DOI QR코드

DOI QR Code

A quasi-static finite element approach for seismic analysis of tunnels considering tunnel excavation and P-waves

  • Zhao, Wusheng (State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences) ;
  • Zhong, Kun (State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences) ;
  • Chen, Weizhong (State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences) ;
  • Xie, Peiyao (State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences)
  • 투고 : 2020.08.26
  • 심사 : 2022.04.11
  • 발행 : 2022.06.25

초록

The quasi-static finite element (FE) approaches are widely used for the seismic analysis of tunnels. However, the conventional quasi-static approaches may cause significant deviations when the tunnel excavation process is simulated prior to the quasi-static analysis. In addition, they cannot account for vertical excitations. Therefore, this paper first highlights the limitations of conventional approaches. A hybrid quasi-static FE approach is subsequently proposed and extensively validated for various conditions. The hybrid approach is simple and not time consuming, and it can be used for the preliminary seismic design of tunnels, especially when the tunnel excavation and vertically propagating P-waves are considered.

키워드

과제정보

The research described in this paper was financially supported by the National Natural Science Foundation of China under Grant [numbers 52079134, 51991393, U1806226].

참고문헌

  1. ABAQUS (2005), "ABAQUS/standard user's manual version 6.5", Karlsson Sorensen Inc, Hibbit.
  2. Argyroudis, S.A. and Pitilakis, K.D. (2012), "Seismic fragility curves of shallow tunnels in alluvial depsits", Soil Dyn. Earthq. Eng., 35, 1-12. https://doi.org/10.1016/j.soildyn.2011.11.004.
  3. Bobet, A. (2010), "Drained and undrained response of deep tunnels subjected to far-field shear loading", Tunn. Undergr. Sp. Tech., 25(1), 21-31. https://doi.org/10.1016/j.tust.2009.08.001.
  4. Cilingir, U. and Madabhushi, S.P.G. (2011), "Effect of depth on seismic response of circular tunnels", Can. Geotech. J., 48(1), 117-127. https://doi.org/10.1139/T10-047.
  5. FHWA (U.S. Department of Transportation Federal Highway Administration) (2009), "Technical manual for design and construction of road tunnels-Civil elements", Publication No. FHWA-NHI-10-034, Department of transportation, Federal Highway Administration, Washington D.C., U.S.A.
  6. 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.
  7. Hashash, Y.M.A., Hook, J.J., Schmidt, B. and Yao, J.I.C. (2001), "Seismic design and analysis of underground structures", Tunn. Undergr. Sp. Tech., Incorporating Trenchless Technology Research, 16(4), 247-293. https://doi.org/10.1016/S0886-7798(01)00051-7.
  8. Hashash, Y.M.A., Park, D. and Yao, J.I.C. (2005), "Ovaling deformations of circular tunnels under seismic loading, an update on seismic design and analysis of underground structures", Tunn. Undergr. Sp. Tech., 20(5), 435-441. https://doi.org/10.1016/j.tust.2005.02.004.
  9. He, C. and Koizumi, A. (2001), "Study on seismic behavior and seismic design methods in transverse direction of shield tunnels", Struct. Eng. Mech., 11(6), 651-662. https://doi.org/10.12989/sem.2001.11.6.651.
  10. ISO 23469 (2005), "Bases for design of structures - seismic actions for designing geotechnical works", ISO International Standard, ISO TC 98/SC3/WG10.
  11. Kontoe, S., Avgerinos, V. and Potts, D.M. (2014), "Numerical validation of analytical solutions and their use for equivalent-linear seismic analysis of circular tunnels", Soil Dyn. Earthq. Eng., 66, 206-219. https://doi.org/10.1016/j.soildyn.2014.07.004.
  12. Kontoe, S., Zdravkovic, L., Potts, D.M. and Menkiti, C.O. (2008), "Case study on seismic tunnel response", Can. Geotech. J., 45(12), 1743-1764. https://doi.org/10.1139/T08-087.
  13. Kouretzis, G.P., Sloan, S.W. and Carter, J.P. (2013), "Effect of interface friction on tunnel liner internal forces due to seismic S-and P-wave propagation", Soil Dyn. Earthq. Eng., 46, 41-51. https://doi.org/10.1016/j.soildyn.2012.12.010.
  14. Moller, S. (2006), "Tunnel induced settlements and structural forces in linings", Ph.D. Dissertation, University of Stuttgart, Stuttgart, Germany.
  15. Naggar, H.E., Hinchberger, S.D. and Naggar, M.H.E. (2008), "Simplified analysis of seismic in-plane stresses in composite and jointed tunnel linings", Soil Dyn. Earthq. Eng., 28(12), 1063-1077. https://doi.org/10.1016/j.soildyn.2007.12.001.
  16. Park, K.H., Tantayopin, K., Tontavanich, B. and Owatsiriwong, A. (2009), "Analytical solution for seismic-induced ovaling of circular tunnel lining under no-slip interface conditions: A revisit", Tunn. Undergr. Sp. Tech., 24(2), 231-235. https://doi.org/10.1016/j.tust.2008.07.001.
  17. Penzien, J. (2000), "Seismically induced racking of tunnel linings", Earthq. Eng. Struct. D., 29(5), 683-691. https://doi.org/10.1002/(SICI)1096-9845(200005)29:5<683::AID-EQE932> 3.0.CO; 2-1.
  18. Sedarat, H., Kozak, A., Hashash, Y.M.A., Anoosh, S. and Alex, K. (2009), "Contact interface in seismic analysis of circular tunnels", Tunn. Undergr. Sp. Tech., 24(4), 482-490. https://doi.org/10.12989/scs.2013.91.4.1301.
  19. Tsinidis, G., Pitilakis, K. and Anagnostopoulos, C. (2016b), "Circular tunnels in sand: dynamic response and efficiency of seismic analysis methods at extreme lining flexibilities", B. Earthq. Eng., 14(10), 2903-2929. https://doi.org/10.1007/s10518-016-9928-1.
  20. Tsinidis, G., Pitilakis, K. and Madabhushi, G. (2016a), "On the dynamic response of square tunnels in sand", Eng. Struct., 125, 419-437. https://doi.org/10.1016/j.tust.2008.11.002.
  21. Wang, J.N. (1993), "Seismic Design of Tunnels: a State-of-the-art Approach", Quade and Douglas Inc., New York, U.S.A.
  22. Yan, Q.X., Bao, R., Chen, H., Li, B.J., Chen, W.Y., Dai, Y.W. and Zhou, H.Y. (2019), "Dynamic response and waterproof property of tunnel segmental lining subjected to earthquake action", Earthq. Struct., 17(4), 411-424. https://doi.org/10.12989/eas.2019.17.4.411.
  23. Zhao, M., Gao, Z., Du, X., Wang, J. and Zhong, Z. (2019), "Response spectrum method for seismic soil-structure interaction analysis of underground structure", B. Earthq. Eng., 17(9), 5339-5363. https://doi.org/10.1007/s10518-019-00673-6.
  24. Zhong, Z., Filiatrault, A. and Aref, A. (2016), "Numerical simulation and seismic performance evaluation of buried pipelines rehabilitated with cured-in-place-pipe liner under seismic wave propagation", Earthq. Eng. Struct. D., 46(5), 811-829. https://doi.org/10.1002/eqe.2832.