Uncertainty is an important prosperity to rock tunnel. Reliability analysis is widely used to deal with the uncertainty. But it is difficult\nto be adopted in rock tunnel using the traditional reliability method because the limit state function is an implicit function. High\ndimension model representation (HDMR) can approximate the high dimensional, nonlinear, and implicit function using the low\ndimensional function. In this study, the HDMR method was adapted to approximate the limit state function through combining\nwith response surface method (RSM). A new reliability analysis approach of HDMR-based response surface method, combined\nwith the first-order reliability method (FORM), is developed to calculate the reliability index of tunnel, and implementation of the\nmethod is explained briefly. A circular tunnel with analytical solution and horseshoe tunnel with numerical solution are used to\ndemonstrate the proposed method. The obtained reliability index is in excellent agreement with Low and Tangâ??s (2007) method\nand traditional RSM. It shows that HDMR-based response surface can approximate well the limit state function, and the proposed\nmethod is an efficient and effective approach for reliability analysis in tunnel engineering. It is very useful for reliability analysis of\npractical large-scale rock engineering.
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