用变分不等式理论求解渗流问题的截止负压法

The cut-off negative pressure method for soling filtration problems based on the theory of variational inequalities

提出了用变分不等式的理论求解一般稳定渗流问题的新方法─截止负压法，它直接以压力场为未知函数，采用罚函数有限元并结合固定网格迭代确定自由面，能求解任意边界、任意结构的非均质各向异性渗流问题。

In this paper, a new procedure called ' cut-off Negative pressure Method' is developed to solve general percolation problems with the theory of variotional inequalities. In this method the pressure field is regarded directly as unknown function and accurately locates the free surface of unconfined seepage flow with penalty function FEM and fix meshing iteration. It is capable of accommodating any boundary and structure with both in homogeneous and anisotropic permeability fields. The equations and meshing which the procedure involes are fully consistent with a general formulation for geotpehnical engneering problems involving coupled solution of pore fluid pressures and soil skeleten displacement.