Stochastic back analysis of permeability coefficient using generalized Bayesian method

作     者：Zheng Guilan Wang Yuan Wang Fei Yang Jian 

作者机构：College of Traffic College of Ocean Hohai University Nanjing 210098 P. R. China Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering Hohai University Nanjing 210098 R R. China Geotechnical Research Institute of Hohai University Nanjing 210098 P. R. China 

出 版 物：《Water Science and Engineering》 (水科学与水工程（英文版）)

年 卷 期：2008年第1卷第3期

页      面：83-92页

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 08[工学] 080104[工学-工程力学] 0815[工学-水利工程] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (Grant No. 50579090) the National Basic Research Program of China (973 Program, Grant No. 2007CB714102) National Science and Technology Support Program of China (Program for the Eleventh Five-Year Plan, Grant No. 2006BAB04A06) 

主　　题：permeability coefficient stochastic back analysis generalized Bayesian method variable metric algorithm 

摘      要：Owing to the fact that the conventional deterministic back analysis of the permeability coefficient cannot reflect the uncertainties of parameters, including the hydraulic head at the boundary, the permeability coefficient and measured hydraulic head, a stochastic back analysis taking consideration of uncertainties of parameters was performed using the generalized Bayesian method. Based on the stochastic finite element method （SFEM） for a seepage field, the variable metric algorithm and the generalized Bayesian method, formulas for stochastic back analysis of the permeability coefficient were derived. A case study of seepage analysis of a sluice foundation was performed to illustrate the proposed method. The results indicate that, with the generalized Bayesian method that considers the uncertainties of measured hydraulic head, the permeability coefficient and the hydraulic head at the boundary, both the mean and standard deviation of the permeability coefficient can be obtained and the standard deviation is less than that obtained by the conventional Bayesian method. Therefore, the present method is valid and applicable.