摘要
两相饱和多孔介质的基本方程组和计算参数的选取在一定程度上是混乱的.本文利用连续介质力学理论,结合空间平均化方法,根据应力-应变关系、运动学关系、连续性方程及广义Darcy定律,建立了横观各向同性液体饱和多孔介质的基本方程组;通过将该基本方程组与Biot理论的基本方程组进行比较,确定了Biot方程组中的弹性常数Bi与弹性常数cij的关系,并得到了确定Biot参数mi和ri的计算公式——Biot参数与渗透率、孔隙率及黏性系数的关系;最后对几种特殊情形进行了讨论,给出了简化方程组.
Although the saturated poroelastic media are given more and more interests, the basic equations and calculating parameters about the media are in confusion to a certain extent. In this work using mechanics of continuum and the method of space average, the basic equations of transversely isotropic fluid-saturated poroelastic media are obtained, in terms of stress-strain＇ s relations, kinetics equations, continuity equations and generalized Darcy law. Comparing those equations with Biot＇ s equations, the relations of elastic constants Bi with elastic constants cij are determined, and the explicit expressions of Biot＇ s parameters mi and ri , i.e. , the relations of Biot＇s parameters with permeability, viscosity and porosity, are obtained. Finally the particular cases are discussed and the simplified basic equations are given.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
2007年第1期131-137,共7页
Chinese Journal of Geophysics
基金
国家自然科学基金项目(59978083)资助
关键词
横观各向同性
流体饱和
饱和土
基本方程组
Transversely isotropic, Fluid-saturated, Poroelastic medium, Basic equation
