加权截距法确定渗流自由面的有限元方法探讨

针对现有固定网格法确定渗流自由面存在穿过自由面的单元等效渗透矩阵和积分域难以确定等问题,提出了加权截距法确定渗流自由面的新型有限元分析方法,解决了相应渗流溢出点的确定方法问题,并在此基础上,开发了相应的渗流有限元分析程序.该方法具有穿过自由面的单元等效渗透矩阵及其积分域易于确定和分析过程简单等优点,应用于工程实例分析,并将理论与试验结果进行比较分析,表明加权截距法确定渗流自由面的有限元分析方法可以满足工程要求,进一步完善了固定网格法确定渗流自由面的有限元分析理论与方法.

Study on Finite Element Method for Determining Free Surface of Seepage by Intercept-Weighted Method

Aiming at the problem that it is difficult for the existing fixed mesh method to determine both equivalent seepage matrix and integral area of crossed free surface elements,a new seepage finite element method called interceptweighted method was proposed,and the relevant software was developed.This new method can solve the problem of seepage with free surface,and could also determine the overflow point of seepage.Moreover,this new method was applied to practical engineering.And the comparison between the results obtained by the new method and the test data from the example showed a good agreement,which indicated that this new method was reasonable and could meet the requirements in engineering practice.So the intercept-weighted method has greatly improved the fixed mesh theory for finite element method of seepage analysis.