DOI QR코드

DOI QR Code

Three-dimensional limit analysis of seismic stability of tunnel faces with quasi-static method

  • Zhang, B. (School of Civil Engineering, Central South University) ;
  • Wang, X. (School of Civil Engineering, Central South University) ;
  • Zhang, J.S. (School of Civil Engineering, Central South University) ;
  • Meng, F. (Centre for Innovative Structures and Materials, School of Civil Engineering, MIT University)
  • Received : 2016.10.18
  • Accepted : 2017.03.11
  • Published : 2017.08.25

Abstract

Based on the existing research results, a three-dimensional failure mechanism of tunnel face was constructed. The dynamic seismic effect was taken into account on the basis of quasi-static method, and the nonlinear Mohr-Coulomb failure criterion was introduced into the limit analysis by using the tangent technique. The collapse pressure along with the failure scope of tunnel face was obtained through nonlinear limit analysis. Results show that nonlinear coefficient and initial cohesion have a significant impact on the collapse pressure and failure zone. However, horizontal seismic coefficient and vertical seismic proportional coefficient merely affect the collapse pressure and the location of failure surface. And their influences on the volume and height of failure mechanism are not obvious. By virtue of reliability theory, the influences of horizontal and vertical seismic forces on supporting pressure were discussed. Meanwhile, safety factors and supporting pressures with respect to 3 different safety levels are also obtained, which may provide references to seismic design of tunnels.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, Hunan University of Science and Technology

References

  1. Alielahi, H. and Adampira, M. (2016a), "Effect of twin-parallel tunnels on seismic ground response due to vertically in-plane waves", Int. J. Rock Mech. Min. Sci., 85, 67-83.
  2. Alielahi, H. and Adampira, M. (2016b), "Seismic effects of two-dimensional subsurface cavity on the ground motion by BEM: Amplification patterns and engineering applications", Int. J. Civil Eng., 14(4), 233-251. https://doi.org/10.1007/s40999-016-0020-7
  3. Alielahi, H. and Adampira, M. (2016c), "Site-specific response spectra for seismic motions in half-plane with shallow cavities", Soil Dyn. Earthq. Eng., 80, 163-167. https://doi.org/10.1016/j.soildyn.2015.10.003
  4. Chen, W.F. (1975), Limit Analysis and Soil Plasticity, Elsevier Science, Amsterdam, The Netherlands.
  5. Leca, E. and Dormieux, L. (1990), "Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material", Geotechnique, 40(4), 581-606. https://doi.org/10.1680/geot.1990.40.4.581
  6. Liu, X.R., Li, D.L., Wang, J.B. and Wang, Z. (2015), "Surrounding rock pressure of shallow-buried bilateral bias tunnels under earthquake", Geomech. Eng., 9(4), 427-445. https://doi.org/10.12989/gae.2015.9.4.427
  7. Michalowski, R.L. (2010), "Limit analysis and stability charts for 3D slope failures", J. Geotech. Geoenviron. Eng., 136(4), 583-593. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000251
  8. 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
  9. 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
  10. Mollon, G., Dias, D. and Soubra, A.H. (2011), "Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield", Int. J. Numer. Anal. Methods Geomech., 35(12), 1363-1388. https://doi.org/10.1002/nag.962
  11. Mollon, G., Dias, D. and Soubra, A.H. (2013), "Range of the safe retaining pressures of a pressurized tunnel face by a probabilistic approach", J. Geotech. Geoenviron. Eng., 139(11), 1954-1967. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000911
  12. Panji, M., Koohsari, H., Adampira, M., Alielahi, H. and Marnani, J.A. (2016), "Stability analysis of shallow tunnels subjected to eccentric loads by a boundary element method", J. Rock Mech. Geotech. Eng., 8(4), 480-488. https://doi.org/10.1016/j.jrmge.2016.01.006
  13. Pitilakis, K., Tsinidis, G., Leanza, A. and Maugeri, M. (2014), "Seismic behaviour of circular tunnels accounting for above ground structures interaction effects", Soil Dyn. Earthq. Eng., 67(67), 1-15. https://doi.org/10.1016/j.soildyn.2014.08.009
  14. 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. Methods Geomech., 37(18), 3194-3212. https://doi.org/10.1002/nag.2185
  15. Sahoo, J.P. and Kumar, J. (2014), "Stability of a circular tunnel in presence of pseudostatic seismic body forces", Tunnel. Undergr. Space Technol., 42(5), 264-276. https://doi.org/10.1016/j.tust.2014.03.003
  16. Shen, Y.S., Gao, B., Yang, X.M. and Tao, S.J. (2014), "Seismic damage mechanism and dynamic deformation characteristic analysis of mountain tunnel after Wenchuan earthquake", Eng. Geol., 180, 85-98. https://doi.org/10.1016/j.enggeo.2014.07.017
  17. Soubra, A.H. (2000), "Three-dimensional face stability analysis of shallow circular tunnels", Proceedings of International Conference on Geotechnical and Geological Engineering, International Society for Rock Mechanic, Melbourne, Australia, November.
  18. 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, pp. 443-445.
  19. Soubra, A.H., Dias, D., Emeriault, F. and Kastner, R. (2008), "Three-dimensional face stability analysis of circular tunnels by a kinematical approach", Proceedings of the GeoCongress, Characterization, Monitoring, and Modelling of Geosystems, New Orleans, LA, USA, March, pp. 9-12.
  20. 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
  21. Yang, X.L. and Yan, R.M. (2015), "Collapse mechanism for deep tunnel subjected to seepage force in layered soils", Geomech. Eng., Int. J., 8(5), 741-756. https://doi.org/10.12989/gae.2015.8.5.741
  22. Yang, X.L. and Zou, J.F. (2011), "Cavity expansion analysis with non-linear failure criterion", P. I. Civil Eng.-Geotec., 164(1), 41-49.
  23. Yang, X.L., Yang, Z.H., Li, Y.X. and Li, S.C. (2013), "Upper bound solution for supporting pressure acting on shallow tunnel based on modified tangential technique", J. Central South Univ., 20(12), 3676-3682. https://doi.org/10.1007/s11771-013-1895-y
  24. Zhang, J.H., Xu, J.S. and Zhang, B. (2014), "Energy analysis of stability of twin shallow tunnels based on nonlinear failure criterion", J. Central South Univ., 21(12), 4669-4676. https://doi.org/10.1007/s11771-014-2475-5

Cited by

  1. Deterministic and probabilistic analysis of tunnel face stability using support vector machine vol.25, pp.1, 2021, https://doi.org/10.12989/gae.2021.25.1.017
  2. Reliability Analysis of Seismic Stability of Shield Tunnel Face under Multiple Correlated Failure Modes vol.25, pp.8, 2017, https://doi.org/10.1007/s12205-021-2174-3