Abstract
Traditional deterministic evaluation of geotechnical problems has long been considered insufficient since the uncertainties inherently associated with geotechnical materials cannot be considered explicitly. This is especially so for underground problems where not only the properties of rocks or soils but also the in situ stress conditions cannot be accurately estimated. This requires the development of reliability analysis for tunnelling problems. System reliability analysis of tunnelling problems is illustrated by using an iterative closed-form formulation for a circular tunnel reinforced by end-anchored rockbolts. Three performance functions, namely,the mobilized tensile force in the rockbolt, the maximum displacement and the plastic zone size of the tunnel, are considered. In this paper, the RT software is applied to an iterative closed-form solution for a circular tunnel reinforced by rockbolts, which was proposed by Bobet and Einstein (2011). The developed surrogate models were implemented into the first-order reliability method (form), second order reliability method and Monte Carlo Simulation (MCS) to evaluate the stability of tunnels reinforced by rockbolts.
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