Dynamic behavior of saturated poroviscoelastic media

Summary The Vardoulakis-Beskos model for the dynamics of nearly and fully saturated poroelastic soils and the Aifantis-Beskos model for the dynamics of fully saturated, fissured, poroelastic rocks are here extended to include viscoelastic material behavior. Linear hereditary isotropic viscoelasticity of the relaxation type for the solid phase is considered. Correspondence principles are established for both models in the Laplace transformed domain. The one-dimensional dynamic column problem associated with both of the above proroviscoelastic soil and rock models is solved by an analytical-numerical procedure to illustrate the theory and assess the effect of viscoelasticity on the response.