A review on non-linear unsteady one dimensional flow in coarse porous media

In this paper, we describe the flow through porous media with emphasis on coarse granular media. A one-dimensional empirical model for single phase Newtonian fluid flow in porous media was introduced by Darcy law. It has long been recognized that the flow through coarse granular media cannot adequately be described by the Darcy Law. The quadratic and power lows are two typical formulations that can be used to extend the Darcy law to non-Darcy flows through coarse porous media. This study of flow through media consisting of large-sized grains is important in a number of civil engineering applications especially Rock fill dams which are usually used for affecting the flood and reducing the peak discharge. In this study, the materials properties for the fluid and porous medium (porosity, viscosity, coarse sieve analysis) can be specified. We employing the constitutive theory, a nonlinear relationship is developed for a Forchheimer equation and finally a generalized from of Forchheimer equation is derived

Keywords:

non-linear , unsteady flow , Forchheimer , non-Darcy flow , coarse porous media