岩体渗流分析的无网格方法

岩体的渗透破坏、岩体中石油渗流、地下工程的防渗设计等无不与渗流计算有关。但由于岩体渗流介质的非均质性和各向异性特性、边界条件和几何形状的复杂性、初始条件的不确定性等因素制约着解析法在渗流计算中的广泛应用。应用无网格方法来求解岩体的渗流问题，通过变分原理详细推导无网格方法求解岩体渗流的离散方程及相关的计算公式，并利用有限元耦合方法对边界条件进行了处理。通过两个数值算例说明该方法的正确性和有效性。

The meshless method for analyzing seepage of rockmass

The seepage analysis is important to many engineerings including seepage failure of the rockmass, petrolic seepage in the rockmass and waterproof design of the underground rock engineering. The analytical method will be restricted by some practical factors such as the non-homogenous and anisotropy of the seepage medium for the rockmass, uncertain initial conditions, the boundary condition and the complex geometrical shape etc. The meshless method for the seepage of the rockmass is developed. The seepage problems of the rockmass are mainly solved by the meshless method. The discrete equations and relational computation formula of the method are derived by the variational principle. The boundary conditions are considered by the finite element method. At last, the validity and accuracy of the present coupling method solution are illustrated by two numerical examples.