Modeling of matrix-fracture transfer function is important in the
simulation of fluid flow in fractured porous media using a dual-porosity
concept. One of the main focuses of this book is to find the transfer
function for the single-phase flow of compressible fluids in fractured
media using the solution of nonlinear gas diffusivity equation. The
developed shape factor and transfer function can be used as an input for
modeling flow of compressible fluids in dual-porosity systems. Another
major purpose of this study is to investigate the effect of the fracture
pressure depletion regime on the shape factor and transfer function for
single-phase flow of a compressible fluid. For accurate prediction of
fluid transfer between the matrix and fracture systems the effect of
variable block size distribution should be considered. The proposed
model is also able to simulate fluid exchange between matrix and
fracture for continuous or discrete block size distributions. This
solution can be simplified to model flow of slightly compressible fluids
like water or oil in dual-porosity (fractured porous) media.