Nonlinear transient phenomena in saturated porous media

In this report the transient 'static' and 'dynamic' response of saturated porous medium is analyzed. The saturated porous medium viewed as a two-phase system whose state is described by the stresses, displacements, velocities and accelerations within each phase. The coupled field and constitutive equations based on mixture's theories are presented, and solved numerically by the use of the finite element method. Time integration is achieved by using an implicit/explicit predictor/multicorrector scheme developed by Hughes and co-workers. The procedure allows for a convenient selection of implicit and explicit elements, and for an implicit/explicit split of the various operators appearing in the differential equations. Accuracy and versatility of the proposed procedure are demonstrated by applying it to obtain solution to various dynamic and pseudo-static, one- and two-dimensional initial value problems.