变形介质多相流动流固耦合数学模型

变形介质油藏和城市地下水层中由于液体被采出，地层压力下降，有效应力发生变化，使整个含水、含油层的地应力状态改变，多孔介质骨架变形和发生位移，岩石的物性参数（渗透率、孔隙度、压缩系数等）随之变化，这种现象越来越受到人们的注意，本文基于达西定律和岩石力学弹性定律，在以前的科研工作基础上，把岩石骨架变形引入模型中，建立多相流体在变形多孔介质中流动时由于孔隙压力变化耦合数学模型。在此模型中，渗透率、孔隙度、压缩系数均为压力的函数。

Solid-fluid coupling phenomenon in deformable porous media

The formation pressure declines with the production, which changes the total stress state. The variation of stress state causes the displacement of the solid grains and the deformation of rocks. The parameter of rocks (i.e., the permeability, porosity, compressibility etc.) are also changed. This phenomenon is called solid fluid coupling and is considered important in oil field development and the land subsidence during the recovery of groundwater. In this paper two phase fluid (water and oil) flow model considering solid fluid coupling phenomenon was established based on Darcy's law and linear poroelastic theory. In modeling the permeability, porosity and compressibility were regarded as the functions of pressure.