Influence of rock mass spatial variability on probability of 
tunnel roof wedge failure

ZHANG Wen-gang; WANG Qi; LIU Han-long; CHEN Fu-yong

doi:10.16285/j.rsm.2020.1153

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Influence of rock mass spatial variability on probability of tunnel roof wedge failure

更新时间：2026-06-25

- Influence of rock mass spatial variability on probability of tunnel roof wedge failure
- Vol. 42, Issue 5, Pages: 1462-1472(2021)
- 作者机构：
  
  1. 重庆大学山地城镇建设与新技术教育部重点实验室,重庆,400045
  2. 重庆大学土木工程学院,重庆,400045
  3. 重庆大学库区环境地质灾害防治国家地方联合工程研究中心,重庆,400045
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2020.1153
  CLC： U451.2;U458.1
- Online First：08 May 2021，
  
  Published：2021
- 稿件说明：
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ZHANG Wen-gang, WANG Qi, LIU Han-long, et al. Influence of rock mass spatial variability on probability of tunnel roof wedge failure[J]. 2021, 42(5): 1462-1472.
DOI：

ZHANG Wen-gang, WANG Qi, LIU Han-long, et al. Influence of rock mass spatial variability on probability of tunnel roof wedge failure[J]. 2021, 42(5): 1462-1472. DOI： 10.16285/j.rsm.2020.1153.

摘要

在隧道的设计和施工中，通常采用确定性分析方法计算安全系数，从而衡量隧道拱顶楔形体的稳定性，而传统的确定性方法无法考虑和描述岩体天然存在的空间变异性。基于极限平衡法推导了考虑岩体节理摩擦角空间变异性的隧道拱顶楔形体安全系数积分表达式，并通过通用离散元程序（universal distinct element code，简称UDEC）对该表达式进行了验证。基于随机场理论和蒙特卡罗模拟（Monte Carlo Simulation，简称MCS）方法，将生成的岩体节理摩擦角随机场代入推导的隧道拱顶楔形体安全系数积分表达式中，计算了考虑隧道地质力学参数和几何参数不确定性的隧道拱顶楔形体失效概率。结果表明：岩体节理摩擦角的空间变异性对隧道拱顶楔形体失效概率有显著影响，忽略岩体力学参数的空间变异性会明显高估隧道楔形体的失效概率。

Abstract

In tunnel design and construction

the stability evaluation of tunnel roof wedge usually adopts traditional deterministic analysis methods

which cannot appropriately reflect the spatial variability of rock mass. Based on limit equilibrium method

an efficient approach for evaluating the safety factor integral expression of tunnel roof wedge is presented in this study. This approach considers the influence of spatial variability of rock mass joint friction angle and is validated by universal distinct element code (UDEC). Based on random field method and Monte Carlo simulation (MCS)

a generated random field is substituted into the established safety factor integral expression to calculate the safety factor of the tunnel wedge

in which the spatial variability of rock mass joint friction angle is well considered. The failure probability of roof wedge is calculated with consideration of geological and geometry parameters uncertainties. The results indicate that the spatial variability of rock mass joint friction angle has a significant influence on the failure probability of tunnel roof wedge. Ignoring the spatial variability of rock mass mechanical parameters will cause an overestimated failure probability of tunnel roof wedge.

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