基于IRSM的隧道顶板楔形体稳定性可靠度分析

doi:10.13722/j.cnki.jrme.2022.1338

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摘要顶板楔形体稳定性分析是评价隧道顶板失稳破坏风险的重要手段，且不确定性分析方法越来越多地应用于岩土工程领域。针对楔形体真实功能函数高度非线性所导致的计算效率低下的问题，以线性响应面函数近似替代真实功能函数，并改进传统响应面法取样点的选取，构建一种基于向量投影响应面法(improved response surface method，IRSM)的隧道顶板楔形体稳定性分析方法，利用楔形体经典的破坏模式验证IRSM的有效性，并分析其适用性；从参数分布类型、变异性以及相关性3个角度开展隧道顶板楔形体可靠度分析。结果表明：与一阶可靠度法和蒙特卡罗模拟法相比，提出的IRSM既能保证计算精度，避免复杂非线性功能函数的梯度求解，大大简化计算流程，显著提升计算效率；岩土体参数不确定性对隧道顶板楔形体失效概率具有显著的影响，其中，有效内摩擦角的变异性以及有效内摩擦角和半顶角的正相关性对失效概率影响最为显著；建议以变异系数COV = 0.2为选取概率分布的阈值。

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	张士朝1
	2
	高启栋1
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	王亚琼1
	2
	马晓博1
	2
	周海孝1
	2
	王志丰1
	2

关键词 ：隧道工程, 顶板楔形体, 向量投影响应面法, 可靠度, 变异性, 相关性

Abstract：Stability analysis of roof wedge is an important means to assess the risk of tunnel roof instability，and uncertainty analysis methods are widely applied in the field of geotechnical engineering. For the low computational efficiency caused by the high nonlinearity of the real function of the wedge，the linear response surface function was used to approximately replace the function of wedge. At the same time，upgrading the selection of sampling points in traditional response surface method，a reliability method for tunnel roof wedge was proposed based on vector projection response surface method. Then，the traditional RSM was improved(IRSM). Basing on a classical failure model of wedge，the effectiveness of the method was verified. The influence of parameter variability，probability distribution type and correlation on tunnel stability were systematically discussed. The results show that the accuracy and efficiency of the proposed method is higher than first order reliability method and Monte Carlo simulation. IRSM can not only ensure the accuracy，but also avoid the gradient solution of complex nonlinear performance functions，greatly simplify the calculation process and significantly improve the efficiency. The uncertainty of rock and soil mass parameters has a significant impact on the failure probability of tunnel roof wedge. The uncertainty of rock and soil parameters has a significant impact on the failure probability of the tunnel roof wedge. The variability of effective friction angle and the positive correlation between joint effective friction angle and semi-apical angle have the most remarkable effect on the failure probability. It is recommended that the coefficient of variation COV = 0.2 should be the threshold for selecting the probability distribution.

Key words： tunnel engineering tunnel roof wedge vector projection response surface method reliability variability correlation

引用本文:

张士朝1，2，高启栋1，2，王亚琼1，2，马晓博1，2，周海孝1，2，王志丰1，2. 基于IRSM的隧道顶板楔形体稳定性可靠度分析[J]. 岩石力学与工程学报, 2023, 42(11): 2753-2764.
ZHANG Shichao1，2，GAO Qidong 1，2，WANG Yaqiong1，2，MA Xiaobo1，2，ZHOU Haixiao1，2，WANG Zhifeng1，2. Reliability analysis of tunnel roof wedge structure based on IRSM. , 2023, 42(11): 2753-2764.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.1338 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I11/2753

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