. Sh., Teoriya veroyatnostei i matematicheskaya statistika: Uchebnik dlya vuzov, YuNITI-DANA, M., 2004, 573 pp.

[8] Rebro I. V., Nosenko V. A., Korotkova N. N., Prikladnaya matematicheskaya statistika dlya tekhnicheskikh spetsialnostei: uchebnoe posobie, IUNYa VolgGTU, Volgograd, 2011, 149 pp.

[9] Gregori G. P., Paparo G., Lognormality and fractality. A unique rationale for different phenomena, Phys. Review. Preprint, 2010