In this paper, the seismic stability of shield tunnel face under multiple correlated failure modes is studied by combining the upper bound theorem of limit analysis with the response surface method. The pseudo-static method is employed to research the influence of seismic forces on the assessment of active and passive failure of shield tunnel face. The critical collapse pressure and blowout pressure of tunnel face are solved by the upper bound method. Furthermore, the reliability model of shield tunnel face is established in terms of these two limit states, and the range of supporting pressure to ensure the stability of tunnel face is obtained by the response surface method. Comparison of the solutions of this paper with existing results verifies the present method. The research shows that, the safe range of supporting pressure of tunnel face based on the reliability model of multiple correlated failure modes is more reasonable and effective. The soil shear strength and seismic force exert an obvious effect on the stability of tunnel face. In addition, the dispersion of random variables reduces the stability of shield tunnel face. This work can provide some guidance for the anti-seismic design of tunnel face in earthquake-prone regions.

本文将极限分析的上限定理与响应面法相结合，研究了盾构隧道掌子面在多种相关破坏模式下的地震稳定性。采用拟静力法研究地震力对盾构掌子面主被动破坏评估的影响。采用上限法求解掌子面临界坍塌压力和井喷压力。进而根据这两种极限状态建立盾构掌子面可靠度模型，并通过响应面法得到保证掌子面稳定的支护压力范围。本文的解决方案与现有结果的比较验证了本方法。研究表明，基于多种相关失效模式的可靠性模型的掌子面支护压力安全范围更加合理有效。土体抗剪强度和地震力对掌子面稳定性有明显影响。此外，随机变量的分散降低了盾构掌子面的稳定性。该工作可为地震多发区隧道掌子面的抗震设计提供一定的指导。