Geomechanics and Engineering

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Upper bound solution of collapse pressure and permanent displacement of 3D tunnel faces using the pseudo-dynamic method and the kinematic approach

  • Zhang, Biao (School of Civil Engineering, Hunan University of Science and Technology) ;
  • Jiang, Jin (School of Resource and Environment and Safety Engineering, Hunan University of Science and Technology) ;
  • Zhang, Dao-bing (School of Resource and Environment and Safety Engineering, Hunan University of Science and Technology) ;
  • Liu, Ze (School of Civil Engineering, Hunan University of Science and Technology)
  • Received : 2020.10.07
  • Accepted : 2021.06.15
  • Published : 2021.06.25
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Abstract

This work presents seismic stability analysis of tunnel faces under three-dimensional (3D) conditions. To consider the temporal and spatial features of seismic force, the pseudo-dynamic approach was employed and incorporated into the 'hornlike' mechanism. According to the limit analysis method and the Hoek-Brown strength criterion, analytical solution of collapse pressure on tunnel faces was derived. The permanent displacement of tunnel face was then calculated by virtue of the Newmark method. The effects of the parameters of seismic force and Hoek-Brown strength criterion on collapse pressure and failure range of tunnel faces were analyzed. The relationship between the Hoek-Brown strength criterion parameters, the supporting force, and the yield acceleration was discussed. Moreover, the permanent displacements at the top, center, and bottom of tunnel faces under seismic effect were examined. This paper proposes a new idea for seismic stability analysis of tunnel faces.

Keywords

Acknowledgement

The preparation of this work received financial support from the National Natural Science Foundation of China (52004088, 51804113 and 52074116) and the Science Foundation of Hunan University of Science and Technology (E52076).

