渗流场随机性的随机有限元分析  

Analysis of random characteristics of seepage field by stochastic finite element method

作　　者：王飞[1,2] 王媛[1,2] 倪小东[1,2] 

机构地区：[1]河海大学岩土力学与堤坝工程教育部重点实验室,南京210098 [2]河海大学岩土工程科学研究所,南京210098

出　　处：《岩土力学》2009年第11期3539-3542,共4页Rock and Soil Mechanics

基　　金：973国家重点基础研究发展计划"复杂条件下坝堤溃决机制与风险调控理论"之课题二"堤防溃决水-土耦合动力学机理"(No.2007CB714102);教育部博士点基金"基于随机有限元的堤防渗透失稳风险分析"(No.20040294003)

摘　　要：基于一阶Taylor随机有限元法,推导出相应的渗流场随机分析中渗流响应量(水头和水力梯度)的随机响应公式,进而实现三维稳定渗流场随机有限元分析,并编制了相应的程序。在分析中,将渗流区域材料的渗透张量视为三维各向异性随机场,利用三维可分离向量随机场的局部平均法对随机场进行离散,根据参数选取的不同,可以离散出不同数量的随机变量。最后,给出一个算例,对离散出随机变量数量不同的情况分别进行随机分析,将分析结果和仅仅将渗透张量视为三维随机变量得到的结果对比,验证了所提方法的可行性。An analysis of 3-D steady seepage field by the stochastic finite element method （SFEM） is performed. The formulas of response variables （water level and hydraulic gradient） in stochastic seepage analysis are deduced based on first order Taylor series SFEM; and then the stochastic analysis of seepage field is performed; and a corresponding program is developed. The permeability tensor of infiltration domain is dealt with 3-D anisotropic random field; and vector separable local average method is adopted for discretization of random field. The number of random variables derived by discretization will be various if the parameters are selected with different values. Finally, an example is given and discussed; the results of random seepage field in cases with different numbers of variables are derived. Then the feasibility of the proposed approach is proved by comparing these results with the results which are derived when the permeability tensor is only dealt with random variable.

关 键 词：渗流场 随机场 局部平均离散 一阶Taylor随机有限元 

分 类 号：O357[理学—流体力学]