Macroscopic modelling of gas flow through a fractured porous medium

Abstract

Summary: This work is concerned with modelling the seepage of gas through a rigid fractured medium. It summarises results obtained using the homogenization method for periodic structures. Thereby, unlike the phenomenological approaches, the macroscopic behaviour is deduced from the physics at the microscopie scales, without any prerequisite. Then, the result of the comparison of the homogenized model with the model of Warren and Root for a slightly compressible fluid flow is presented. Finally, a correction of pseudo steady state phenomenological models is proposed.