STOCHASTIC ANALYSIS OF WATER FLOW IN HETEROGENEOUS MEDIA  

作　　者：YANGJin-zhong WANGWei-ping CAIShu-ying LIShao-long 

机构地区：[1]NationalKeyLaboratoryofWaterResourcesandHydropowerEngineeringScience,WuhanUniversity,Wuhan430072,China

出　　处：《Journal of Hydrodynamics》2005年第3期313-322,共10页水动力学研究与进展B辑（英文版）

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina(GrantNos:50279039,50379042).

摘　　要：A stochastic model for saturated-unsaturated flow is developed based on the combination of the Karhunen-Loeve expansion of the input random soil properties with a perturbation method. The saturated hydraulic conductivity k_ s (x) is assumed to be log-normal random functions, expressed by f(x). f(x) is decomposed as infinite series in a set of orthogonal normal random variables by the Karhunen-Loeve (KL) expansion and the pressure head is expand as polynomial chaos with the same set of orthogonal random variables. With these expansions, the stochastic saturated-unsaturated flow equation and the corresponding initial and boundary conditions are represented by a series of deterministic partial differential equations which can be solved subsequently by a suitable numerical method. Some examples are given to show the reliability and efficiency of the proposed method.A stochastic model for saturated-unsaturated flow is developed based on the combination of the Karhunen-Loeve expansion of the input random soil properties with a perturbation method. The saturated hydraulic conductivity k_ s (x) is assumed to be log-normal random functions, expressed by f(x). f(x) is decomposed as infinite series in a set of orthogonal normal random variables by the Karhunen-Loeve (KL) expansion and the pressure head is expand as polynomial chaos with the same set of orthogonal random variables. With these expansions, the stochastic saturated-unsaturated flow equation and the corresponding initial and boundary conditions are represented by a series of deterministic partial differential equations which can be solved subsequently by a suitable numerical method. Some examples are given to show the reliability and efficiency of the proposed method.

关 键 词：saturated-unsaturated flow Karhunen-Loeve (KL) expansion perturbation method stochastic numerical modeling 

分 类 号：O211.6[理学—概率论与数理统计]