非饱和土坝稳态渗流场的差分求解

Solution of Two-dimensional Steady-state Seepage for Unsaturated Soil Dam by the Difference Method

立足于非饱和土坝渗流问题的研究现状,本文采用饱和-非饱和渗流分析方法,把土坝饱和区和非饱和区进行统一计算,应用差分原理将二维渗流微分方程转化为代数方程组,并编制MATLAB计算程序求解此代数方程组,从而求解土坝稳态渗流场,所得结果与有关学者由饱和-非饱和有限元渗流分析求得结果比较吻合。

Based on the current research studies on seepage of unsaturated soil dam, the saturated and unsaturated soil is calculated unified by saturated-unsaturated seepage analysis in this paper. The two-dimensional seepage differential equation is translated into a set of algebraic equations by the difference method. Then the set of algebraic equations are solved by MATLAB program to get the solution of steady-state seepage for the dam. Finally, the result is compared with the one got by finite element method.