Fracture-matrix transfer function in fractured porous media

Abstract

One of the mathematical models dealing with fluid flow in fractured porous media is the dual porosity model. The key issue governing this model is the transfer function which representing fracture-matrix interaction. Many formulas for this function had been presented since the 1960s. In this work, a review for these formulations was done. Based on the assumption used in deriving the transfer function formulas, they are classified into two groups. The first group includes those derived assuming semi-steady (pseudo-steady) state flow and the second includes those assuming transient state flow. This work will help worker selecting the formulation that best represent the flow situation and the type of porous media.