DOI QR코드

DOI QR Code

Roof failure of shallow tunnel based on simplified stochastic medium theory

  • Huang, Xiaolin (School of Traffic and Transportation Engineering, Changsha University of Science and Technology) ;
  • Zhou, Zhigang (School of Traffic and Transportation Engineering, Changsha University of Science and Technology) ;
  • Yang, X.L. (School of Civil Engineering, Central South University)
  • 투고 : 2017.03.08
  • 심사 : 2017.11.01
  • 발행 : 2018.04.30

초록

The failure mechanism of tunnel roof is investigated with upper bound theorem of limit analysis. The stochastic settlement and nonlinear failure criterion are considered in the present analysis. For the collapse of tunnel roof, the surface settlement is estimated by the simplified stochastic medium theory. The failure curve expressions of collapse blocks in homogeneous and in layered soils are derived, and the effects of material parameters on the potential range of failure mechanisms are discussed. The results show that the material parameters of initial cohesion, nonlinear coefficient and unit weight have significant influences on the potential range of collapse block in homogeneous media. The proportion of collapse block increases as the initial cohesion increases, while decreases as the nonlinear coefficient and the unit weight increase. The ground surface settlement increases with the tunnel radius increasing, while the possible collapse proportion decreases with increase of the tunnel radius. In layered stratum, the study is investigated to analyze the effects of material parameters of different layered media on the proportion of possible collapse block.

