非均匀介质的三维渗流有限元模型

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

Finite element model of 3D seepage flow for non-uniform medium

D seepage model of saturated unsaturated flow for non uniform medium was derived. The techniques of determining the seepage faces and computing the discharge rate through a specified section were proposed. As the vectorized conjugate gradient solver is used, the present finite element model is computational efficient. This model has been used to simulate 3D flow around a dam foundation. The results show that both the seepage flow rate and the water elevation of underground water are affected by the scale of the imperviour core.