Study of viscoelastic parameter influence on dynamic response in poroviscoelastic prismatic solid

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Abstract:

Dynamic behavior of poroviscoelastic solids is studied in this paper. Poroviscoelastic problem formulation is based on Biot. s theory of poroelasticity. In order to describe viscous properties of skeleton by means of the correspondence principle such classical viscoelastic models are used: Kelvin-Voigt model, standard linear solid and model with weakly singular kernel. A numerical modelling of wave propagation is done by means of boundary element approach. Boundary element method (BEM) and boundary integral equation (BIE) method are applied to solving three-dimensional boundary-value problems. Solution is obtained in Laplace domain. Numerical inversion of Laplace transform is based on Durbin. s method with variable integration step and Runge-Kutta relying method. Results of numerical experiments are given