Calculation of stability reliability for the surrounding rock excavation and rockbolt-shotcrete support in tunnel structure#br#
LI Shuai1，DU Junwang1，SU Yonghua2，DING Xinxiang1
(1. Henan Provincial Communications Planning and Design Institute Co.，Ltd.，Zhengzhou，Henan 451450，China；
2. College of Civil Engineering，Hunan University，Changsha，Hunan 410082，China)
Abstract：A calculation formula for the radial displacement of surrounding rock was derived according to the convergence analysis of linear elasticity of surrounding rock，and a solving method of the support resistance of shotcrete lining and rockbolts was determined based on the thin-wall cylinder theory and the point anchored reinforcement theory. Performance functions involving excavation of the surrounding rock as well as rockbolt- shotcrete support were deduced. Aiming at the problem that the common second order reliability method(SORM) could not be applied directly due to that the performance functions were highly nonlinear and implicit，a calculation formula of gradient vectors，instead of the analytical algorithm used in common SORM，was deduced based on the difference principle，and a direct calculation method for stability reliability of tunneling structure，which is free from the constraint of the performance function form，was proposed. A tunnel project was analyzed by the developed method，and comparison between the calculation results by the method and Monte-Carlo method was performed. It is shown that the developed method is widely applicable and accurate. Meanwhile，a suitable step length coefficient v = 0.01 which has universally applicable meaning in the independent standard normal space was suggested.
李 帅1，杜俊旺1，苏永华2，丁心香1. 隧道围岩开挖及锚喷衬砌稳定可靠度计算[J]. 岩石力学与工程学报, 2019, 38(8): 1627-1634.
LI Shuai1，DU Junwang1，SU Yonghua2，DING Xinxiang1. Calculation of stability reliability for the surrounding rock excavation and rockbolt-shotcrete support in tunnel structure#br#. , 2019, 38(8): 1627-1634.
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2019, Vol. 38 
