岩土力学 ›› 2023, Vol. 44 ›› Issue (8): 2409-2418.doi: 10.16285/j.rsm.2022.0950

• 岩土工程研究 • 上一篇    下一篇

多失效模式下基于区间非概率的岩质隧道稳定可靠度分析

李翔,王靖童,魏恒   

  1. 中南大学 资源与安全工程学院,湖南 长沙 410083
  • 收稿日期:2022-06-22 接受日期:2023-03-20 出版日期:2023-08-21 发布日期:2023-08-21
  • 作者简介:李翔,男,1977年生,博士(后),副教授,主要从事深部岩石力学与地下工程可靠度及鲁棒性方面的研究。
  • 基金资助:
    国家自然科学基金(No. 52074350,No.51874354)。

Reliability analysis of rock tunnel stability based on interval non-probability under multiple failure modes

LI Xiang, WANG Jing-tong, WEI Heng   

  1. School of Resources and Safety Engineering, Central South University, Changsha, Hunan 410083, China
  • Received:2022-06-22 Accepted:2023-03-20 Online:2023-08-21 Published:2023-08-21
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (52074350, 51874354).

摘要: 对于岩质隧道工程的稳定可靠度分析,一方面由于岩体参数的统计数据获取困难使得概率可靠度方法难以适用,另一方面其工程稳定与多种失效模式密切相关,须考虑隧道结构体系的可靠度问题。首先,基于区间理论,通过区间变量形式表征不确定性参数;然后,针对岩质隧道工程中多种失效模式并存的情况,引入结构体系可靠度理念,建立基于区间非概率的岩质隧道结构体系可靠度指标计算及其稳定性评价方法;在此基础上,通过工程实例验证了该方法的合理性;最后,定义不确定性参数的波动幅度,进一步分析各失效模式中不同参数对相应可靠度指标以及结构体系可靠度指标的影响。分析结果表明,各失效模式相应的非概率可靠度指标均随区间变量范围的增大而降低,且同一参数在不同失效模式中表现出不同的影响;另外,不确定性参数的变化还将导致影响岩质隧道结构体系稳定的主要失效模式发生相应的变化。

关键词: 岩质隧道, 结构体系可靠度, 区间非概率, 多失效模式, 敏感性分析

Abstract: For the reliability analysis of rock tunnel stability, considering the difficulty in obtaining the statistical data on rock mass parameters, there is the potential inadequacy when using the probabilistic reliability method; on the other hand, the rock tunnel stability is intimately pertinent to a variety of failure modes, meaning it is necessary to consider the issue on structural system reliability. First, based on the interval theory, the uncertainty parameters were represented by adopting the interval variables. Subsequently, aiming at the coexistence of multiple failure modes in rock tunnel engineering, the concept of structural system reliability was introduced, and then a structural system reliability method to calculate the reliability index and assess the rock tunnel stability based on the non-probabilistic interval theory was established. On this basis, the rationality of the proposed method was verified via the engineering example. Finally, the fluctuation range of the uncertainty parameters was defined to further analyze the influence of different parameters in each failure mode on the corresponding reliability index and the system reliability index. The results show that the non-probabilistic reliability index of each failure mode decreases with the increase of the range of interval variables, and the same parameter in various failure modes causes different effects. In addition, the change of uncertainty parameters also leads to the variations in the main failure modes that affect the structural system stability of rock tunnel.

Key words: rock tunnel, structural system reliability, interval non-probability, multiple failure modes, sensitivity analysis

中图分类号: TU 457
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