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Analytical study on pretensioned bolt-cable combined support of large cross-section tunnel

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Abstract

To study the mechanical responses of large cross-section tunnel reinforced by pretensioned rock bolts and anchor cables, an analytical model is proposed. Considering the interaction between rock mass and bolt-cable support, the strain softening characteristic of rock mass, the elastic-plastic characteristic of bolt-cable support, and the delay effect of installation are considered in the model. To solve the different mechanical cases of tunneling reinforced by bolt-cable support, an analytical approach has been put forward to get the solutions of stress and displacement associated with tunneling. The proposed analytical model is verified by numerical simulation. Moreover, parametric analysis is performed to study the effects of pretension force, cross-section area, length, and supporting density of bolt-cable support on tunnel reinforcement, which can provide references for determining these parameters in tunnel design. Based on the analytical model, a new Ground Response Curve (GRC) considering the reinforcement of bolt-cable support is obtained, which shows the pretension forces and the timely installation are important in bolt-cable support. In addition, the proposed model is applied to the analysis of the Great Wall Station Tunnel, a high-speed railway tunnel with a super large cross-section, which shows that the analytical model of bolt-cable support was a useful tool for preliminary design of large cross-section tunnel.

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References

  1. Li C C. Rockbolting: Principles and Applications. Oxford: Butterworth-Heinemann, 2017

    Google Scholar 

  2. Ovári K. History of the sprayed concrete lining method—Part II: Milestones up to the 1960s. Tunn Undergr Sp Tech, 2003, 1: 71–83

    Google Scholar 

  3. Hoek E, Brown E T. Underground Excavations in Rock. Boca Raton (FL): CRC Press, 1980

    Google Scholar 

  4. Windsor C R. Rock reinforcement systems. Int J Rock Mech Min Sci, 1997, 1: 919–951

    Article  Google Scholar 

  5. Beard M D, Lowe M J S. Non-destructive testing of rock bolts using guided ultrasonic waves. Int J Rock Mech Min Sci, 2003, 1: 527–536

    Article  Google Scholar 

  6. Kang H P, Wu Y, Gao F, et al. Fracture characteristics in rock bolts in underground coal mine roadways. Int J Rock Mech Min Sci, 2013, 1: 105–112

    Article  Google Scholar 

  7. Li C C. Field observations of rock bolts in high stress rock masses. Rock Mech Rock Eng, 2010, 1: 491–496

    Article  ADS  Google Scholar 

  8. Marenče M, Swoboda G. Numerical model for rock bolts with consideration of rock joint movements. Rock Mech Rock Engng, 1995, 1: 145–165

    Article  ADS  Google Scholar 

  9. Osgoui R R, Oreste P. Convergence-control approach for rock tunnels reinforced by grouted bolts, using the homogenization concept. Geotech Geol Eng, 2007, 1: 431–440

    Article  Google Scholar 

  10. Carranza-Torres C. Analytical and numerical study of the mechanics of rockbolt reinforcement around tunnels in rock masses. Rock Mech Rock Eng, 2009, 1: 175–228

    Article  ADS  Google Scholar 

  11. Tan C H. Difference solution of passive bolts reinforcement around a circular opening in elastoplastic rock mass. Int J Rock Mech Min Sci, 2016, 1: 28–38

    Article  Google Scholar 

  12. Yan Z X, Cai H C, Wang Q M, et al. Finite difference numerical simulation of guided wave propagation in the full grouted rock bolt. Sci China Tech Sci, 2011, 1: 1292–1299

    Article  Google Scholar 

  13. Wu X Z, Jiang Y J, Guan Z C, et al. Estimating the support effect of energy-absorbing rock bolts based on the mechanical work transfer ability. Int J Rock Mech Min Sci, 2018, 1: 168–178

    Article  CAS  Google Scholar 

  14. Wu X Z, Jiang Y J, Wang G, et al. Performance of a new yielding rock bolt under pull and shear loading conditions. Rock Mech Rock Eng, 2019, 1: 3401–3412

