为研究土体渗透系数随机场对渗流响应量的影响,采用中心点法离散随机场,选用高斯(双指数)型相关函数生成协方差矩阵,由Cholesky分解得到下三角矩阵与独立同分布的标准正态分布随机数向量相乘,得到以n维随机向量形式表达的随机场,从理论上证明了该建模方法的正确性。基于Taylor展开随机有限元法,给出了渗流响应量(水头和水力梯度)的随机响应公式,进而编制相应程序,所得300m级超高心墙坝的水头、水力梯度均值和标准差分布合理,验证了该方法的可行性。 In order to study the influence of random field on seepage response of soil permeability coefficient, a discrete-time central field method is used to generate the covariance matrix by Gaussian (double exponential) correlation function and the lower triangular matrix and independent identically distributed By multiplying the normal distribution random numbers vector, the random field expressed in the form of n-dimensional random vectors is obtained, and the correctness of the modeling method is proved theoretically. Based on the Taylor expansion stochastic finite element method, the random response formula of seepage response (head and hydraulic gradient) is given, and then the corresponding program is compiled. The distribution of head and hydraulic gradient mean and standard deviation of 300m supercentric core dam is reasonable, The feasibility of this method is verified.