Transient Filtration in a Porous Elastic Cylinder

Abstract

The time-dependent filtration of liquid through the wall of a soft, porous tube can be quite unlike that of a hard, porous tube. Under conditions described, the seepage is limited to thin layers near each surface, and in one of these layers, liquid seepage proceeds in a direction opposite to the sense of the applied pressure drop across the tube wall. This occurs because it is impossible to produce isotropic contact stress in the solid if kept at constant volume by the slowness of seepage. The liquid must then bear the entire isotropic stress.