裂缝多孔介质中达西流动的有限差分方法

用差分方法来模拟二维裂缝多孔介质中的单相达西流动问题.采用降维模型对二维区域内的裂缝进行建模,相比整个区域而言裂缝的宽度很小并且把裂缝视为一个一维的界面,流体通过裂缝会和周围多孔介质发生耦合现象.在裂缝和周围多孔介质中,流体流动均遵循达西定律和守恒定律.采用差分方法来求解降维模型中推导的流体流动方程.通过数值实验验证了该方法的有效性,并证明了裂缝是快速通道还是地质屏障取决于裂缝处渗透率张量的大小.

Finite Difference Methods for Darcy Flow in Fracture Porous Media

In this paper, finite different methods has been used to simulate the single phase Darcy flow in two-dimensional fractured porous media. The reduced model has been used to model the fracture in the two-dimensional region. The fractures have a small width and are treated as interfaces between subdomain media. In fracture and surrounding porous media, the fluid flow obeys Darcy''s law and conservation law. The difference method has also been used to solve the fluid flow equations derived from the dimensionality reduction model. The validity of the method is verified by numerical experiments. It is demonstrated whether the fracture acts as a fast pathway or geological barrier is totally determined by the value of its permeability tensor.