节理岩体渗流的无网格与有限元耦合方法

节理岩体的渗透破坏、节理岩体中石油渗流、地下工程的防渗设计等无不与渗流计算有关,而节理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应用。应用无网格法来求解节理岩体的渗流问题,建立节理岩体渗流的无网格与有限元耦合方法。通过变分原理详细推导无网格与有限元耦合方法求解节理岩体渗流的离散方程及相关计算公式,并利用耦合方法对边界条件进行处理。最后,给出的数值算例说明该方法的正确性和有效性。

COUPLING MESHLESS METHOD AND FINITE ELEMENT METHOD FOR SEEPAGE OF JOINTED ROCK MASS

The seepage analysis is important to many engineerings including seepage failure of the jointed rock mass,petrolic seepage in the jointed rock mass and waterproof design of the underground engineering.The analytical method can be restricted by some practice factors such as the non-homogenous and anisotropy of the seepage medium for the jointed rock mass,uncertain initial conditions,the boundary condition and the complex geometrical shape etc.The coupling meshless method and finite element method for the seepage of the jointed rockmass are developed in the paper.The seepage problems of the jointed rock mass 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 coupling method.At last,the validity and accuracy of the present coupling method solution are illustrated by two numerical examples.