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本文提出了堤坝三维饱和——非饱和瞬态渗流有限元分析的一种新方法——高斯点法。本法是根据饱和——非饱和渗流规律建立的数学模型,将堤坝内饱和——非饱和区耦合在一起,构成整体的分析膜型,然后利用数值积分时高斯点处压力选取计算参数来进行单元刚度矩阵的计算,从而解决了单元内存在的非饱和渗透参数不同的问题。也解决了由于饱和区边界条件突变引起的计算不稳定问题。该法计算量小,迭代格式简单,算例表明了该法的有效性。
This paper presents a new method of finite element analysis of unsaturated three-dimensional saturation-unsaturated transient seepage of a dam-Gaussian point method. This method is based on the mathematical model of the saturated-unsaturated seepage law. The saturation-unsaturated area of the dam is coupled together to form an overall analysis membrane type, and then the pressure is selected using Gaussian point pressure calculation parameters for numerical integration. The calculation of the element stiffness matrix solves the problem of the different saturated permeability parameters present in the cell. It also solves the problem of computational instability caused by abrupt changes in the saturation boundary conditions. The method has a small amount of calculation and simple iterative format. The example shows the effectiveness of the method.