    Article  ADS  Google Scholar 

  15. Pelizza S, Oreste P P, Peila D, et al. Stability analysis of a large cavern in Italy for quarrying exploitation of a pink marble. Tunn Undergr Sp Tech, 2000, 1: 421–435

    Article  Google Scholar 

  16. Miura K. Design and construction of mountain tunnels in Japan. Tunn Undergr Sp Tech, 2003, 1: 115–126

    Article  Google Scholar 

  17. Ranjbarnia M, Fahimifar A, Oreste P. A simplified model to study the behavior of pre-tensioned fully grouted bolts around tunnels and to analyze the more important influencing parameters. J Min Sci, 2014, 1: 533–548

    Article  Google Scholar 

  18. Labiouse V. Ground response curves for rock excavations supported by ungrouted tensioned rockbolts. Rock Mech Rock Engng, 1996, 1: 19–38

    Article  ADS  Google Scholar 

  19. Zhang D L, Wang M S, Gao J, et al. Construction technique of large-span tunnel under condition of complicated surrounding rock (in Chinese). Chin J Rock Mech Eng, 2003, 1: 290–296

    Google Scholar 

  20. Fahimifar A, Ranjbarnia M. Analytical approach for the design of active grouted rockbolts in tunnel stability based on convergence-confinement method. Tunn Undergr Sp Tech, 2009, 1: 363–375

    Article  Google Scholar 

  21. Zhang X P, Wong L N Y, Wang S J, et al. Engineering properties of quartz mica schist. Eng Geol, 2011, 1: 135–149

    Article  CAS  Google Scholar 

  22. Zhang X P, Wu S, Afolagboye L O, et al. Using the point load test to analyze the strength anisotropy of quartz mica schist along an exploration adit. Rock Mech Rock Eng, 2016, 1: 1967–1975

    Article  ADS  Google Scholar 

  23. Gao Y, Wong L N Y, Gao F. Finite deformation analysis on sandstone subjected to thermo-hydro-mechanical (T-H-M) coupling. Rock Mech Rock Eng, 2015, 1: 159–177

    Article  ADS  Google Scholar 

  24. Cheng X S, Zheng G, Soga K, et al. Post-failure behavior of tunnel heading collapse by MPM simulation. Sci China Tech Sci, 2015, 1: 2139–2152

    Article  Google Scholar 

  25. Sun X M, Xu H C, He M C, et al. Thermography analyses of rock fracture due to excavation and overloading for tunnel in 30° inclined strata. Sci China Tech Sci, 2017, 1: 911–923

    Article  Google Scholar 

  26. Jiang Q, Feng X T, Cui J, et al. Failure mechanism of unbonded prestressed thru-anchor cables: In situ investigation in large underground caverns. Rock Mech Rock Eng, 2014, 1: 873–878

    Google Scholar 

  27. Kang H P. Support technologies for deep and complex roadways in underground coal mines: A review. Int J Coal Sci Technol, 2014, 1: 261–277

    Article  Google Scholar 

  28. Qing W, Gao Y, Zhu Y, et al. Construction methods for ultra large-span four-track deep tunnel on Wumengshan No.2 exit section. Tunn Constr, 2018, 1: 91–102

    Google Scholar 

  29. Shan R L, Wei Z T, Kong X S, et al. Coupled supporting of rock bolt and anchor cable in large cross-section roadway. Appl Mech Mater, 2012, 256-1: 1417–1421

    Article  Google Scholar 

  30. Wang W C, Wei W B, Wang L. Numerical simulation study on combined supporting scheme of bolts and anchor cable. Appl Mech Mater, 2014, 638-1: 898–903

    Google Scholar 

  31. Meng Q B, Han L J, Sun J W, et al. Experimental study on the bolt-cable combined supporting technology for the extraction roadways in weakly cemented strata. Int J Min Sci Tech, 2015, 1: 113–119

    Article  Google Scholar 

  32. Kang H P, Lin J, Fan M J. Investigation on support pattern of a coal mine roadway within soft rocks—A case study. Int J Coal Geol, 2015, 1: 31–40

