Geomechanics and Engineering

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Mechanical analysis of tunnels supported by yieldable steel ribs in rheological rocks

  • Wu, Kui (School of Civil Engineering, Xi'an University of Architecture & Technology) ;
  • Shao, Zhushan (School of Civil Engineering, Xi'an University of Architecture & Technology) ;
  • Qin, Su (School of Civil Engineering, Xi'an University of Architecture & Technology) ;
  • Zhao, Nannan (School of Civil Engineering, Xi'an University of Architecture & Technology)
  • Received : 2018.12.26
  • Accepted : 2019.09.06
  • Published : 2019.09.20
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Abstract

Yieldable steel ribs have been widely applied in tunnels excavated in rheological rocks. For further understanding the influence of yieldable steel ribs on supporting effect, mechanical behavior of tunnels supported by them in rheological rocks is investigated in this paper. Taking into account the deformation characteristic of yieldable steel ribs, their deformation is divided into three stages. In order to modify the stiffness of yieldable steel ribs in different deformation stages, two stiffness correction factors are introduced in the latter two stages. Viscoelastic analytical solutions for the displacement and pressure in the rock-support interface in each deformation stage are obtained. The reliability of the theoretical analysis is verified by use of numerical simulation. It could be concluded that yieldable steel ribs are able to reduce pressure acting on them without becoming damaged through accommodating the rock deformation. The influence of stiffness correction factor in yielding deformation stage on pressure and displacement could be neglected with it remaining at a low level. Furthermore, there is a linearly descending relationship of pressure with yielding displacement in linear viscoelastic rocks.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. Cantieni, L. and Anagnostou, G. (2009), "The interaction between yielding supports and squeezing ground", Tunn. Undergr. Sp. Technol., 24(3), 309-322. https://doi.org/10.1016/j.tust.2008.10.001.
  2. Ding, L.J. and Liu, Y.H. (2018), "Study on deformation law of surrounding rock of super long and deep buried sandstone tunnel", Geomech. Eng., 16(1), 97-104. https://doi.org/10.12989/gae.2018.16.1.097.
  3. Fan, L.F., Wu, Z.J., Wan, Z. and Gao, J.W. (2017), "Experimental investigation of thermal effects on dynamic behavior of granite", Appl. Therm. Eng., 125, 94-103. https://doi.org/10.1016/j.applthermaleng.2017.07.007.
  4. Goodman, R.E. (1989), Introduction to Rock Mechanics (2th Edition), Willey, New York, U.S.A.
  5. Hu, B., Yang, S.Q. and Xu, P. (2018), "A nonlinear rheological damage model of hard rock", J. Cent. South Univ., 25(7), 1665-1677. https://doi.org/10.1007/s11771-018-3858-9
  6. Huang, H.X., Li, J., Rong, X.L., Hao, Y.Q. and Dong, X. (2017), "A displacement solution for circular openings in an elasticbrittle-plastic rock", Geomech. Eng., 13(3), 489-504. https://doi.org/10.12989/gae.2017.13.3.489.
  7. Jiang, B.S., Feng, Q., Wang, T. and Liu, Z.Q. (2011), "Mechanical analysis of close type yieldable steel support", Rock Soil Mech., 32(6), 1620-1642. https://doi.org/10.3969/j.issn.1000-7598.2011.06.004
  8. Jiao, Y.Y., Song, L, Wang, X.Z. and Adoko, A.C. (2013), "Improvement of the U-shaped steel sets for supporting the roadways in loose thick coal seam", Int. J. Rock Mech. Min. Sci., 60, 19-25. https://doi.org/10.1016/j.ijrmms.2012.12.038.
  9. Kong, C., Gao, X.Q., Cao, L. and Liu, K. (2016), "Analysis of the failure of primary support of a deep-buried railway tunnel in silty clay", Eng. Fail. Anal., 66, 259-273. https://doi.org/10.1016/j.engfailanal.2016.04.008.
  10. Lai. J.X., Wang, X.L., Qiu, J.L., Chen, J.X., Hu, Z.N. and Wang, H. (2018), "Extreme deformation characteristics and countermeasures for a tunnel in difficult grounds in southern Shaanxi, China", Environ. Earth Sci., 77, 706. https://doi.org/10.1007/s12665-018-7888-2.
  11. Lee, Y.J. (2016), "Determination of support pressure under the pile tip using upper and lower bounds with a superimposed approach", Geomech. Eng., 11(4), 587-605. https://doi.org/10.12989/gae.2016.11.4.587.
  12. Li, X.F., Wang, C.B., Wang, H.L. and Diao, B. (2017), "Experimental study on bearing capacity behavior of U-steel enclosed contractuble support", J. Zhejiang Univ. Eng. Sci., 51(12), 2355-2364. https://doi.org/10.3785/j.issn.1008-973X.2017.12.007.
  13. Mezger, F., Ramoni, M. and Anagnostou, G. (2018) "Options for deformable segmental lining systems for tunnelling in squeezing rock", Tunn. Undergr. Sp. Technol., 76, 64-75. https://doi.org/10.1016/j.tust.2017.12.017.
  14. Qiao, R.J., Shao, Z.S., Liu, F.Y. and Wei, W. (2019), "Damage evolution and safety assessment of tunnel lining subjected to long duration fire", Tunn. Undergr. Sp. Technol., 83, 354-363. https://doi.org/10.1016/j.tust.2018.09.036.
