边坡可靠度的Bayes估计及后验稳健性
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中图分类号:

TU42

基金项目:

国家自然科学基金(41877242,41790442,41772278)


Bayesian estimation and posterior robustness of slope reliability
Author:
  • XIA Zengxuan

    XIA Zengxuan

    School of Geological Engineering and Surveying, Chang’an University, Xi’an 710054, China; Water Cycle and Geological Environment Observation and Research Station for the Chinese Loess Plateau, Ministry of Education, Zhengning 745399, China
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  • LI Ping

    LI Ping

    School of Geological Engineering and Surveying, Chang’an University, Xi’an 710054, China; Water Cycle and Geological Environment Observation and Research Station for the Chinese Loess Plateau, Ministry of Education, Zhengning 745399, China
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  • CAO Bo

    CAO Bo

    School of Geological Engineering and Surveying, Chang’an University, Xi’an 710054, China; Water Cycle and Geological Environment Observation and Research Station for the Chinese Loess Plateau, Ministry of Education, Zhengning 745399, China
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  • LI Tonglu

    LI Tonglu

    School of Geological Engineering and Surveying, Chang’an University, Xi’an 710054, China; Water Cycle and Geological Environment Observation and Research Station for the Chinese Loess Plateau, Ministry of Education, Zhengning 745399, China
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  • SHEN Wei

    SHEN Wei

    School of Geological Engineering and Surveying, Chang’an University, Xi’an 710054, China; Water Cycle and Geological Environment Observation and Research Station for the Chinese Loess Plateau, Ministry of Education, Zhengning 745399, China
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  • KANG Haiwei

    KANG Haiwei

    School of Geological Engineering and Surveying, Chang’an University, Xi’an 710054, China; Water Cycle and Geological Environment Observation and Research Station for the Chinese Loess Plateau, Ministry of Education, Zhengning 745399, China
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    摘要:

    采用边坡自身的稳定性参数构建似然函数,以研究区内21个极限状态坡的稳定性参数为样本,建立先验分布,应用Bayes理论确定后验分布,应用后验稳健性分析方法对西安咸阳国际机场污水排放口泾阳黄土边坡进行稳定性评价。结果表明:后验分布的均值得到了很好的修正,方差小,精度高;当稳定性评价指标先验分布存在5%、10%和15%波动时,后验期望损失依次增大,但均在20%范围内波动,这表明边坡可靠度的Bayes估计法具有很好的稳健性,可对边坡的稳定性进行更为精确地评价。

    Abstract:

    In this study, the reliability calculation results of slope are analyzed based on the Bayesian theory to improve the accuracy. At the first step, the prior distribution and like hood function were formulated according to the stability parameters of 21 slopes in critical state. Then, the posterior distribution was constructed using the Bayesian theory. The proposed method was implemented in evaluating the stability of a loess slope at the sewage outlet of Xi’an Xianyang International Airport in Jingyang County, Shaanxi Province. Results show that the means of the posterior distributions can be well calculated with lower variance and higher accuracy using the new method. In addition, when applying fluctuations of 5%, 10% and 15% in the values of stability parameters of the prior distribution, the posterior expected loss showed an increasing tendency, but within 20% in all three situations. These results indicate that the proposed method is quite robust and is capable of providing more accurate stability analysis results for loess slopes.

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引用本文

夏增选,李萍,曹博,等.边坡可靠度的Bayes估计及后验稳健性[J].河海大学学报(自然科学版),2020,48(3):238-244.(XIA Zengxuan, LI Ping, CAO Bo, et al. Bayesian estimation and posterior robustness of slope reliability[J]. Journal of Hohai University (Natural Sciences),2020,48(3):238-244.(in Chinese))

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  • 在线发布日期: 2020-05-30