Generalized Macroscopic Models for Fluid Flow in Deformable Porous Media I: Theories

摘要: This study developed generalized mathematical models to describe the motion of fluids in porous media, and applied these harmonic excitation applications. The problem fluid flow small channels a periodic elastic solid matrix was studied at pore scale, homogenization technique predict macroscopic behavior reservoirs. Based on study, five separate characteristic were identified according relation between length scale parameter property contrast number. These can be used interpret corresponding responses saturated medium. existing theories, such as Darcy's law, Telegrapher's equation Biot's theory, investigated. numerical results applications are presented Part II study.