APPROXIMATE AND ANALYTIC SOLUTIONS FOR DEFORMATION OF FINITE POROUS FILTERS

The deformation, using linear poroelasticity, of a two-dimensional box of porous material due to fluid flow from a line source is considered as a model of certain filtration processes. Analytical solutions for the steady-state displacement, pressure, and fluid velocity are derive d when the side walls of the filter have zero solid stress. A numerica l solution for the case where the porous material adheres to the side walls is also found. It will be shown, however, that simpler approxima te solutions can be derived which predict the majority of the deformat ion behavior of the filter.