References

  1. Abate, G. and Massimino, M.R. (2017), "Parametric analysis of the seismic response of coupled tunnel-soil-aboveground building systems by numerical modeling", B. Earthq. Eng., 15(1), 443-467. https://doi.org/10.1007/s10518-016-9975-7.
  2. Basha, B.M. and Babu G.L.S. (2010), "Reliability assessment of internal stability of reinforced soil structures: A pseudodynamic approach", Soil Dyn. Earthq. Eng., 30(5), 336-353. https://doi.org/10.1016/j.soildyn.2009.12.007.
  3. Cattoni, E., Salciarini, D. and Tamagnini, C. (2019), "A generalized Newmark method for the assessment of permanent displacements of flexible retaining structures under seismic loading conditions", Soil Dyn. Earthq. Eng., 117, 221-233. https://doi.org/10.1016/j.soildyn.2018.11.023.
  4. Chanda, N., Ghosh, S. and Pal, M. (2019), "Seismic stability of slope using modified pseudo-dynamic method", Int. J. Geotech. Eng., 13(6), 548-559. https://doi.org/10.1080/19386362.2017.1372056.
  5. Eskandarinejad A. and Shafiee A.H. (2011), "Pseudo-dynamic analysis of seismic stability of reinforced slopes considering non-associated flow rule", J. Central South Univ., 18(6), 2091-2099. https://doi.org/10.1007/s11771-011-0948-3.
  6. Fraldi, M., Guarracino, F. (2012), "Limit analysis of progressive tunnel failure of tunnels in Hoek-Brown rock masses", Int. J. Rock Mech. Min. Sci., 50, 170-173. https://doi.org/10.1016/j.ijrmms.2011.12.009.
  7. Hoek, E., Carranza-Torres, C. and Corkum, B. (2002), "Hoek-Brown failure criterion-2002 edition", Proceedings of the North American Rock Mechanics Society Meeting, Toronto, Canada, January.
  8. Huang, F., Feng, Y., Zhang, Z.Q., Yang, X.L. and Ling, T.H. (2019), "Upper bound solution of the safety factor for a shield tunnel face subjected to the Hoek-Brown failure criterion", Int. J. Civ. Eng., 17(12), 1941-1950. https://doi.org/10.1007/s40999-019-00416-3.
  9. Ibrahim, E., Soubra, A.H., Mollon, G., Raphael, W., Dias, D. and Reda, A. (2015), "Three-dimensional face stability analysis of pressurized tunnels driven in a multilayered purely frictional medium", Tunn. Undergr. Sp. Tech., 49(1), 18-34. https://doi.org/10.1016/j.tust.2015.04.001.
  10. Jishnu, R.B., Ramanathan, A., Ahmed, S., Chayan, P. and Ghosh, S. (2016), "Performance of primary tunnel support systems under seismic loads in weak rock masses", Proceedings oft The Conference on Recent Advances in Rock Engineering (RARE 2016), Bengaluru, India, November.
  11. Khezri, N., Mohamad, H., HajiHassani, M. and Fatahi, B. (2015), "The stability of shallow circular tunnels in soil considering variations in cohesion with depth", Tunn. Undergr. Sp. Tech., 49(7), 230-240. https://doi.org/10.1016/j.tust.2015.04.014.
  12. Kumar, J. and Rahaman, O. (2020), "Lower bound limit analysis of unsupported vertical circular excavations in rocks using Hoek-Brown failure criterion", Int. J. Numer. Anal. Met., 44(10), 1093-1106. https://doi.org/10.1002/nag.3051.
  13. Michalowski R.L. and Nadukuru S.S. (2013), "Three-dimensional limit analysis of slopes with pore pressure", J. Geotech. Geoenviron. Eng., 139(9), 1604-1610. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000867.
  14. Mollon, G., Dias, D. and Soubra A.H. (2010), "Face stability analysis of circular tunnels driven by a pressurized shield", J. Geotech. Geoenviron. Eng., 136(1), 215-229. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000194.
  15. Munwar, B.B. and Sivakumar, B.G.L. (2009). "Computation of sliding displacements of bridge abutments by pseudo-dynamic method", Soil Dyn. Earthq. Eng., 29(1), 103-120. https://doi.org/10.1016/j.soildyn.2008.01.006.
  16. Nadukuru, S.S. and Michalowski, R.L. (2013), "Three-dimensional displacement analysis of slopes subjected to seismic loads", Can. Geotech. J., 50(6), 650-661. https://doi.org/10.1139/cgj-2012-0223.
  17. Pakbaz, M.C. and Yareevand, A. (2005), "2-D analysis of circular tunnel against earthquake loading", Tunn. Undergr. Sp. Tech., 20(5), 411-417. https://doi.org/10.1016/j.tust.2005.01.006.
  18. Pan, Q.J. and Dias, D. (2018), "Three-dimensional static and seismic stability analysis of a tunnel face driven in weak rock, asses", Int. J. Geomech., 18(6), 04018055. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001174.
  19. Saada, Z., Maghous, S. and Garnier, D. (2013), "Pseudo-static analysis of tunnel face stability using the generalized Hoek-Brown strength criterion", Int. J. Numer. Anal. Met., 37(18), 3194-3212. https://doi.org/10.1002/nag.2185.
  20. Senent, S., Mollon, G. and Jimenez, R. (2013), "Tunnel face stability in heavily fractured rock masses that follow the HoekBrown failure criterion", Int. J. Rock Mech. Min. Sci., 60(1), 440-451. https://doi.org/10.1016/j.ijrmms.2013.01.004.
  21. Soubra, A.H. (2002), "Kinematical approach to the face stability analysis of shallow circular tunnels", Proceedings of the 8th International Symposium on Plasticity, British Columbia, Canada, July.
  22. Subrin, D. and Wong, H. (2002), "Tunnel face stability in frictional material: A new 3D failure mechanism", Comptes Rendus Mecanique, 330(7), 513-519. https://doi.org/10.1016/S1631-0721(02)01491-2.
  23. Wang, K.H, Ma, S.J. and Wu, W.B (2011). "Pseudo-dynamic analysis of overturning stability of retaining wall", J. Central South Univ., 18(6), 2085-2090. https://doi.org/10.1007/s11771-011-0947-4.
  24. Yigit, A. (2020), "Prediction of amount of earthquake-induced slope displacement by using Newmark method", Eng. Geol., 264, 105385. https://doi.org/10.1016/j.enggeo.2019.105385.
  25. Zhang, B., Ma, Z.Y. and Wang, X. (2020), "Reliability analysis of anti-seismic stability of 3D pressurized tunnel faces by response surfaces method", Geomech. Eng., 20(1), 43-54. https://doi.org/10.12989/gae.2020.20.1.043.
  26. Zhang, D.B. and Zhang, B. (2020), "Stability analysis of the pressurized 3D tunnel face in anisotropic and nonhomogeneous soils", Int. J. Geomech., 20(4), 04020018. https://doi.org10.1061/(ASCE)GM.1943-5622.0001635.
  27. Zhang, D.B., Jiang, Y. and Yang, X.L. (2019), "Estimation of 3D active earth pressure under nonlinear strength condition", Geomech. Eng., 17(6), 515-525. https://doi.org/10.12989/gae.2019.17.6.515.
  28. Zhang, J.H., Wang, W.J., Zhang, D.B., Zhang, B. and Meng, F. (2018), "Safe range of retaining pressure for three-dimensional face of pressurized tunnels based on limit analysis and reliability method", KSCE J. Civ. Eng., 22(11), 4645-4656. https://doi.org/10.1007/s12205-017-0619-5.
  29. Zhang, J.H. and Zhang, B. (2019), "Reliability analysis for seismic stability of tunnel faces in soft rock masses based on a 3D stochastic collapse model", J. Central South Univ., 26(7), 1706-1718. https://doi.org/10.1007/s11771-019-4127-2.
  30. Zhang, J.H., Zhang, L.Y., Wang, W.J., Zhang, D.B. and Zhang, B. (2020), "Probabilistic analysis of three-dimensional tunnel face stability in soft rock masses using Hoek-Brown failure criterion", Int. J. Numer. Anal. Met., 44(11), 1601-1616. https://doi.org/10.1002/nag.3085.