均质黄土坝变形计算参数全局敏感性分析

Global Sensitivity Analysis of Deformation Calculation Parameters of a Homogeneous Loess Dam

邓肯-张E-B模型因其每个参数都有清晰的物理和几何意义,被广泛运用在大坝变形计算中.为探究邓肯-张E-B模型参数之间的交互作用,本文基于Plackett-Burman试验设计和正交试验设计方法,以某均质黄土坝为研究对象,对土坝邓肯-张E-B模型进行全局敏感性分析.通过Plackett-Burman试验设计对邓肯-张E-B模型中参数进行显著性筛选,筛选出高度显著的参数,再对高度显著参数进行考虑交互作用的正交试验设计,得到考虑交互作用的邓肯-张E-B模型参数敏感性排序.结果表明,R_(f)、K_(b)、φ_(0)和K是对土坝变形敏感性最强的4个参数,而n、Δφ和m 3个参数对于土坝变形的影响较小.R_(f)和φ_(0)、R_(f)和K_(b)以及φ_(0)和K_(b)的交互作用对于均质黄土坝变形的敏感性是不可忽视的,甚至其交互作用的敏感性大于单个参数的敏感性.

The Duncan-Chang E-B model is widely used in dam deformation calculations because its parameters have clear physical and geometric meanings.In order to investigate the interaction between the parameters of the Duncan-Chang E-B model,the global sensitivity analysis of Duncan-Chang E-B model was conducted for a homogeneous loess dam based on the Plackett-Burman experimental design and the orthogonal test design methods in this paper.The parameters in the Duncan-Chang E-B model were screened for significance by the Plackett-Burman experimental design,and the highly significant parameters were then subjected to an orthogonal test design considering the interactions to obtain the sensitivity ranking of the Duncan-Chang E-B model parameters considering the interactions.The results show that R_(f),K_(b),φ_(0) and K are the four parameters with the strongest sensitivity to earth dam deformation,while n,Δφ,and m have less influence on earth dam deformation.The interaction of R_(f) and φ_(0),the interaction of R_(f) and K_(b),and the interaction of φ_(0 )and K_(b) have non-negligible sensitivity to earth dam deformation,and the sensitivity of their interactions is even greater than that of individual parameters.