论文部分内容阅读
借鉴初流量法的思想,引入初流速来抵消在裂隙网络干区实际不存在的流速,将Darcy定理扩展到整个区域,定义了在整个区域上的非线性边值问题,并将潜在溢出面边界条件归纳为Signorini型边界条件,建律了等价的变分不等式提法。通过结合连续型的Heaviside函数,给出了基于变分不等式的初流量有限元迭代算法,研制开发了相应的计算程序,通过两个典型算例验证了本文算法在求解复杂裂隙网络渗流自由面的有效性和鲁棒性。
Drawing on the idea of the initial flow method, the initial flow rate is introduced to counteract the non-existent flow velocity in the dry zone of the fractured network. The Darcy’s theorem is extended to the whole region, and the nonlinear boundary value problem is defined over the whole region. The conditions are summarized as Signorini boundary conditions and the equivalent variational inequalities are built. By combining the continuous Heaviside function, the initial flow finite element iteration algorithm based on variational inequality is given, and the corresponding calculation program is developed. Two typical examples show that the proposed algorithm is effective in solving the seepage free surface of complex fracture network Effectiveness and robustness.