The Deformation and Failure Analysis of Rock Mass Around Tunnel by Coupling Finite Difference Method and Discrete Element Method
- 35 Downloads
The deformation and failure mechanics of the rock mass around tunnel after excavation are very important for design and construction. Simulation is always difficult when using either the finite difference method (FDM) or discrete element method (DEM). Consequently, a two-dimensional (2D) coupling analysis method was introduced by employing the commercial codes FLAC for FDM and PFC for DEM simultaneously. The developed 2D coupled method was applied to analyze the mechanical response of Tongluoshan tunnel which is the longest interval railway tunnel in China. By comparison with theoretical method, the displacement by numerical simulation shows good agreements with analytical equation for cases with different ground stress ratios. The reasonable dimension for DEM model should be 4 times of tunnel radius to assure reliable results in terms of efficiency and accuracy of calculation. Generally, the maximum of vertical displacement will increase according to the increase in stress ratio. Fracture of rock mass initiates and visible collapse of tunnel happens when ground stress is over 4 MPa (54% of uniaxial compressive strength) and 6 MPa (81% of uniaxial compressive strength), respectively. Both fracture and collapse predominantly concentrate above tunnel crown.
KeywordsRock mass around tunnel Numerical simulation Multi-scale coupling Deformation and failure
This work is supported by the National Natural Science Fund of China (No. 51308574), the special project of social and people’s livelihood from Chongqing Science and Technology Commission (cstc2016shmszx30009), the China Scholarship Council (No. 201608505105), the project of team construction plan of Chongqing College (CXTDX201601024) and the National Key R&D Program of China (Grant No. 2016YFC0802201).
- 13.Funatsu T, Hoshino T, Sawae H (2008) Numerical analysis to better understand the mechanism of the effects of ground supports and reinforcements on the stability of tunnels using the distinct element method. Tunn Undergr Space Technol. https://doi.org/10.1016/j.tust.2007.10.003 CrossRefGoogle Scholar
- 14.Zhou J, Jin W (2010) Coupled approach based numerical simulation of a retaining wall under seismic excitation. Rock Soil Mech 31(12):3949–3957Google Scholar
- 17.ITASCA Consulting Group (2011) FLAC (fast Lagrangian analysis of continua) theory and background. Itasca Consulting Group Inc., MinnesotaGoogle Scholar
- 18.ITASCA Consulting Group (2008) PFC2D (particle flow code in 2 dimensions) theory and background. Itasca Consulting Group Inc., MinnesotaGoogle Scholar
- 21.Brady BHG, Brown ET (2006) Rock mechanics for underground mining, p 168. https://doi.org/10.1007/978-1-4020-2116-9