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Boundary-value problem of three-dimensional poroviscoelasticity is considered.
The basic equations for fluid-saturated porous media proposed by Biot are modified by
applying elastic-viscoelastic principle to classical linear elastic model of the solid skeleton.
To describe viscoelastic properties of the solid skeleton model with weakly singular kernel is
used. Boundary Integral Equations (BIE) method and Boundary-Element Method (BEM) with
mixed discretization are applied to obtain numerical results. Solutions are obtained in Laplace
domain. Modified Durbin's algorithm of numerical inversion of Laplace transform is used to
perform solutions in time domain. An influence of viscoelastic parameter coefficient on
dynamic responses is studied.
Keywords: poroviscoelasticity; dynamic problem; boundary element method. |
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