One-dimensional consolidation of poroelastic medium with rheological skeleton

Abstract

In this paper the author presents the results of numerical investigations of poroelastic medium behaviour (consisting of a skeleton and the fluid flowing through the voids in this skeleton) called Biot’s body. It is assumed that the stress-strain state does not achieve the failure limits of the body. The starting point for these considerations is the phenomenon of one-dimensional consolidation of such a medium described by the fundamental poroelastic Biot’s equation and completed by the Biot’s-Darcy flow equation. Additionally in this description the rheological properties of the skeleton of Biot body are modelled by linear visco-elastic Zener’s body (standard body).