Dynamic analysis of a one-dimensional poroviscoelastic column

The response due to a dynamic lending of a poroviscoelastic one-dimensional column is treated analytically. Blot's theory of poroelasticity is general ized to poroviscoelasticity using the elastic-viscoelastic correspondence p rinciple in the Laplace domain. Damping effects of the solid skeletal struc ture and the solid material itself are taken into account. The fluid is mod eled as in the original Blot's theory without any viscoelastic effects. The solution of the governing set of Two coupled differential equations known from the purely poroelastic case is converted to the poroviscoelastic solut ion using rite developed elastic-viscoelastic correspondence in Laplace dom ain. The time-dependent response of the column is achieved by the "Convolut ion Quadrature Method" proposed by Lubich. Some interesting effects of visc oelasticity on the response of the column caused by a stress, pressure, and displacement lending are studied.