Abstract

Rock bolts, one of the main support structures of the tunnel, can improve the stress state and mechanical properties of the surrounding rocks. The rock bolts are simulated by bar or beam elements in present numerical calculations for most 2D tunnel models. However, the methods of simulating rock bolt in three-dimensional models are rarely studied. Moreover, there are too many rock bolts in the long-span tunnel, which are hardly applied in the 3D numerical model. Therefore, an equivalent anchoring method for bolted rock masses needs to be further investigated. First, the jointed material model is modified to simulate the anisotropic properties of surrounding rock masses. Then, based on the theoretical analysis of rock bolts in reinforcing mechanical properties of the surrounding rock masses, the equivalent anchoring method of the jointed rock mass tunnel is numerically studied. The equivalent anchoring method is applied to the stability analysis of a diversion tunnel in Western China. From the calculation results, it could be found that the reinforcement effect of rock bolts could be equivalently simulated by increasing the mechanical parameter value of surrounding rocks. For the jointed rock mass tunnel, the cohesion and internal friction angle of the surrounding rocks are improved as 1.7 times and 1.2 times of the initial value, which can simulate the reinforcement effect of rock bolts. Comparing with analytical results, the improved internal friction angle is nearly consistent with analytical result. The reinforcement effect of rock bolts is simulated obviously when the mechanical parameters of surrounding rocks are increased simultaneously. The engineering application shows that the equivalent anchoring method can reasonably simulate the effect of rock bolts, which can provide reference for stability analysis of three-dimensional tunnel simulations.

Highlights

  • Rock bolts are widely used in tunneling, mining, and other underground engineering projects for more than 100 years, which can improve the strength and stiffness of surrounding rock masses. e finite element method has been extensively employed to study the mechanism of bolting, and the rock bolts are mostly simulated by bar or beam elements for twodimensional models

  • For the long-span tunnel, the rock bolts are numerous and hardly installed in the 3D tunneling models. erefore, an equivalent simulation method for bolted rock masses that will simplify the difficulty of the numerical calculation needs to be further investigated

  • Based on the modified jointed material model, the reinforcement effect of rock bolts installed during the excavation process of the jointed rock mass tunnel is investigated. e equivalent simulation method of improving the parameters of the surrounding rocks for the bolted rock masses is studied through a series of numerical simulations

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Summary

Introduction

Rock bolts are widely used in tunneling, mining, and other underground engineering projects for more than 100 years, which can improve the strength and stiffness of surrounding rock masses. e finite element method has been extensively employed to study the mechanism of bolting, and the rock bolts are mostly simulated by bar or beam elements for twodimensional models. Erefore, an equivalent simulation method for bolted rock masses that will simplify the difficulty of the numerical calculation needs to be further investigated. Chen proposed an equivalent constitutive model for jointed rock masses reinforced by fully grouted bolts, and the model was implemented in a finite element program [8]. E anisotropic properties of the layered rocks were investigated by experiments, analytical solutions, and numerical simulations in the past [26,27,28,29,30,31,32,33,34]. Erefore, a reasonable constitutive relationship of the layered rock masses should be needed before investigating the equivalent anchoring method. Based on the modified jointed material model, the reinforcement effect of rock bolts installed during the excavation process of the jointed rock mass tunnel is investigated. En, the equivalent anchoring method is adopted for the stability analysis of a division tunnel in Western China

Modified Jointed Material Model
Primary Investigations on the Equivalent Anchoring Method
Engineering Application
Stability Analysis of Tunnel Excavation
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