Abstract
abstract: The Monte Carlo simulation (MCS) and First-Order Reliability Method (FORM) provide a reliability analysis in axisymmetric deep tunnels driven in elastoplastic rocks. The Convergence-Confinement method (CV-CF) and Mohr-Coulomb (M-C) criterion are used to model the mechanical interaction between the shotcrete lining and ground through deterministic parameters and random variables. Numerical models synchronize tunnel analytical models and reliability methods, whereas the limit state functions control the failure probability in both ground plastic zone and shotcrete lining. The results showed that a low dispersion of random variables affects the plastic zone's reliability analysis in unsupported tunnels. Moreover, the support pressure generates a significant reduction in the plastic zone's failure, whereas the increase of shotcrete thickness results in great reduction of the lining collapse probability.
Highlights
Several geotechnical and structural parameters are involved in deep tunnels and underground excavation analysis, which induce high or undefined structural risks
Li and Low [9] conducted a series of reliability analyses of an axisymmetric tunnel, considering normal and non-normal random variables of the rock mass and the Low and Tang
Lü and Low [10] and Song et al [11] studied the reliability of axisymmetric tunnels through the First Order Reliability Method (FORM) and Second-Order Reliability Method (SORM), synchronizing these methods with analytical solutions based on Mohr-Coulomb (M-C) and Hoek Brown criteria
Summary
Several geotechnical and structural parameters are involved in deep tunnels and underground excavation analysis, which induce high or undefined structural risks. The reliability analysis evaluates structural failure probabilities in tunnels by applying random and deterministic parameters in analytical solutions or numerical methods. Low and Tang [5] focused on identifying and evaluating the reliability and risk parameters through numerical procedures, synchronizing reliability codes developed in software like Microsoft Excel, and analytical methods for axisymmetric tunnels. Li and Low [9] conducted a series of reliability analyses of an axisymmetric tunnel, considering normal and non-normal random variables of the rock mass and the Low and Tang [5] FORM algorithm. Lü and Low [10] and Song et al [11] studied the reliability of axisymmetric tunnels through the FORM and Second-Order Reliability Method (SORM), synchronizing these methods with analytical solutions based on Mohr-Coulomb (M-C) and Hoek Brown criteria
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