On the spatial behavior in the theory of swelling porous elastic soils

This paper is concerned with the study of the spatial behavior of the processes associated with a mixture consisting of three components: an elastic solid, a viscous fluid and a gas. An appropriate time-weighted surface power function is used in order to describe the spatial behavior of the processes in question. Spatial estimates of Saint–Venant type (for bounded bodies) and Phragm en–Lindel€of type (for unbounded bodies) with time-dependent and time-independent rates are established. For unbounded bodies the asymptotic spatial behavior of the processes is also studied by means of an appropriate volumetric measure