单裂缝多孔介质渗透特性研究

单裂缝多孔介质渗透特性的研究是裂缝性介质渗流分析的基础。针对含单裂缝的多孔介质,分别利用Darcy方程和Stokes方程描述基岩和裂缝中的流动,采用连续边界条件、Bea-vers-Joseph边界条件和Beavers-Joseph-Saffm an边界条件,得到考虑基岩渗透率的广义立方定律和分别满足3种边界条件的单裂缝介质的等效渗透率理论计算公式。参数分析表明,由3种边界条件所得到的单裂缝介质的等效渗透率较为一致(尤其当α>1时),因此应用经典的连续边界条件可简化问题,提高计算效率。研究结果为含裂缝多孔介质流动分析的参数确定提供了理论依据。

Research on permeability characteristics of single-fractured porous media

Research on permeability characteristics of single-fractured porous media is the basis of seepage modeling in fractured media.Darcy equation and Stokes equation are respectively employed to describe fluid flow in single-fractured porous media.A general cubic law taking account of matrix permeability is derived by using continuous boundary condition,Beavers–Joseph boundary condition and Beavers–Joseph-Saffman boundary condition,and a theoretical formula of equivalent permeability is derived for single-fractured porous media by respectively satisfying the three boundary conditions.Analysis of parameters shows that the equivalent permeability of single-fractured porous media derived from the three boundary conditions is almost consistent(especially when α>1),therefore the calculation can be simplified by using the classical continuous boundary condition.The result of this research provides theoretical foundation for determining parameters in analysis of fluid flow in fractured porous media.