Geomechanics and Engineering

  • 제26권6호
  • /
  • Pages.541-550
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  • 2021
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Analytical assessment of coupled influences of surrounding rock reinforcement and deformation release on tunnel response

  • Qin, Su (Xi'an University of Architecture and Technology) ;
  • Wu, Kui (Xi'an University of Architecture and Technology) ;
  • Shao, Zhushan (Xi'an University of Architecture and Technology)
  • 투고 : 2021.05.10
  • 심사 : 2021.09.14
  • 발행 : 2021.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

Attempt has been proved to be effective that surrounding rock reinforcement is emphasized simultaneously considering displacement release in weak rock tunnels. In this study, the calculation formulas for mechanical parameters of bolt-reinforced rocks are provided using the homogenization method and the supporting characteristic curve is divided into three stages with proposing the corresponding stiffness equations. The mechanical model for bolted-reinforced rock-yielding supports interaction is then established and coupled solutions for displacements and stresses around tunnels considering bolt reinforcement and yielding effects are provided. Furthermore, parametric investigations on the influences of rockbolts and yielding supports are carried out. Results show that (1) rock displacement gradually decreases as the rockbolt length increases. However, when rockbolt length becomes large enough, the further improvement of rock displacement will not be obvious by still increasing their length. (2) Both rock displacement and plastic zone of tunnel decrease with the increase of rockbolt radius. There exists the highest utilization of rockbolts corresponding to a certain rockbolt radius. (3) Also, the rock displacement and plastic zone of tunnel decrease as installation density of rockbolts including circumferential space and longitudinal space increases. Under the condition prescribed, this decreasing trend becomes sharper and the improvement is more evident. (4) Larger yielding displacement or stiffness parameter leads to smaller support pressure, but greater plastic radius of tunnel. The optimal yielding displacement and stiffness parameters need to be determined through a comprehensive investigation combining rock properties, support characteristics and tunnel design requirements.

키워드

과제정보

The research described in this paper was financially supported by "National Natural Science Foundation of China" (No. 11872287), and "Found of Shaanxi Key Research and Development Program" (No. 2019ZDLGY01-10).