    Article  Google Scholar 

  33. Gu X, Xia Y Y, Chen A M. Variation characteristics of anchor cable prestress during underground opening excavation and overloading (in Chinese). Chin J Rock Mech Eng, 2007, 1: 4238–4244

    Google Scholar 

  34. Carranza-Torres C, Rysdahl B, Kasim M. On the elastic analysis of a circular lined tunnel considering the delayed installation of the support. Int J Rock Mech Min Sci, 2013, 1: 57–85

    Article  Google Scholar 

  35. Cai Y, Esaki T, Jiang Y J. An analytical model to predict axial load in grouted rock bolt for soft rock tunnelling. Tunn Undergr Sp Tech, 2004, 1: 607–618

    Article  Google Scholar 

  36. Möller S C. Tunnel induced settlements and structural forces in linings. Ph. D. Thesis. Stuttgart, Germany: Universität Stuttgart, 2006

    Google Scholar 

  37. Bobet A, Einstein H H. Tunnel reinforcement with rockbolts. Tunn Undergr Sp Tech, 2011, 1: 100–123

    Article  Google Scholar 

  38. Kim S H, Pelizza S, Kim J S. A study of strength parameters in the reinforced ground by rock bolts. Tunn Undergr Sp Tech, 2006, 1: 378–379

    Article  Google Scholar 

  39. Zhang G M, Li Y P, Yang C H, et al. Discussion on relationship between post-peak curves and shear strength parameters of rocks subjected to direct shear tests (in Chinese). Chin J Rock Mech Eng, 2012, 1: 2981–2988

    Google Scholar 

  40. Sadd M H. Elasticity: Theory, Applications, and Numerics. London: Academic Press, 2009

    Google Scholar 

  41. Fang Q, Zhang D L, Zhou P, et al. Ground reaction curves for deep circular tunnels considering the effect of ground reinforcement. Int J Rock Mech Min Sci, 2013, 1: 401–412

    Article  Google Scholar 

  42. Carranza-Torres C, Fairhurst C. Application of the Convergence-Confinement method of tunnel design to rock masses that satisfy the Hoek-Brown failure criterion. Tunn Undergr Sp Tech, 2000, 1: 187–213

    Article  Google Scholar 

  43. Li P F, Wang F, Fang Q. Undrained analysis of ground reaction curves for deep tunnels in saturated ground considering the effect of ground reinforcement. Tunn Undergr Sp Tech, 2018, 1: 579–590

    Article  Google Scholar 

  44. Stille H, Holmberg M, Nord G. Support of weak rock with grouted bolts and shotcrete. Int J Rock Mech Min Sci Geomech Abstracts, 1989, 1: 99–113

    Article  Google Scholar 

  45. Ranjbarnia M, Fahimifar A, Oreste P. Practical method for the design of pretensioned fully grouted rockbolts in tunnels. Int J Geomech, 2015, 16: 04015012

    Article  Google Scholar 

  46. Zhang Z G, Huang M S, Xi X G, et al. Complex variable solutions for soil and liner deformation due to tunneling in clays. Int J Geomech, 2018, 18: 04018074

    Article  Google Scholar 

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Correspondence to Qian Fang.

Additional information

This work was supported by the National Key Research and Development Program of China (Grant No. 2017YFC0805401), the National Natural Science Foundation of China (Grant No. 51738002), the China Railway Corporation Research and Development Program of Science and Technology (Grant No. 2014004-C), and the Fundamental Research Funds for the Central Universities (Grant No. C17JB00030).

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The supporting information is available online at tech.scichina.com and link.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.

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Luo, J., Zhang, D., Fang, Q. et al. Analytical study on pretensioned bolt-cable combined support of large cross-section tunnel. Sci. China Technol. Sci. 63, 1808–1823 (2020). https://doi.org/10.1007/s11431-019-1531-9

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  • DOI: https://doi.org/10.1007/s11431-019-1531-9

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