키워드

참고문헌

  1. Anyaegbunam, A.J. (2015), "Nonlinear power-type failure laws for geomaterials: Synthesis from triaxial data, properties, and applications", J. Geomech., 15(1), 04014036. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000348
  2. Atkinson, J.H. and Potts, D.M. (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
  3. Chen, W.F. (1975), Limit Analysis and Soil Plasticity, Elsevier Science, Amsterdam, The Netherlands.
  4. Davis, E.H., Dunn, M.J., Mair, R.J. and Seneviratne, H.N. (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
  5. Fahimifar, A., Ghadami, H. and Ahmadvand, M. (2015), "The ground response curve of underwater tunnels, excavated in a strain-softening rock mass", Geomech. Eng., 8(3), 323-359. https://doi.org/10.12989/gae.2015.8.3.323
  6. Fraldi, M. and Guarracino, F. (2009), "Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek-Brown failure criterion", J. Rock Mech. Min. Sci., 46(4), 665-673. https://doi.org/10.1016/j.ijrmms.2008.09.014
  7. Fraldi, M. and Guarracino, F. (2011), "Evaluation of impending collapse in circular tunnels by analytical and numerical approaches", Tunn. Undergr. Sp. Technol., 26(4), 507-516. https://doi.org/10.1016/j.tust.2011.03.003
  8. Han, Y.Z. and Liu, H.B. (2016), "Failure of circular tunnel in saturated soil subjected to internal blast loading", Geomech. Eng., 11(3), 421-438. https://doi.org/10.12989/gae.2016.11.3.421
  9. Khezri, N., Mohamad, H. and Fatahi, B. (2016), "Stability assessment of tunnel face in a layered soil using upper bound theorem of limit analysis", Geomech. Eng., 11(4), 471-492. https://doi.org/10.12989/gae.2016.11.4.471
  10. 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
  11. Lee, K.M. and Xiao, Z.R. (2001), "A simplified nonlinear approach for pile group settlement analysis in multilayered soils", Can. Geotech. J., 38(5), 1063-1080. https://doi.org/10.1139/t01-034
  12. Lee, Y.J. (2016), "Determination of tunnel 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
  13. Li, T.Z. and Yang, X.L. (2017), "Limit analysis of failure mechanism of tunnel roof collapse considering variable detaching velocity along yield surface", J. Rock Mech. Min. Sci., 100, 229-237.
  14. Li, T.Z. and Yang, X.L. (2018), "Reliability analysis of tunnel face in broken soft rocks using improved response surface method", J. Geomech., 18(5), 04018021. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001129
  15. Li, T.Z., Li, Y.X. and Yang, X.L. (2017), "Rock burst prediction based on genetic algorithms and extreme learning machine", J. Central South Univ., 24(9), 2105-2113. https://doi.org/10.1007/s11771-017-3619-1
  16. Litwiniszyn, J. (1957), "The theories and model research of movements of ground masses", Proceedings of European Congress Ground Movement, Leeds, U.K.
  17. Mohammadi, M. and Tavakoli, H. (2015), "Comparing the generalized Hoek-Brown and Mohr-Coulomb failure criteria for stress analysis on the rocks failure plane", Geomech. Eng., 9(1), 115-124. https://doi.org/10.12989/gae.2015.9.1.115
  18. Moormann, C. (2004), "Analysis of wall and ground movements due to deep excavations in soft soil based on a new worldwide database", Soil. Found., 44(1), 87-98. https://doi.org/10.3208/sandf.44.87
  19. Osman, A.S. (2010), "Stability of unlined twin tunnels in undrained clay", Tunn. Undergr. Sp. Technol., 25(3), 290-296. https://doi.org/10.1016/j.tust.2010.01.004
  20. Ou, C.Y., Hsieh, P.G. and Chiou, D.C. (1993), "Characteristics of ground surface settlement during excavation", Can. Geotech. J., 30(5), 758-767. https://doi.org/10.1139/t93-068
  21. Wu, B. and Lee, C.J. (2003), "Ground movements and collapse mechanisms induced by tunneling in clayey soil", J. Phys. Modell. Geotech., 13(4), 13-27.
  22. Xu, J.S., Li, Y.X. and Yang, X.L. (2018b), "Stability charts and reinforcement with piles in 3D nonhomogeneous and anisotropic soil slope", Geomech. Eng., 14(1), 71-81. https://doi.org/10.12989/GAE.2018.14.1.071
  23. Xu, J.S., Pan, Q.J., Yang, X.L. and Li, W.T. (2018a), "Stability charts for rock slopes subjected to water drawdown based on the modified nonlinear Hoek-Brown failure criterion", J. Geomech., 18(1), 04017133. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001039
  24. Yang, X.L. (2017), "Effect of pore-water pressure on 3D stability of rock slope", J. Geomech., 17(9), 06017015. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000969
  25. Yang, X.L. (2018), "Lower-bound analytical solution for bearing capacity factor using modified Hoek-Brown failure criterion", Can. Geotech. J., 55(4), 577-583. https://doi.org/10.1139/cgj-2016-0694
  26. Yang, X.L. and Yao, C. (2018), "Stability of tunnel roof in nonhomogeneous soils", J. Geomech., 18(3), 06018002. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001104
  27. Yang, X.L. and Zhang, R. (2017), "Collapse analysis of shallow tunnel subjected to seepage in layered soils considering joined effects of settlement and dilation", Geomech. Eng., 13(2), 217-235. https://doi.org/10.12989/GAE.2017.13.2.217
  28. Yang, X.L. and Zhang, S. (2018), "Risk assessment model of tunnel water inrush based on improved attribute mathematical theory", J. Central South Univ., 25(2), 379-391. https://doi.org/10.1007/s11771-018-3744-5
  29. Yang, X.L., Li, Z.W., Liu, Z.A. and Xiao, H.B. (2017), "Collapse analysis of tunnel floor in karst area based on Hoek-Brown rock media", J. Central South Univ., 24(4), 957-966. https://doi.org/10.1007/s11771-017-3498-5
  30. Yang, Z.H., Zhang, R., Xu, J.S. and Yang, X.L. (2017), "Energy analysis of rock plug thickness in karst tunnels based on nonassociated flow rule and nonlinear failure criterion", J. Central South Univ., 24(12), 2940-2950. https://doi.org/10.1007/s11771-017-3708-1
  31. Zhang, L.L., Zhang, J. and Zhang, L.M. (2010), "Back analysis of slope failure with markov chain monte carlo simulation", Comput. Geotech., 37(7), 905-912. https://doi.org/10.1016/j.compgeo.2010.07.009

피인용 문헌

  1. A Theoretical Calculation Method of the Unsupported Span for the Shallow Tunnel in the Soft Stratum vol.2020, pp.None, 2018, https://doi.org/10.1155/2020/7989036