裂隙岩体温度-渗流耦合数值流形方法研究(研究生论坛)

在建立岩体裂隙岩体温度-渗流耦合微分控制方程的基础上，基于裂隙网络渗流理论和数值流形理论，通过分析考虑裂隙作用的温度场和流形覆盖与裂隙网络的关系，以裂隙网络节点水头、覆盖温度函数为求解量，提出了裂隙岩体温度-渗流耦合的数值流形方法。该方法利用数值流形理论中网格、覆盖及流形单元的关系，可以在同一数学网格下实现了对温度-渗流耦合场的迭代求解。由于渗流裂隙网络必定会与材料边界相交，所以数学网格不受边界及裂隙限制，能够有效的避免常规方法中裂隙处网格划分问题，因此该方法特别适合于模拟裂隙岩体的耦合问题。最后，运用该模型对部分算例进行了计算，验证了方法的正确性。

Study on Numerical Manifold Method of Coupled Thermo-Hydraulic of Fractured Rock Masses

Base on the differential control equations of the coupled thermo-hydraulic (TH) processes of fractured rock masses, with the fracture network seepage method and Numerical Manifold Method (NMM), the temperature field which considered fractures and the relationship between covers and fracture network are analyzed. Then, with the values of node water heads and cover temperature functions, this paper presents the NMM for coupled TH of fractured rock masses. The proposed method uses the relationships between meshes, covers and manifold elements of NMM, which can solve coupled TH under the same mathematical meshes. Furthermore, because the fracture network of seepage intersects with material boundaries undoubtedly, the mathematical meshes are free in any situations, which can avoid the problem of divide meshes in fractures, therefore, the proposed method especially applicable to simulate the coupled problem in fractured rock masses. At last, some examples are calculated to illuminate the valid of this method.