Effect of the inertia term in one-dimensional fluid flow in deformable porous media

Abstract

An analytical investigation to study the effect of inertial forces on the one-dimensional fluid flow in deformable porous media caused by a sudden increase in external stress is presented. The solutions show that the presence of an inertial force leads to higher excess piezometric pressure and a slower subsidence rate in the early stages. However, in terms of magnitude, the effect seems to be insignificant.