基于逆可靠度分析的隧道开挖面极限支护压力优化设计

doi:10.11779/CJGE202110008

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摘要探讨了采用一阶可靠度方法（FORM）的逆形式对浅埋圆形隧道开挖面极限支护压力进行可靠度优化设计（RBD）的可能性。逆可靠度分析的计算过程可以在随机变量的原始空间中实现,并且可以直接提供一些满足目标可靠度指标的设计信息。针对隧道开挖面的坍塌和隆起破坏模式,通过三维有限元极限分析（FELA）计算极限支护压力的确定性解,由此建立极限状态方程并进行逆可靠度设计。在概率研究中,逆可靠度方法通过与蒙特卡罗模拟的结果对比显示出足够的准确性。在此基础上,本研究针对不同工况进行了一系列支护压力的可靠度优化设计和概率分析,获得相应的RBD结果。最后,讨论了土体抗剪强度参数的空间变异性对支护压力的影响。

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	姬建
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	闵凡路
	吴志军

关键词 ：隧道开挖面稳定, 反分析, 有限元极限分析, 概率设计, 空间变异性

Abstract：The possibility of reliability-based design (RBD) for shallow circular tunnels is explored using the simplified inverse first-order reliability method (FORM). The inverse reliability analysis can directly offer some design information that meets the targeted reliability index, and the calculation procedure can be easily implemented in the original space of random variables. In the tunnel face stability analysis, the deterministic results of the support pressures are obtained through the three-dimensional finite element limit analysis (FELA), and the limit state functions are established for the collapse and blow-out failure modes of the excavated face, respectively. In the probabilistic study, the inverse reliability method shows adequate accuracy by comparing with Monte Carlo simulations. On this basis, a series of probability analysis and RBD of the limit support pressures for maintaining the tunnel face stability in cohesive soil and sandy soil strata are carried out. Some insightful RBD results are obtained with respect to different scenarios of shear strength uncertainties. Finally, the effects of spatial variability of shear strength parameters of soils on the required support pressures of tunnel face are discussed.

Key words： tunnel face stability inverse analysis finite element limit analysis probabilistic design spatial variability

收稿日期: 2021-02-06

ZTFLH:

TU431

基金资助:国家自然科学基金项目（51879091,52079045）

作者简介: 姬建(1983—),男,博士,教授,主要从事岩土工程可靠度、边坡工程、地下空间风险分析等领域的科研与教学工作。E-mail: JI0003AN@e.ntu.edu.sg。

引用本文:

姬建, 张哲铭, 夏嘉诚, 闵凡路, 吴志军. 基于逆可靠度分析的隧道开挖面极限支护压力优化设计[J]. 岩土工程学报, 2021, 43(10): 1825-1833. JI Jian, ZHANG Zhe-ming, XIA Jia-cheng, MIN Fan-lu, WU Zhi-jun. Inverse reliability-based design of limit support pressure for tunnel face stability. Chinese J. Geot. Eng., 2021, 43(10): 1825-1833.

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http://manu31.magtech.com.cn/Jwk_ytgcxb/CN/10.11779/CJGE202110008 或 http://manu31.magtech.com.cn/Jwk_ytgcxb/CN/Y2021/V43/I10/1825

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