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Russian Academy of Sciences
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IssuesArchive of Issues2014-4pp.354-358

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V.S. Polenov, "The propagation of elastic waves in a viscous-fluid-saturated porous medium," J. Appl. Math. Mech. 78 (4), 354-358 (2014)
Year 2014 Volume 78 Issue 4 Pages 354-358
Title The propagation of elastic waves in a viscous-fluid-saturated porous medium
Author(s) V.S. Polenov (Voronezh, Russia, polenov.vrn@mail.ru)
Abstract Elastic shock waves in a viscous-fluid-saturated porous medium are investigated. The porosity is only taken into account with respect to pores communicating with one another, and isolated pores are considered as elements of the elastic part of the porous skeleton. It is shown, using the theory of discontinuity, that in such a medium there are two types of vortex-free waves and one equivoluminal wave. Differential equations and their solution for determining the change in the wave-front intensity are obtained. The effect of the fluid viscosity and porosity on the propagation of spherical waves is demonstrated using an example.
Received 25 August 2012
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892814001105
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