참고문헌

  1. Barla, G., Bonini, M. and Semeraro, M. (2011), "Analysis of the behaviour of a yield-control support system in squeezing rock", Tunn. Undergr. Sp. Tech., 26, 146-154. https://doi.org/10.1016/j.tust.2010.08.001.
  2. Bernaud, D., Buhan, P.D. and Maghous, S. (1995), "Numerical simulation of the convergence of a bolt-supported tunnel through a homogenization method", Int. J. Numer. Anal. Meth. Geomech., 19, 267-288. https://doi.org/10.1002/nag.1610190404.
  3. Bobet, A. (2009), "Elastic solution for deep tunnels. Application to excavation damage zone and rockbolt support", Rock Mech. Rock Eng., 42(2), 147-174. https://doi.org/10.1007/s00603-007-0140-0.
  4. Brichall, T.J. and Osman, A.S. (2012), "Response of a tunnel deeply embedded in a viscoelastic medium", Int. J. Numer. Anal. Met., 36, 1717-1704. https://doi.org/10.1002/nag.1069.
  5. Brodny, J. (2010), "Determining the working characteristic of a friction joint in a yielding support", Arch. Min. Sci., 55(4), 733-746.
  6. Cai, Y., Jiang, Y., Djamaluddin, I., Iura, T and Esaki, T. (2015), "An analytical model considering interaction behavior of grouted rock bolts for convergence-confinement method in tunneling design", Int. J. Rock Mech. Min. Sci., 76, 112-126. https://doi.org/10.1016/j.ijrmms.2015.03.006.
  7. Cantieni, L. and Anagnostou, G. (2009), "The interaction between yielding supports and squeezing ground", Tunn. Undergr. Sp. Tech., 24, 309-322. https://doi.org/10.1016/j.tust.2008.10.001.
  8. Chu, Z., Wu, Z., Liu, Q., Liu, B. and Sun, J. (2021a), "Analytical solution for lined circular tunnels in deep viscoelastic burgers rock considering the longitudinal discontinuous excavation and sequential installation of liners", J. Eng. Mech., 147(4), 04021009. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001912.
  9. Chu, Z., Wu, Z., Liu, Q., Weng, L., Wang, Z. and Zhou, Y. (2021b), "Evaluating the microstructure evolution behaviors of saturated sandstone using NMR testing under uniaxial shortterm and creep compression", Rock Mech. Rock Eng., 54, 1-23. https://doi.org/10.1007/s00603-021-02538-4.
  10. Cui, L., Zheng, J. Sheng, Q. and Pan, Y. (2019), "A simplified procedure for the interaction between fully-grouted bolts and rock mass for circular tunnels", Comput. Geotech., 106, 177-192. https://doi.org/10.1016/j.compgeo.2018.10.008.
  11. Eftekhari, A. and Aalianvari, A. (2019). "An overview of several techniques employed to overcome squeezing in mechanized tunnels; A case study", Geomech. Eng., 18(2), 215-224. https://doi.org/10.12989/gae.2019.18.2.215.
  12. Exadaktylos, G.E. and Stavropoulou. M.C. (2002) "A closed-form elastic solution for stresses and displacements around tunnels", Int. J. Rock Mech. Min. Sci., 39(7), 905-916. https://doi.org/10.1016/S1365-1609(02)00079-5.
  13. Fahimifar, A. and Ranjbarnia, M. (2009) "Analytical approach for the design of active grouted rockbolts in tunnel stability based on convergence-confinement method", Tunn. Undergr. Sp. Tech., 24(4), 363-375. https://doi.org/10.1016/j.tust.2008.10.005.
  14. Fan, S., Song, Z., Zhang, Y. and Liu, N. (2020), "Case study of the effect of rainfall infiltration on a tunnel underlying the roadbed slope with weak inter-layer", KSCE J. Civ. Eng., 24(5), 1607-1619. https://doi.org/10.1007/s12205-020-1165-0.
  15. Fan, S., Song, Z., Xu, T., Wang, K. and Zhang, Y. (2021), "Tunnel deformation and stress response under the bilateral foundation pit construction - a case study", Arch. Civ. Mech. Eng., 21(3), 109. https://doi.org/10.1007/s43452-021-00259-7.
  16. Hoek, E. and Guevara, R. (2009), "Overcoming squeezing in the Yacambu-Quibor Tunnel, Venezuela", Rock Mech. Rock Eng., 42(2), 389-418. https://doi.org/10.1007/s00603-009-0175-5.
  17. Indraratna, B. and Kaiser, P.K. (1990), "Analytical model for the design of grouted rock bolts", Int. J. Numer. Anal. Meth. Geomech., 14(4), 227-251. https://doi.org/10.1002/nag.1610140402.
  18. Kargar, A.R., Rahmannejad, R. and Hajabasi, M.A. (2014), "A semi-analytical elastic solution for stress field of lined non-circular tunnels at great depth using complex variable method", Int. J. Solids Struct., 51(6), 1475-1482. https://doi.org/10.1016/j.ijsolstr.2013.12.038.
  19. Kimura, F., Okabayashi, N and Kawamoto, T. (1987), "Tunnelling through squeezing rock in two large fault zones of the Enasan Tunnel II", Rock Mech. Rock Eng., 20(3), 151-166. https://doi.org/10.1007/BF01020366