  15. Qiao, R.J., Shao, Z.S., Wei, W. and Zhang, Y.Y. (2018), "Theoretical investigation into the thermo-mechanical behaviours of tunnel lining during RABT fire development", Arab. J. Sci. Eng., 44(5), 4807-4818. https://doi.org/10.1007/s13369-018-3555-x.
  16. Qiu, J.L., Liu, H.Q., Lai, J.X., Lai, H.P., Chen, J.X. and Wang, K. (2018), "Investigating the long-term settlement of a tunnel built over improved loessial foundation soil using jet grouting technique", J. Perform. Constr. Fac., 32(5), 04018066. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001155.
  17. Schubert, W. (1996), "Dealing with squeezing conditions in alpine tunnels", Rock Mech. Rock Eng., 29(3), 145-153. https://doi.org/10.1007/BF01032651.
  18. Sharifzadeh, M., Daraei, R. and Broojerdi, M.S. (2012), "Design of sequential excavation tunneling in weak rocks through findings obtained from displacements based back analysis", Tunn. Undergr. Sp. Technol., 28, 10-17. https://doi.org/10.1016/j.tust.2011.08.003.
  19. Sharifzadeh, M., Tarifard, A. and Moridi, M.A. (2013), "Timedependent behavior of tunnel lining in weak rock mass based on displacement back analysis method", Tunn. Undergr. Sp. Technol., 38, 348-356. https://doi.org/10.1016/j.tust.2013.07.014.
  20. Shin, J.H., Lee, I.M. and Shin, Y.J. (2011), "Elasto-plastic seepage-induced stresses due to tunneling", Int. J. Numer. Anal. Met., 35(13), 1432-1450. https://doi.org/10.1002/nag.964.
  21. Shin, J.H., Moon, H.G. and Chae, S.E. (2011), "Effect of blastinduced vibration on existing tunnels in soft rocks", Tunn. Undergr. Sp. Technol., 26(1), 51-61. https://doi.org/10.1016/j.tust.2010.05.004.
  22. Tian, H.M., Chen, W.Z., Tan, X.J., Yang, D.S., Wu, G.J. and Yu, J.X. (2018), "Numerical investigation of the influence of the yield stress of the yielding element on the behavior of the shotcrete liner for yielding support", Tunn. Undergr. Sp. Technol., 73, 179-186. https://doi.org/10.1016/j.tust.2017.12.019.
  23. Tian, H.M., Chen, W.Z., Yang, D.S., Wu, G.J. and Tan, X.J. (2016), "Numerical analysis on the interaction of shotcrete liner with rock for yielding supports", Tunn. Undergr. Sp. Technol., 54, 20-28. https://doi.org/10.1016/j.tust.2016.01.025.
  24. Wang, Q., Pan, R., Jiang, B., Li, S.C. He, M.C., Sun, H.B., Wang, L. and Qin, Q. (2017), "Study on failure mechanism of roadways with soft rock in deep coal mine and confined concrete support system", Eng. Fail. Anal., 81, 155-177. https://doi.org/10.1016/j.engfailanal.2017.08.003.
  25. Wang, T.T. and Huang, T.H. (2014), "Anisotropic deformation of a circular tunnel excavated in a rock mass containing sets of ubiquitous joints: Theory analysis and numerical modeling", Rock Mech. Rock Eng., 47(2), 643-657. https://doi.org/10.1007/s00603-013-0405-8.
  26. Wu, K. and Shao, Z.S. (2018), "Effects of pipe roof support and grouting pre-reinforcement on the track settlement", Adv. Civ. Eng. https://doi.org/10.1155/2018/6041305.
  27. Wu, K. and Shao, Z.S. (2019a), "Visco-elastic analysis on the effects of flexible layer on mechanical behavior of tunnels", Int. J. Appl. Mech., 11(3), 1950027. https://doi.org/10.1142/S1758825119500273.
  28. Wu, K. and Shao, Z.S. (2019b), "Study on the effect of flexible layer on support structures of tunnel excavated in viscoelastic rocks", J. Eng. Mech., 145(10), 04019077. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001657.
  29. Wu, K., Shao, Z.S., Qin S. and Li, B.X. (2019), "Determination of deformation mechanism and countermeasures in silty clay tunnel", J. Perform. Constr. Fac., https://doi.org/10.1061/(ASCE)CF.1943-5509.0001381.
  30. Yang, S.Q., Chen, M., Jing, H.W., Chen, K.F. and Meng, B. (2017), "A case study on large deformation failure mechanism of deep soft rock roadway in Xin'An coal mine, China", Eng. Geol., 217, 89-101. https://doi.org/10.1016/j.enggeo.2016.12.012.
  31. Yang, Y.Z., Shao, Z.S., Mi, J.F. and Xiong, X.F. (2018), "Effect of adjacent hole on the blast-induced stress concentration in rock blasting", Adv. Civ. Eng. https://doi.org/10.1155/2018/5172878.
  32. You, C.A. (2002), "Stability analysis of U-steel yieldable support", Chin. J. Rock Mech. Eng., 21(11), 1672-1675. https://doi.org/10.3321/j.issn:1000-6915.2002.11.019
  33. Zhao, W.S., Chen, W.Z. and Yang, D.S. (2018), "Interaction between strengthening and isolation layers for tunnels in rock subjected to SH waves", Tunn. Undergr. Sp. Technol., 79, 121-133. https://doi.org/10.1016/j.tust.2018.05.012.
  34. Zhou, J.F., Xia, Z.Q. and Dan, H.C. (2016), "Theoretical solutions for displacement and stress of a circular opening reinforced by grouted rock bolt", Geomech. Eng., 11(3), 439-455. https://doi.org/10.12989/gae.2016.11.3.439.

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  1. Analytical-Based Assessment of Effect of Highly Deformable Elements on Tunnel Lining Within Viscoelastic Rocks vol.12, pp.3, 2019, https://doi.org/10.1142/s1758825120500301