摘要
从Ｔａｙｌｏｒ展开式入手，结合有限元法，直接推导某节点水头的均值、方差和协方差的表达式，特别对输入随机变量较少的非稳定地下水流问题，不会引起随机变量的增加，使Ｔａｙ－ｌｏｒ展开随机有限元法在地下水中的应用得到发展．同时选取二维承压地下水水流问题（有解析解）作为例子，进行了随机数值模拟实验，以检验方法的有效性和局限性．
Based on Taylor Series Expansion and Finite Element Method,the expression of the mean value,variance and covariance of water head at some one node is derived directly with Taylor series expansions.Especially for problems of unstable ground water flow which has less input stochastic variables,it will not increase the number of input variables,so that Taylor series expansion stochastic finite element method can be applied to study ground water flow.At the same time,a 2D confined water flow problem with an analytical is selected as an example,and stochastic numeric simulation test is made to check the effectiveness and limitation of this method.
出处
《煤炭学报》
EI
CAS
CSCD
北大核心
1996年第6期566-570,共5页
Journal of China Coal Society
