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中南大学学报(自然科学版)

Journal of Central South University

第49卷    第7期    总第287期    2018年7月

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文章编号:1672-7207(2018)07-1734-08
围岩变形准则下考虑目标失稳概率的岩石隧道可靠度逆向计算
李翔,李夕兵,周子龙

(中南大学 资源与安全工程学院,湖南 长沙,410083)

摘 要: 针对软弱质岩石环境下的隧道围岩变形机制,建立基于围岩变形失稳控制的极限状态方程。为了研究其相应的可靠度逆向问题即在已知目标失稳概率条件下,反求工程参数以确保满足预先规定的可靠度水平,引入逆向可靠度方法并归纳其具体的计算实施流程。采用该方法验证其在岩石隧道可靠度逆向分析过程中待求工程参数的计算精度和效率,分析待求工程参数在不同初值条件下对计算结果的影响。在此基础上,考虑不同水平的目标失稳概率,通过该方法开展基于围岩变形准则的岩石隧道稳定性设计。研究结果表明:逆向可靠度方法对于待求工程参数能以较高效率获得满意的计算结果,且其初值选取不会影响该方法求解的准确性,仅对其收敛速度有一定影响;利用逆向可靠度方法可方便调控待求工程参数值,为岩石隧道工程设计提供参考依据。

 

关键词: 岩石隧道;围岩变形;目标失稳概率;逆向可靠度;稳定性设计

Inverse calculations for rock tunnel reliability considering target probability of failure based on deformation criterion of surrounding rock
LI Xiang, LI Xibing, ZHOU Zilong

School of Resources and Safety Engineering, Central South University, Changsha 410083, China

Abstract:Based on the deformation mechanism in the environment of the weak rock surrounding the tunnel, the limit-state functions were developed based on the control of the deformation instability for the surrounding rock. In order to analyze the corresponding inverse reliability problem, i.e. back-calculate the engineering parameters to ensure the pre-defined level of reliability when the target probability of failure is known, an inverse reliability method was introduced and its calculation steps were also summarized. By using the method for the rock tunnel, the computational accuracy and efficiency were both verified in obtaining the engineering parameters during the inverse reliability analysis, and then the influence of their various initial values on the calculation results was investigated. Considering the different levels of the target probability of failure, the rock tunnel stability design was performed based on the deformation criterion of surrounding rock. The results show that the proposed inverse reliability method used to seek the engineering parameters can obtain satisfactory results in an economical way. Moreover, the choice of their initial values has no effect on the accuracy of the proposed method, and only has certain effect on the convergence rate during iteration. With the aid of the proposed method, the engineering parameters can conveniently be adjusted, thus providing guidelines for engineering design of the rock tunnel.

 

Key words: rock tunnel; deformation of surrounding rock; target probability of failure; inverse reliability; stability design

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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