[1]李培平,李典庆,肖特,等.考虑经验模型不确定性的基坑开挖贝叶斯更新[J].自然灾害学报,2018,(04):143-150.[doi:10.13577/j.jnd.2018.0419]
 LI Peiping,LI Dianqing,XIAO Te,et al.Bayesian updating of excavation considering model uncertainty[J].,2018,(04):143-150.[doi:10.13577/j.jnd.2018.0419]
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考虑经验模型不确定性的基坑开挖贝叶斯更新
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《自然灾害学报》[ISSN:/CN:23-1324/X]

卷:
期数:
2018年04期
页码:
143-150
栏目:
出版日期:
2018-09-28

文章信息/Info

Title:
Bayesian updating of excavation considering model uncertainty
作者:
李培平 李典庆 肖特 曹子君
武汉大学水资源与水电工程科学国家重点实验室, 工程风险与防灾研究所, 湖北 武汉 430072
Author(s):
LI Peiping LI Dianqing XIAO Te CAO Zijun
State Key Laboratory of Water Resources and Hydropower Engineering Science, Institute of Engineering Risk and Disaster Prevention, Wuhan University, Wuhan 430072, China
关键词:
最大地表沉降失效概率模型不确定性贝叶斯更新监测数据
Keywords:
maximum ground settlementfailure probabilitymodel uncertaintyBayesian updatingfield observation data
分类号:
TU91;X43;X9
DOI:
10.13577/j.jnd.2018.0419
摘要:
基坑开挖工程中,最大地表沉降的预测及其失效概率的评估一直是工程师所关心的关键问题。以往在利用经验模型对最大地表沉降进行预测时,模型误差通常被忽略或者视为常数,与实际情况不符。本文提出了一种能够考虑经验模型不确定性的贝叶斯更新方法,将模型偏差系数视为随机变量,并利用现场观测数据对其进行不断更新,更新结果可用于后续阶段的基坑开挖最大地表沉降和失效概率的预测。以台北TNEC基坑开挖为例,将所提方法应用于Peck模型、Ou模型、KJHH模型等3种经验模型。结果表明:3种模型一般都会高估最大地表沉降,其中Peck模型偏差最大,KJHH模型次之,Ou模型最小,而KJHH模型偏差比Ou模型的变异性更小,通过所提方法可以有效考虑模型不确定性的影响;随着开挖的进行,基于KJHH模型的计算结果相比其它2个模型更加准确;在所研究的算例中,监测数据随着开挖的进行而增加,使得模型偏差系数和土体参数的不确定性降低,最终导致基坑失效概率的降低。
Abstract:
During the excavation, the prediction of maximum ground settlement and the assessment of failure probability are always concerned by engineers. Previous studies that adopt the empirical model to predict the maximum ground settlement usually ignored the model error or considered it as a constant, which was inconsistent with the actual situation. This paper proposes a Bayesian updating approach to consider the model uncertainty of an empirical model. The model bias factor is considered as a random variable and updated with field observations during the excavation. The updated results can be used to predict the maximum ground settlement and failure probability in subsequent stages. Through the TNEC excavation case study, the proposed method is applied to three empirical models, namely the Peck model, Ou model, and KJHH model. Results indicate that all the three models would overestimate the maximum ground settlement, among which the Peck model is the most biased one, followed by Ou model and KJHH model. The variability of model bias factor of KJHH model is smaller than that of Ou model. The effect of model uncertainty can be properly considered using the proposed Bayesian method. As the excavation proceeds, the KJHH model performs better than the other two models, and the failure probability of the project decreases. The latter is because uncertainties in model bias factor and soil properties reduce when more and more field observations are introduced.

参考文献/References:

[1] Hsiao E C L, Schuster M, Juang C H, et al. Reliability analysis and updating of excavation-induced ground settlement for building serviceability assessment[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2008, 134(10):1448-1458.
[2] 尹盛斌, 丁红岩. 软土基坑开挖引起的坑外地表沉降预测数值分析[J]. 岩土力学, 2012, 33(4):1210-1216. YIN Shengbin, DING Hongyan. Numerical analysis of estimation of ground surface settlement outside pit induced by soft-soil excavation[J]. Rock and Soil Mechanics, 2012, 33(4):1210-1216. (in Chinese)
[3] Peck R B. Deep excavation and tunneling in soft ground[C]//7th International Conference on soil Mechanics and Foundation Engineering. Mexico City:International Society for Soil Mechanics and Foundation Engineering, 1969:225-290.
[4] Ou C Y, Hsieh P G, Chiou D C. Characteristics of ground surface settlement during excavation[J]. Canadian Geotechnical Journal, 1993(30):758-767.
[5] Kung T C, Juang C H, Hsiao E C L, et al. Simplified model for wall deflection and ground-surface settlement caused by braced excavation in clays[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2007, 133(6):731-747.
[6] 徐军, 郑颖人. 基于响应面方法的围岩参数随机反分析[J]. 岩土力学, 2001, 22(2):167-170. XU Jun, ZHENG Yingren. Random back analysis of field geotechnical parameter by response surface method[J]. Rock and Soil Mechanics, 2001, 22(2):167-170. (in Chinese)
[7] 张俊峰, 王建华, 陈锦剑, 等. 跨越运营地铁隧道超大基坑开挖的土体参数反分析[J]. 上海交通大学学报, 2012, 46(1):42-46, 52. ZHANG Junfeng, WANG Jianhua, CHEN Jinjian, et al. 3-D FEM back-analysis of an over size and deep excavation[J]. Journal of Shanghai Jiaotong University, 2012, 46(1):42-46, 52. (in Chinese)
[8] Zhang L L, Zhang J, Zhang L M, et al. Back analysis of slope failure with Markov chain Monte Carlo simulation[J]. Computers and Geotechnics, 2010(37):905-912.
[9] Juang C H, Luo Z, Atamturktur S, et al. Bayesian updating of soil parameters for braced excavations using field observations[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2013, 139(3):395-406.
[10] 张湾, 李典庆,曹子君. 基坑开挖参数反分析贝叶斯方法比较研究[J]. 武汉大学学报(工学版), 2016, 49(6):806-811. ZHANG Wan, LI Dianqing, CAO Zijun. Comparative study of Bayesian methods for back analysis of deep excavation[J]. Engineering Journal of Wuhan University, 2016, 49(6):806-811. (in Chinese)
[11] Qi X H, Zhou W H. An efficient probabilistic back-analysis method for braced excavations using wall deflection data at multiple points[J]. Computers and Geotechnics, 2017(85):186-198.
[12] Cao Z J, Wang Y. Bayesian approach for probabilistic site characterization using cone penetration tests[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2013, 139(2):267-276.
[13] Cao Z J, Wang Y. Bayesian model comparison and characterization of undrained shear strength[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2014, 140(6):04014018.
[14] Wang Y, Cao Z J. Probabilistic characterization of Young’s modulus of soil using equivalent samples[J]. Engineering Geology, 2013(159):106-118.

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备注/Memo

备注/Memo:
收稿日期:2018-04-30;改回日期:2018-05-28。
基金项目:国家重点研发计划(2016YFC0800200);国家自然科学基金项目(51528901,51679174,51779189)
作者简介:李培平(1993-),男,硕士研究生,主要从事水利水电岩土工程可靠度分析与风险控制方面的研究.E-mail:peipingli@whu.edu.cn
通讯作者:肖特(1991-),男,博士后,主要从事水利水电岩土工程可靠度分析与风险控制方面的研究.E-mail:short_xiaote@whu.edu.cn
更新日期/Last Update: 1900-01-01