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

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2020 Volume 33, Number 4, Pages 86–101 (Mi vkam438)

This article is cited in 2 papers

MATHEMATICAL MODELING

Phenomenological model of the generation of the seismic mode «drumbeats» earthquakes accompanying the eruption of kizimen volcano in 2011-2012

A. A. Shakirovaa, P. P. Firstova, R. I. Parovikb

a Kamchatka Branch of the Federal Research Center «Unified Geophysical Service of the Russian Academy of Sciences»
b Institute for Cosmophysical Research and Radio Wave Propagation, Far East Branch, Russian Academy of Sciences

Abstract: The eruption of the Kizimen volcano in 2011-2012 characterized by stable, almost uniform squeezing of a viscous lava flow with a volume of 0.3 km³. The formation of the lava flow was accompanied by the occurrence of quasiperiodic earthquakes of the “drumbeats” mode with energy classes Ks < 7, recorded at long time intervals. Shown that earthquakes were generated by the movement of the front of a viscous lava flow, which was observed for the first time in the practice of volcanological research. A phenomenological model of “drumbeats” seismic mode generation is proposed. The movement of the front of the lava flow along the slope of the volcano occurred because of intermittent sliding with the inclusion of the «stick-slip» mechanism and the initiation of a self-oscillating process with the generation of a seismic mode «drumbeats». The mathematical model of a fractional nonlinear oscillator qualitatively confirms the plausibility of the phenomenological model of the “drumbeats” mode.

Keywords: Kizimen, eruption, lava flow front, drumbeats, stick-slip, phenomenological model, nonlinear oscillator.

UDC: 550.34 + 517.925.42

MSC: 86A70

DOI: 10.26117/2079-6641-2020-33-4-86-101



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