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This article is cited in 1 scientific paper (total in 1 paper)
Opening of a system of cracks – on the mechanism of cyclic lateral eruption of the St. Helens volcano in 1980
V. K. Kedrinskiia, M. N. Davydova, A. A. Pil'nikb, A. A. Chernovab a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract:
The dynamic behavior of a magma melt filling a slotted channel (crack) in a closed explosive hydrodynamic structure is considered. The explosive hydrodynamic structure includes the volcano focal point with a connected vertical channel (conduit) closed by a plug and a system of internal cracks (dikes) near the dome, as well as a crater open to the atmosphere. A two-dimensional model of a slotted eruption is constructed with the use of the Iordanskii–Kogarko–van Wijngaarden mathematical model of two-phase media and the kinetics that describes the basic physical processes in a heavy magma saturated by the gas behind the decompression wave front. A numerical scheme is developed for analyzing the influence of the boundary conditions on the conduit walls and scale factors on the melt flow structure, the role of viscosity in static modes, and dynamic formulations with allowance for diffusion processes and increasing (by several orders of magnitude) viscosity. Results of the numerical analysis of the initial stage of cavitation process evolution are discussed.
Keywords:
magma melt, decompression wave, multiphase mathematical model, cavitation, viscosity, boundary layer, slotted volcanic eruption.
Received: 21.12.2015
Citation:
V. K. Kedrinskii, M. N. Davydov, A. A. Pil'nik, A. A. Chernov, “Opening of a system of cracks – on the mechanism of cyclic lateral eruption of the St. Helens volcano in 1980”, Prikl. Mekh. Tekh. Fiz., 57:4 (2016), 3–15; J. Appl. Mech. Tech. Phys., 57:4 (2016), 577–587
Linking options:
https://www.mathnet.ru/eng/pmtf809 https://www.mathnet.ru/eng/pmtf/v57/i4/p3
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