›› 2014, Vol. 35 ›› Issue (S1): 437-442.

• Numerical Analysis • Previous Articles     Next Articles

Equivalent strength parameters and reliability analysis of circular tunnel with rock bolt supporting

MENG Qiang1,ZHAO Hong-bo1,RU Zhong-liang1   

  1. School of Civil Engineering, Henan Polytechnic University, Jiaozuo, Henan 454003, China
  • Received:2013-06-30 Online:2014-06-10 Published:2014-06-20

Abstract: A homogenization method to analyze circular tunnel with rock bolts is presented, which can simplify this kind of complex mechanical coupling problem through considering the composite material of rock mass and rock bolts as a new homogeneous, isotropic, parameters strengthened equivalent material. Rock bolt density parameter is defined to reflect the influence of high density rock bolt support pattern; Mohr-Coulomb criterion is applied to the new equivalent material; the increasement of key coefficients for Mohr-Coulomb criterion is considered to related to rock bolt density parameter; thus equivalent Young’s modulus, equivalent cohesion and equivalent friction angle for circular tunnel with rock bolts can be derived. Displacements of tunnel with and without rock bolts are compared through the existed displacement solution. Based on this solution, the reliability index and failure probability of tunnel are calculated by considering allowable ultimate displacement as instability criterion. The results show that the tunnel with rock bolts is much reliable. It is shown that the proposed method is simple and feasible and the rock bolt can improve the stability and reliability of tunnel.

Key words: circular tunnel, homogenization method, rock bolt supporting, reliability analysis

CLC Number: 

  • U 452
[1] XIA Cai-chu, LIU Yu-peng, WU Fu-bao, XU Chen, DENG Yun-gang, . Viscoelasto-viscoplastic solutions for circular tunnel based on Nishihara model [J]. Rock and Soil Mechanics, 2019, 40(5): 1638-1648.
[2] ZHANG Wen-sheng, LUO Qiang, JIANG Liang-wei, LI Ang, . Reliability analysis of soil slope considering moment estimation bias using small sample geotechnical parameters [J]. Rock and Soil Mechanics, 2019, 40(1): 315-324.
[3] YANG Gong-biao, ZHANG Cheng-ping, MIN Bo, CAI Yi, . Elastic solution of soil displacement induced by shallow circular tunnel with a cavern in a stratum using function of complex variable method [J]. Rock and Soil Mechanics, 2018, 39(S2): 25-36.
[4] GU Shuan-cheng, ZHOU Pan, HUANG Rong-bin. Stability analysis of tunnel supported by bolt-surrounding rock bearing structure [J]. , 2018, 39(S1): 122-130.
[5] FAN Wen-liang, WANG Yu-le, WEI Qi-ke, YANG Peng-chao, LI Zheng-liang, . Improved fourth-moment method for reliability analysis of geotechnical engineering [J]. , 2018, 39(4): 1463-1468.
[6] LI Shu-cai, HE Peng, LI Li-ping, ZHANG Qian-qing, SHI Shao-shuai, XU Fei, LIU Hong-liang. Reliability analysis method of sub-classification of tunnel rock mass and its engineering application [J]. , 2018, 39(3): 967-376.
[7] ZHANG Bing-qiang, WANG Qi-yun, LU Xiao-ying, . Analytical solution for non-Darcian seepage field of a shallow circular tunnel in soft soil [J]. Rock and Soil Mechanics, 2018, 39(12): 4377-4384.
[8] CHEN Zu-yu, LI Kang-ping, LI Xu, ZHAN Cheng-ming,. A preliminary study of allowable factor of safety in gravity retaining wall stability analysis [J]. , 2018, 39(1): 1-10.
[9] CHEN Zu-yu , ZHAN Cheng-ming , YAO Hai-lin , CHEN Li-hong , LI Xu,. Safety criteria and standards for stability analysis of gravity retaining walls [J]. , 2016, 37(8): 2129-2137.
[10] WU Guo-jun , CHEN Wei-zhong , TAN Xian-jun , YANG Dian-sen,. Program development of finite element reliability method and its application based on Latin hypercube sampling [J]. , 2015, 36(2): 550-554.
[11] XU Yuan, LI Liang, ZOU Jin-feng, YUAN Zhen. Generalized Hoek-Brown solution of circular tunnel considering effects of axial stress and seepage force [J]. , 2015, 36(10): 2837-2846.
[12] Lü Ai-zhong,QIN Yuan,CHEN Hong-yu. Stress analysis of deep horseshoe tunnel considering support delay [J]. , 2014, 35(S1): 42-48.
[13] WANG Shui-lin,ZHENG Hong,LIU Quan-sheng,GUO Ming-wei,GE Xiu-run. Principle of analysis of strain-softening rock mass and its application [J]. , 2014, 35(3): 609-621.
[14] FU Fang-yu , ZHENG Xiao-yao , Lü Qing , ZHU Yi-jun,. Second order reliability analysis of slope stability using response surface method [J]. , 2014, 35(12): 3460-3466.
[15] SU Guo-shao, ZHAO Wei, PENG Li-feng, YAN Liu-bin. Gaussian process-based dynamic response surface method for estimating slope failure probability [J]. , 2014, 35(12): 3592-3601.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] TAO Gan-qiang, YANG Shi-jiao, REN Feng-yu. Experimental research on granular flow characters of caved ore and rock[J]. , 2009, 30(10): 2950 -2954 .
[2] ZHANG Wen-jie,CHEN Yum-min. Pumping tests and leachate drawdown design in a municipal solid waste landfill[J]. , 2010, 31(1): 211 -215 .
[3] GONG Wei-li, AN Li-qian, ZHAO Hai-yan, MAO Ling-tao. Multiple scale characterization of CT image for coal rock fractures based on image description[J]. , 2010, 31(2): 371 -376 .
[4] ZHAN Yong-xiang, JIANG Guan-lu. Study of dynamic characteristics of soil subgrade bed for ballastless track[J]. , 2010, 31(2): 392 -396 .
[5] WAN Zhi, DONG Hui, LIU Bao-chen. On choice of hyper-parameters of support vector machines for time series regression and prediction with orthogonal design[J]. , 2010, 31(2): 503 -508 .
[6] GAO Guang-yun, ZHAO Yuan-yi, GAO Meng, YANG Cheng-bin. Improved calculation for lateral dynamic impedance of pile groups in layered soil[J]. , 2010, 31(2): 509 -515 .
[7] LEI Ming-feng, PENG Li-min, SHI Cheng-hua, AN Yong-lin. Research on construction spatial effects in large-long-deep foundation pit[J]. , 2010, 31(5): 1579 -1584 .
[8] CHAI Bo, YIN Kun-long, XIAO Yong-jun. Characteristics of weak-soft zones of Three Gorges Reservoir shoreline slope in new Badong county[J]. , 2010, 31(8): 2501 -2506 .
[9] LIU Han-long,TAO Xue-jun,ZHANG Jian-wei,CHEN Yu-min. Behavior of PCC pile composite foundation under lateral load[J]. , 2010, 31(9): 2716 -2722 .
[10] WANG Xue-wu,XU Shang-jie,DANG Fa-ning,CHENG Su-zhen. Analysis of stability of dam slope during rapid drawdown of reservoir water level[J]. , 2010, 31(9): 2760 -2764 .