渗流问题单参数摄动随机反演方法

在正演随机模拟方法的基础上,结合Taylor展开式和随机变量的摄动方程,讨论了随机参数反演问题,提出了摄动随机反演方法,给出了一阶均值反演准则和二阶均值反演准则,提出了单随机变量的均值和方差的表示方法,计算均值时采用改进的遗传算法,计算方差时采用统计的方法。给出了一个Thies模型反演导水系数的例子,计算表明该方法简单实用,效果良好。

Single stochastic parameter identification with perturbation method for seepage problem

Stochastic inverse problem is discussed with Taylor series expansions and perturbation equation of random variable.A perturbation method for single stochastic parameter identification was put forward.The first order inverse criterion and the second order inverse criterion of the mean value are derived.Computational methods of the mean value and the variance about the single parameter are given.The improved Genetic algorithm is used for calculating the mean value and the statistical method is used for the variance.An example of stochastic hydraulic conductivity identification about Thies model is given.It is shown from calculation results that the method is simple and has good effectiveness.