DOI QR코드

DOI QR Code

Limit analysis of seismic collapse for shallow tunnel in inhomogeneous ground

  • Guo, Zihong (College of Civil Engineering, Sichuan Agricultural University) ;
  • Liu, Xinrong (School of Civil Engineering, Chongqing University) ;
  • Zhu, Zhanyuan (College of Civil Engineering, Sichuan Agricultural University)
  • 투고 : 2017.09.04
  • 심사 : 2021.03.09
  • 발행 : 2021.03.10

초록

Shallow tunnels are vulnerable to earthquakes, and shallow ground is usually inhomogeneous. Based on the limit equilibrium method and variational principle, a solution for the seismic collapse mechanism of shallow tunnel in inhomogeneous ground is presented. And the finite difference method is employed to compare with the analytical solution. It shows that the analytical results are conservative when the horizontal and vertical stresses equal the static earth pressure and zero at vault section, respectively. The safety factor of shallow tunnel changes greatly during an earthquake. Hence, the cyclic loading characteristics should be considered to evaluate tunnel stability. And the curve sliding surface agrees with the numerical simulation and previous studies. To save time and ensure accuracy, the curve sliding surface with 2 undetermined constants is a good choice to analyze shallow tunnel stability. Parameter analysis demonstrates that the horizontal semiaxis, acceleration, ground cohesion and homogeneity affect tunnel stability greatly, and the horizontal semiaxis, vertical semiaxis, tunnel depth and ground homogeneity have obvious influence on tunnel sliding surface. It concludes that the most applicable approaches to enhance tunnel stability are reducing the horizontal semiaxis, strengthening cohesion and setting the tunnel into good ground.

