ON PROPAGATION OF WAVES IN THREE-COMPONENT POROUS MEDIA
Abstract
A mathematical model of wave propagation in 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.
Three-component media must be taken into account when solving a significant number of applied problems arising in various fields of human activity (soils, porous sintered composite materials, building materials, oil industry, etc.). However, the complexity of describing the effects of the interaction of components, heat transfer, and other related processes has led to the fact that, until now, generally accepted models (elastic medium-liquidgas) have not been fully developed. Therefore, it is of interest to develop such a mathematical three-component model that could take into account the porosity of such a medium.
In this publication, based on the theory of discontinuities, the generalized Hooke's law, and the equations of motion of a medium, formulas are obtained for determining the propagation velocity of a wave surface (acceleration waves) in three-component porous media
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