ABSTRACT

Dynamic behaviour of poroelastic saturated materials is usually described using the Lagrange classical mechanics - Biot theory (Biot 1941, 1956a, 1956b) - or using the mechanics of continuum medium using the Porous Mixtures theory (Fillunger, 1913), which involves the concept of volume fractions (Schanz & Diebels 2003). Some simplifications are possible in both theories for common soil dynamic analyses, which result in similar equilibrium equations. In accordance with these theories, the interaction dynamic force between the solid skeleton and the porous fluid is expressed by:

where k = permeability; n = porosity; η= viscosity of fluid; γw = bulk unit weight of fluid; vs = velocity of solid; and vw = velocity of fluid.