Two-fluid mathematical model for compressible flow in fractured porous media

摘要

A three-dimensional isothermal transient compressible two phase flow of liquid and gas in a low permeability fractured porous media model has been developed from the general mass and momentum balances using volume averaging techniques. The emphasis of the paper is on the available analytical and semi-empirical correlations and closure relations. The interfacial mass and momentum transfer terms in the averaged formulation are explained. The assumptions used in the model's formulation are that a condition of capillary equilibrium exists throughout the media, momentum transfer between mobile fluid phases is negligible in the porous media and exists in the fracture, and fluid phase change has been neglected. The pore size distribution of the studied porous media was represented by three mean pore diameters: liquid pore network, gas pore network, and fractures. An average pore diameter and length for each network were determined using the gamma distribution function. The model was validated and solved for a hypothetical porous media and fractured domain.