基于随机配点法的饱和-非饱和水流运动模拟
Saturated and Unsaturated Flow Simulation Based on Stochastic Collocation Method
作者：唐云卿(武汉大学 水资源与水电工程科学国家重点实验室)；史良胜(武汉大学 水资源与水电工程科学国家重点实验室)；杨金忠(武汉大学 水资源与水电工程科学国家重点实验室)
Author：Tang Yunqing(State key Lab. of Water Resources and Hydropower Eng. Sci., Wuhan Univ.,)；Shiliangsheng(State key Lab. of Water Resources and Hydropower Eng. Sci., Wuhan Univ.,)；Yang Jinzhong(State key Lab. of Water Resources and Hydropower Eng. Sci., Wuhan Univ.,)
收稿日期：2011-05-16 年卷（期）页码：2012,44(5):30-37
期刊名称：工程科学与技术
Journal Name：Advanced Engineering Sciences
关键字：非饱和水流运动；空间变异性；随机配点法；随机数值模型
Key words：unsaturated flow;spatial variability;stochastic collocation method;stochastic numerical modeling
基金项目：国家自然科学基金资助项目(41072189);国家“973”计划资助项目（2010CB42880204）
中文摘要
为解决土壤水分运动的不确定性问题，研究了随机配点方法，并应用此方法建立了饱和-非饱和水分运动的随机模型，考虑了土壤分层及参数分布函数的差异，视渗透系数等参数为随机输入，探讨了土壤中水分运动的随机数值模拟，分析了随机配点法的计算性能和选点原则。研究结果表明：基于随机配点法的饱和-非饱和水分运动模拟相比于传统的MonteCarlo模拟极大地节省了计算成本，提高了计算效率；随机配点法可以直接在经典非饱和模型基础上搭建随机模型，这种方法能够快速地构建出水头的概率分布函数；不同的非饱和输入参数对水头的不确定性产生不同影响；随机参数的分布类型会影响到水分运动不确定性的预测。
英文摘要
A method based on stochastic collocation of saturated and unsaturated water flow simulation was proposed to solve the problem of uncertainty of soil water movement. The nonuniform soil layers and the different distribution functions of soil hydraulic parameters were considered. The numerical simulation of water flow in random medium was assessed with hydraulic conductivity as random variables. It was shown that the proposed simulation saves a great deal of computational cost and has superior efficiency compared to the Monte Carlo simulation, and achieves good calculation accuracy simultaneously. The influence to water flow of the distribution functions of the input stochastic parameters is also discussed.
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