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利用全空间块体搜索技术获得三维裂隙网络的渗流路径并将其三角化,得到用于三维裂隙网络渗流计算的有限元网格.引入广义Darcy定理,建立了全域上三维裂隙网络裂隙面和裂隙交界处的渗流基本方程,结合Signorini型边界条件,给出了全域上的渗流偏微分方程(PDE)提法.为方便离散求解,提出了一个与之等效的变分不等式(VI)提法,并利用格林公式展开,证明了它们的等效性.结合罚Heaviside函数,建立了三维裂隙网络无压渗流问题的有限元求解格式,并编制了相应的程序.通过与均质矩形坝算例的对比,验证了算法的合理性.对空间复杂裂隙网络的无压渗流问题的计算表明,所提算法对复杂三维问题具有很强的适用性,并能很好的刻画三维裂隙渗流问题诸如“优势流”等明显特征.
The full-block search technique is used to obtain and triangulate the seepage path of the three-dimensional fracture network, and the finite element mesh used in the seepage calculation of the three-dimensional fracture network is obtained. By introducing the generalized Darcy’s theorem, the fracture surface and the fracture of the three- Based on the basic flow equation of percolation and the Signorini boundary conditions, a general PDE formulation is given. For the convenience of discrete solution, an equivalent Variational Inequality (VI) formulation is proposed , And their equivalence is proved by using Green’s formula.With the penalty Heaviside function, a finite element solution format of the three-dimensional fractured network under pressureless seepage flow is established and the corresponding program is compiled.According to the example of homogeneous rectangular dam The calculation of the pressureless seepage flow in the complicated fractured network shows that the proposed algorithm has strong applicability to complex three-dimensional problems and can well describe the three-dimensional fracturing seepage problems such as “Advantage flow” and other obvious features.