深部隧道支护结构区间非概率可靠度分析

doi:10.16265/j.cnki.issn1003-3033.2023.12.0546

摘要/Abstract

摘要：

针对深部隧道不确定性数据匮乏的工程现状,引入区间非概率方法,围绕其在深部隧道支护结构可靠度领域的初步应用开展研究。首先,以深部隧道围岩剪切滑移变形机制为例,采用联合支护模式建立总支护抗力的计算方法;然后,基于区间非概率的理论框架,考虑区间扩张问题的影响,探讨该方法针对深部隧道支护结构可靠度研究的适用性;最后,定义不确定性参数区间变化的波动幅度,分析参数敏感性,揭示单参数波动与多参数波动耦合的不同作用下对支护结构可靠度影响程度的差异性。结果表明:不确定性参数区间的波动幅度越大,非概率可靠度指标的取值越小;且波动耦合的参数数量越多,非概率可靠度指标值的降幅越大,导致对支护结构可靠度的不利影响越显著。

关键词: 深部隧道, 支护结构, 区间非概率, 可靠度, 敏感性分析, 多参数波动耦合

Abstract:

Aiming at the current situation of a lack of uncertain data, an interval non-probabilistic tool was introduced to perform a preliminary investigation in the domain of reliability analysis for the support structures of the deep tunnel. Firstly, the mechanism of the shearing slip displacement in the weak rock surrounding the deep tunnel was taken as an illustrative example, and a method was developed to calculate the total support resistance by using the combined support modes. Subsequently, based on the framework of the interval non-probabilistic theory, and meanwhile considering the influence caused by the interval extension problem, the applicability of the interval non-probabilistic tool was discussed for reliability study on the support structures of the deep tunnel. Eventually, a fluctuation range was defined to characterize the variations of the interval used for those uncertain parameters, and on this basis the difference for the level of those effects of fluctuations regarding a single-parameter and multiple-parameters coupling on the reliability of the support structures was revealed via the sensitivity analyses. The results manifest that the greater the fluctuation range of the interval for the uncertain parameters, the smaller the value of the non-probabilistic reliability index will be. Moreover, the larger the number of uncertain parameters involved in the fluctuation coupling, the higher the decrease in the value of the non-probabilistic reliability index will be. Hence, this situation makes the unfavorable effects on the reliability of the support structures more significant.

Key words: deep tunnel, support structures, interval non-probability, reliability, sensitivity analysis, multi-parameters fluctuation coupling

李翔, 魏恒, 王靖童. 深部隧道支护结构区间非概率可靠度分析[J]. 中国安全科学学报, 2023, 33(12): 67-76.

LI Xiang, WEI Heng, WANG Jingtong. Interval non-probabilistic reliability analysis of support structures for deep tunnel[J]. China Safety Science Journal, 2023, 33(12): 67-76.

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围岩及支护结构参数			取值
不确定性参数	围岩参数	c/MPa	[0.53, 0.61]
		φ/(°)	[33.6, 36.4]
		q₀/MPa	[16.45, 18.55]
		(θ₁-θ₂)/(°)	[120, 130]
	支护结构参数	d/m	[0.331, 0.381]
		A/m	[0.17, 0.23]]
		S_e/m	[0.76, 0.84]
		S_t/m	[0.76, 0.84]
确定性参数		τ_f /MPa	3.2
	I_Q/mm²		50.26
	τ_j /MPa		150
	I_G/mm²		452.39
	σ_k/MPa		360

不确定性参数	F	η降幅
φ	0.07 ~ 0.20	0.799 8
(θ₁-θ₂)		0.012 2
c		0.493 6
S_t		0.457 1
S_e		0.368 9
q₀		0.012 2
d		0.160 1
A		0.028 9

双参数波动耦合	F	η降幅
φ,c	0.07 ~ 0.20	0.903 0
φ,S_t		0.887 1
φ,S_e		0.854 4
c,S_t		0.771 0
c,S_e		0.704 2
S_t,S_e		0.672 0

三参数波动耦合	F	η降幅
c,φ,S_e	0.07 ~ 0.20	0.930 9
c,φ,S_t		0.956 1
c,S_e,S_t		0.905 3
φ,S_e,S_t		0.918 9

单参数波动与多参数波动耦合	F	η降幅
φ	0.07 ~ 0.20	0.799 8
φ,c		0.903 0
φ,c,S_t		0.956 1
φ,c,S_t,S_e		0.970 9