THE DYNAMIC DEFORMATION OF THREE-COMPONENT POROUS MEDIA

Victor S. Polenov; Lyubov A. Kukarskikh; Dmitry A. Nitsak

doi:10.15826/umj.2020.1.010

Ural Mathematical Journal (Jul 2020)

THE DYNAMIC DEFORMATION OF THREE-COMPONENT POROUS MEDIA

Victor S. Polenov,
Lyubov A. Kukarskikh,
Dmitry A. Nitsak

Affiliations

Victor S. Polenov: Air Force Academy named after Professor N.E.Zhukovsky and Y.A.Gagarin, 54a Old Bolsheviks Str., Voronezh, 394064
Lyubov A. Kukarskikh: Air Force Academy named after Professor N.E.Zhukovsky and Y.A.Gagarin, 54a Old Bolsheviks Str., Voronezh, 394064
Dmitry A. Nitsak: Air Force Academy named after Professor N.E.Zhukovsky and Y.A.Gagarin, 54a Old Bolsheviks Str., Voronezh, 394064

DOI: https://doi.org/10.15826/umj.2020.1.010
Journal volume & issue: Vol. 6, no. 1

Abstract

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A mathematical model of the dynamic deformation of three-component elastic media saturated with liquid and gas, given by elastic moduli and coefficients characterizing the porosity and compressibility of the liquid and gas, is considered. Formulas for determining the propagation velocity of monochromatic waves in ternary porous media are obtained. The existence of three longitudinal waves depends on the discriminant of a cubic equation and the velocity ratio.

elasticity, medium, fluid, stress, deformation, displacement.

Published in Ural Mathematical Journal

ISSN: 2414-3952 (Online)
Publisher: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.
Country of publisher: Russian Federation
LCC subjects: Science: Mathematics
Website: https://umjuran.ru

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