  20. Moritz, B. (2011). "Yielding elements-requirements, overview and comparison/Stauchelemente", Geomech. Tunn., 4(3), 221-236. https://doi.org/10.1002/geot.201100014.
  21. Osgoui, R.R., and Oreste, P. (2007), "Convergence-control approach for rock tunnels reinforced by grouted bolts, using the homogenization concept", Geotech. Geol. Eng., 25(4), 431-440. https://doi.org/10.1007/s10706-007-9120-0.
  22. Oge, I.F. (2021), "Revisiting the assessment of squeezing condition and energy absorption of flexible supports: A mine development case", Tunn. Undergr. Sp. Tech., 108, 103712. https://doi.org/10.1016/j.tust.2020.103712.
  23. Radoncic, N., Schubert, W. and Moritz, B. (2009), "Ductile support design", Geomech. Tunn., 5, 561-577. https://doi.org/10.1002/geot.200900054.
  24. Ranjbarnia, M., Rahimpour, N. and Oreste, P. (2020), "A new analytical-numerical solution to analyze a circular tunnel using 3D Hoek-Brown failure criterion", Geomech. Eng., 22(1), 11-23. https://doi.org/10.12989/gae.2020.22.1.011.
  25. Rodriguez, R. and Diaz-Aguado, M.B. (2013) "Deduction and use of an analytical expression for the characteristic curve of a support based on yielding steel ribs", Tunn. Undergr. Sp. Tech., 33, 159-170. https://doi.org/10.1016/j.tust.2012.07.006.
  26. Sun, Y., Li, G., Zhang, J. (2020) "Investigation on jet grouting support strategy for controlling time-dependent deformation in the roadway", Energy Sci. Eng., 8(6), 2151-2158. https://doi.org/10.1002/ese3.654.
  27. Sun, Y., Li, G., Zhang, N., Chang, Q., Xu, J., Zhang, J. (2021) "Development of ensemble learning models to evaluate the strength of coal-grout materials", Int. J. Min. Sci. Tech., 31(2), 153-162. https://doi.org/10.1016/j.ijmst.2020.09.002.
  28. Tan, X., Chen, W. Liu, H. Chan, A.H.C. Tian, H., Meng, X., Wang, F and Deng, X. (2017) "A combined supporting system based on foamed concrete and U-shaped steel for underground coal mine roadways undergoing large deformations", Tunn. Undergr. Sp. Tech., 68, 196-210. https://doi.org/10.1016/j.tust.2017.05.023.
  29. Wong, H., Subrin, D and Dias, D. (2006) "Convergence-confinement analysis of a bolt supported tunnel using the homogenization method", Can. Geotech. J., 43(5), 462-483. https://doi.org/10.1139/t06-016.
  30. Wu, K. and Shao, Z. (2019a) "Study on the effect of flexible layer on support structures of tunnel excavated in viscoelastic rocks", J. Eng. Mech., 14 (10), 04019077. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001657.
  31. Wu, K., Shao, Z. (2019b), "Visco-elastic analysis on the effect of flexible layer on mechanical behavior of tunnels", Int. J. Appl. Mech., 11(3), 1950027. https://doi.org/10.1142/S1758825119500273.
  32. Wu, K., Shao, Z. and Qin, S. (2020a), "An analytical design method for ductile support structures in squeezing tunnels", Arch. Civ. Mech. Eng., 20, 91. https://doi.org/10.1007/s43452-020-00096-0.
  33. Wu, K., Shao, Z., Qin, S., Zhao, N. and Hu, H. (2020b), "Analytical-based assessment of effect of highly deformable elements on tunnel lining within viscoelastic rocks", Int. J. Appl. Mech., 12(3), 2050030. https://doi.org/10.1142/S1758825120500301.
  34. Wu, K., Shao, Z., Qin, S., Wei, W. and Chu, Z. (2021a), "A critical review on the performance of yielding supports in squeezing tunnels", Tunn. Undergr. Sp. Tech., 115, 103815. https://doi.org/10.1016/j.tust.2021.103815.
  35. Wu, K., Shao, Z., Qin, S., Zhao, N. and Chu, Z. (2021b), "An improved non-linear creep model for rock applied to tunnel displacement prediction", Int. J. Appl. Mech., 13, 9. https://doi.org/10.1142/S1758825121500958.
  36. Wu, K., Shao, Z., Sharifzadeh, M., Hong, S. and Qin, S. (2022a), "Analytical computation of support characteristic curve for circumferential yielding lining in tunnel design", J. Rock Mech. Geotech. Eng., 14, 1-9. https://doi.org/10.1016/j.jrmge.2021.12.003
  37. Wu, K., Shao, Z., Sharifzadeh, M., Chu, Z., Qin, S. (2022b) "Analytical approach to estimating the influence of shotcrete hardening property on tunnel response", J. Eng. Mech., In Press.
  38. Yan, Q., Li, S., Xie, C., Wang, M. and Ding, K. (2017) "Analytical solution for ground characteristic curve of composite rock mass reinforced by bolts in circular tunnels", Chin. J. Rock Mech. Eng., 36(12), 3021-3027.
  39. Zhao, N., Shao, Z., Wu, K., Chu, Z. and Qin, S. (2021), "Time-dependent solutions for lined circular tunnels considering rockbolts reinforcement and face advancement effects", Int. J. Geomech., 21(10), 04021179. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002130.