키워드

참고문헌

  1. Amorosi, A. and Boldini, D. (2009), "Numerical modelling of the transverse dynamic behaviour of circular tunnels in clayey soils", Soil Dyn. Earthq. Eng., 29(6), 1059-1072. https://doi.org/ 10.1016/j.soildyn.2008.12.004.
  2. Argyroudis, S.A. and Pitilakis, K.D. (2012), "Seismic fragility curves of shallow tunnels in alluvial deposits", Soil Dyn. Earthq. Eng., 35, 1-12. https://doi.org/10.1016/j.soildyn.2011.11.004.
  3. Atkinson, J. and Potts, D. (1977), "Stability of a shallow circular tunnel in cohesionless soil", Geotechnique, 27(2), 203-215. https://doi.org/10.1680/geot.1977.27.2.203.
  4. Azadi, M. and Hosseini, S.M.M. (2010), "Analyses of the effect of seismic behavior of shallow tunnels in liquefiable grounds", Tunn. Undergr. Sp. Tech., 25(5), 543-552. https://doi.org/10.1016/j.tust.2010.03.003.
  5. Bilotta, E., Lanzano, G., Russo, G., Santucci de Magistris, F., Aiello, V., Conte, E., Silvestri, F. and Valentino, M. (2007), "Pseudostatic and dynamic analyses of tunnels in transversal and longitudinal directions", Proceedings of the 4th International Conference on Earthquake Geotechnical Engineering, Thessaloniki, Greece.
  6. Davis, E., Gunn, M., Mair, R. and Seneviratine, H. (1980), "The stability of shallow tunnels and underground openings in cohesive material", Geotechnique, 30(4), 397-416. https://doi.org/10.1680/geot.1980.30.4.397.
  7. Fraldi, M. and Guarracino, F. (2009), "Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek-Brown failure criterion", Int. J. Rock Mech. Min. Sci., 46(4), 665-673. https://doi.org/10.1016/j.ijrmms.2008.09.014.
  8. Fraldi, M. and 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.
  9. Ghosh, S. (2010), "Pseudo-dynamic active force and pressure behind battered retaining wall supporting inclined backfill", Soil Dyn. Earthq. Eng., 30(11), 1226-1232. https://doi.org/10.1016/j.soildyn.2010.05.003.
  10. Gomes, R.C., Gouveia, F., Torcato, D. and Santos, J. (2015), "Seismic response of shallow circular tunnels in two-layered ground", Soil Dyn. Earthq. Eng., 75, 37-43. https://doi.org/10.1016/j.soildyn.2015.03.012.
  11. Huang, F. and Yang, X. (2011), "Upper bound limit analysis of collapse shape for circular tunnel subjected to pore pressure based on the Hoek-Brown failure criterion", Tunn. Undergr. Sp. Tech., 26(5), 614-618. https://doi.org/10.1016/j.tust.2011.04.002.
  12. Huang, F., Zhang, D.B., Sun, Z.B. and Jin, Q.Y. (2012), "Upper bound solutions of stability factor of shallow tunnels in saturated soil based on strength reduction technique", J. Central South Univ., 19, 2008-2015. https://doi.org/10.1007/s11771-012-1238-4.
  13. Jaky, J. (1944), "The coefficient of earth pressure at rest", J. Soc. Hungarian Arch. Eng., 78(22), 355-358. https://doi.org/10.1139/t93-056
  14. Jones, S. and Hunt, H. (2012), "Predicting surface vibration from underground railways through inhomogeneous soil", J. Sound Vib., 331(9), 2055-2069. https://doi.org/10.1016/j.jsv.2011.12.032.
  15. Kolathayar, S. and Ghosh, P. (2009), "Seismic active earth pressure on walls with bilinear backface using pseudo-dynamic approach", Comput. Geotech., 36(7), 1229-1236. https://doi.org/ 10.1016/j.compgeo.2009.05.015.
  16. Lei, M., Peng, L. and Shi, C. (2014), "Calculation of the surrounding rock pressure on a shallow buried tunnel using linear and nonlinear failure criteria", Automat. Constr., 37, 191-195. https://doi.org/ 10.1016/j.autcon.2013.08.001.
  17. Lei, M., Peng, L. and Shi, C. (2015), "Model test to investigate the failure mechanisms and lining stress characteristics of shallow buried tunnels under unsymmetrical loading", Tunn. Undergr. Sp. Tech., 46, 64-75. https://doi.org/10.1016/j.tust.2014.11.003.
  18. Munwar Basha, B. and Sivakumar Babu, G.L. (2010), "Reliability assessment of internal stability of reinforced soil structures: A pseudo-dynamic approach", Soil Dyn. Earthq. Eng., 30(5), 336-353. https://doi.org/ 10.1016/j.soildyn.2009.12.007.
  19. Phoon, K.K. and Kulhawy, F.H. (1999), "Characterization of geotechnical variability", Can. Geotech. J., 36(4), 612-624. https://doi.org/ 10.1139/cgj-36-4-612
  20. 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, 1-15. https://doi.org/ 10.1016/j.soildyn.2014.08.009.
  21. Popescu, R., Deodatis, G. and Nobahar, A. (2005), "Effects of random heterogeneity of soil properties on bearing capacity", Probab. Eng. Mech., 20(4), 324-341. https://doi.org/10.1016/j.probengmech.2005.06.003.
  22. 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. Meth. Geomech., 37(18), 3194-3212. https://doi.org/ 10.1002/nag.2185.
  23. Sahoo, J.P. and Kumar, J. (2013), "Stability of long unsupported twin circular tunnels in soils", Tunn. Undergr. Sp. Tech., 38, 326-335. https://doi.org/10.1016/j.tust.2013.07.005.
  24. Sahoo, J.P. and Kumar, J. (2014), "Stability of a circular tunnel in presence of pseudostatic seismic body forces", Tunn. Undergr. Sp. Tech., 42, 264-276. https://doi.org/ 10.1016/j.tust.2014.03.003.
  25. Shen, Y., Gao, B., Yang, X. and Tao, S. (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.
  26. Sterpi, D. and Cividini, A. (2004), "A physical and numerical investigation on the stability of shallow tunnels in strain softening media", Rock Mech. Rock Eng., 37(4), 277-298. https://doi.org/10.1007/s00603-003-0021-0.
  27. Tao, L., Hou, S., Zhao, X., Qiu, W., Li, T., Liu, C. and Wang, K. (2015),"3-D shell analysis of structure in portal section of mountain tunnel under seismic SH wave action", Tunn. Undergr. Sp. Tech., 46, 116-124. https://doi.org/10.1016/j.tust.2014.11.001.
  28. Wang, T., Zhou, G., Wang, J. and Zhao, X. (2016), "Stochastic analysis for the uncertain temperature field of tunnel in cold regions", Tunn. Undergr. Sp. Tech., 59, 7-15. https://doi.org/10.1016/j.tust.2016.06.009.
  29. Wang, W., Wang, T., Su, J., Lin, C., Seng, C. and Huang. T. (2001), "Assessment of damage in mountain tunnels due to the Taiwan Chi-Chi Earthquake", Tunn. Undergr. Sp. Tech., 16(3), 133-150. https://doi.org/10.1016/S0886-7798(01)00047-5.
  30. Wang, Z. and Zhang, Z. (2013), "Seismic damage classification and risk assessment of mountain tunnels with a validation for the 2008 Wenchuan earthquake", Soil Dyn. Earthq. Eng., 45, 45-55. https://doi.org/10.1016/j.soildyn.2012.11.002.
  31. Yamamoto, K., Lyamin, A.V., Wilson, D.W., Sloan, S.W. and Abbo, A.J. (2011), "Stability of a circular tunnel in cohesive-frictional soil subjected to surcharge loading", Comput. Geotech., 38(4), 504-514. https://doi.org/10.1016/j.compgeo.2011.02.014.
  32. Yang, X. and Huang, F. (2011), "Collapse mechanism of shallow tunnel based on nonlinear Hoek-Brown failure criterion", Tunn. Undergr. Sp. Tech., 26(6), 686-691. https://doi.org/10.1016/j.tust.2011.05.008.
  33. Yang, X.L. and Long, Z.X. (2015), "Roof collapse of shallow tunnels with limit analysis method", J. Central South Univ., 22, 1929-1936. https://doi.org/ 10.1007/s11771-015-2712-6.