Bayesian methodology for updating geomechanical parameters and uncertainty quantification

被引:64
|
作者
Miranda, T. [1 ]
Correia, A. Gomes [1 ]
Ribeiro e Sousa, L. [2 ]
机构
[1] Univ Minho, Dept Civil Engn, P-4800058 Guimaraes, Portugal
[2] Lachel Felice & Associates, Morristown, NJ USA
关键词
Geomechanical parameters; Uncertainty; Bayesian probabilities; Underground structures;
D O I
10.1016/j.ijrmms.2009.03.008
中图分类号
P5 [地质学];
学科分类号
0709 ; 081803 ;
摘要
A generic framework for the updating geomechanical parameters is presented. It is based on Bayesian probabilities, and considers several levels of uncertainty. It allows one to properly update the probability distribution function of a given parameter when new data are available. This framework is applied to the case of deformability modulus updating in a large underground structure. Two different approaches were tested in terms of initial knowledge about the parameter, namely no knowledge, and a prior distribution of the parameter based on geological/geotechnical data and application of analytical solutions based on the empirical classification systems. The updating was carried out using the framework together with the results of high quality in situ tests. The Bayesian framework was shown to be a mathematically valid way to deal with the problem of the geomechanical parameter updating and of uncertainty reduction related to the parameter's real value. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1144 / 1153
页数:10
相关论文
共 50 条
  • [1] Bayesian methodology for diagnosis uncertainty quantification and health monitoring
    Sankararaman, Shankar
    Mahadevan, Sankaran
    STRUCTURAL CONTROL & HEALTH MONITORING, 2013, 20 (01): : 88 - 106
  • [2] Bayesian model updating using stochastic distances as uncertainty quantification metrics
    Bi, S.
    Broggi, M.
    Beer, M.
    Zhang, Y.
    PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING (ISMA2018) / INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS (USD2018), 2018, : 5157 - 5167
  • [3] Updating the models and uncertainty of mechanical parameters for rock tunnels using Bayesian inference
    Hongbo Zhao
    Bingrui Chen
    Shaojun Li
    Zhen Li
    Changxing Zhu
    Geoscience Frontiers, 2021, 12 (05) : 230 - 242
  • [4] Updating the models and uncertainty of mechanical parameters for rock tunnels using Bayesian inference
    Zhao, Hongbo
    Chen, Bingrui
    Li, Shaojun
    Li, Zhen
    Zhu, Changxing
    GEOSCIENCE FRONTIERS, 2021, 12 (05)
  • [5] Novel Nonprobabilistic Bayesian Uncertainty Quantification Method for Structures with Interval Parameters
    Wu, Peng
    Hu, Wenshuo
    Li, Yunlong
    Liu, Zhenchen
    Liu, Beibei
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2023, 20 (01)
  • [6] Quantification of cohesive fracture parameters based on the coupling of Bayesian updating and the boundary element method
    Ferreira Cordeiro, Sergio Gustavo
    Leonel, Edson Denner
    Beaurepaire, Pierre
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2017, 74 : 49 - 60
  • [7] Influence of Uncertainty of Soil Hydraulic Parameters on Stability of Unsaturated Slopes Based on Bayesian Updating
    Yeh, Hsin-Fu
    Huang, Tsien-Ting
    Yang, Ya-Sin
    Ke, Chien-Chung
    GEOFLUIDS, 2021, 2021
  • [8] Uncertainty Quantification for Bayesian Optimization
    Tuo, Rui
    Wang, Wenjia
    INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 151, 2022, 151
  • [9] Uncertainty quantification in Bayesian inversion
    Stuart, Andrew M.
    PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL IV, 2014, : 1145 - 1162
  • [10] UNCERTAINTY QUANTIFICATION FOR BAYESIAN CART
    Castillo, Ismael
    Rockova, Veronika
    ANNALS OF STATISTICS, 2021, 49 (06): : 3482 - 3509