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针对裂缝介质具有多尺度特点,建立了Darcy/Stokes-Brinkman多尺度耦合模型,采用多尺度混合有限元方法,对裂缝介质渗流问题进行了研究。阐述了多尺度混合有限元方法的基本原理,并推导得到Darcy/Stokes-Brinkman方程的多尺度混合有限元计算格式。数值计算结果表明,大尺度Darcy模型能够捕捉到小尺度上裂缝网络渗流特征;与网格粗化、传统有限元方法相比,多尺度混合有限元方法的基函数具有能反映单元内参数变化的优点,在保证计算精度的同时能够减少计算量,对于裂缝油藏具有良好的适用性。
A multi-scale Darcy / Stokes-Brinkman coupling model is established for multi-scale fracture media. The multi-scale mixed finite element method is used to study the seepage problem of fracture media. The basic principle of the multi-scale mixed finite element method is expounded and the multi-scale mixed finite element calculation format of Darcy / Stokes-Brinkman equation is deduced. The numerical results show that the large-scale Darcy model can capture the seepage characteristics of fractured networks on a small scale. Compared with the traditional finite element method, the basis function of the multi-scale mixed finite element method can reflect the variation of parameters in the unit cell Advantages, while ensuring the accuracy of the calculation can reduce the amount of computation, for fractured reservoir has good applicability.