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为检验地下止水设施的止水效果,推导了不均匀介质中各向异性三维渗流方程,将饱和流动与非饱和流动的控制方程写成统一的形式,实现了三维空间问题的渗出面的迭代求解法,对通过任意断面的渗透流量的求法提出了新的见解,推导出有限元数值离散格式。对得到的非线性离散方程,用隐式和二阶精度的时间积分法进行计算。采用向量化的共轭梯度法求解大型稀疏线形方程组,具有计算速度快、占用机器内存少之优点。对复杂三维渗透流问题的实际计算,表明本研究可为江河堤防的防水施工和安全检测提供一个科学的工具
In order to test the water stopping effect of underground water stopping facilities, the anisotropic three-dimensional seepage flow equation in inhomogeneous medium was deduced and the governing equations of saturated flow and unsaturated flow were written into a unified form to realize the iteration of three-dimensional space exudation surface Solution method, put forward a new opinion on the method of seepage flow through any section, and deduce finite element numerical discrete form. The obtained nonlinear discrete equation is calculated by implicit and second-order precision time integration method. The use of vectorized conjugate gradient method to solve large sparse linear equations, has the advantages of fast computing speed, taking up less memory in the machine. The actual calculation of the complex three-dimensional seepage flow shows that this study can provide a scientific tool for waterproofing and safety detection of dike