Geomechanics and Engineering

  • 제12권2호
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  • Pages.313-326
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  • 2017
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Reliability analysis of shallow tunnel with surface settlement

  • Yang, X.L. (School of Civil Engineering, Central South University) ;
  • Li, W.T. (School of Civil Engineering, Central South University)
  • 투고 : 2016.03.13
  • 심사 : 2016.11.09
  • 발행 : 2017.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

Based on the reliability theory and limit analysis method, the roof stability of a shallow tunnel is investigated under the condition of surface settlement. Nonlinear Hoek-Brown failure criterion is adopted in the present analysis. With the consideration of surface settlement, the internal energy and external work are calculated. Equating the rate of energy dissipation to the external rate of work, the expression of support pressure is derived. With the help of variational approach, a performance function is proposed to reliability analysis. Improved response surface method is used to calculate the Hasofer-Lind reliability index and the failure probability. In order to assess the validity of the present results, Monte-Carlo simulation is performed to examine the correctness. Sensitivity analysis is used to estimate the influence of different variables on reliability index. Among random variables, the unit weight significantly affects the reliability index. It is found that the greater coefficient of variation of variables lead to the higher failure probability. On the basis of the discussions, the reliability-based design is achieved to calculate the required tunnel support pressure under different situations when the target reliability index is obtained.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation

참고문헌

  1. Chen, W.F. (1975), Limit Analysis and Soil Plasticity, Elsevier, Amsterdam, The Netherlands.
  2. Davis, E.H., Gunn, 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
  3. Fraldi, M. and Guarracino, F. (2010), "Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections", Int. J. Solids Struct., 47(2), 216-223. https://doi.org/10.1016/j.ijsolstr.2009.09.028
  4. Fraldi, M. and Guarracino, F. (2011), "Evaluation of impending collapse in circular tunnels by analytical and numerical approaches", Tunn. Undergr. Space Technol., 26(4), 507-516. https://doi.org/10.1016/j.tust.2011.03.003
  5. 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
  6. Hasofer, A.M. and Lind, N.C. (1974), "Exact and invariant second-moment code format", J. Eng. Mech. Div., 100(1), 111-121.
  7. Hoek, E. and Brown, E.T. (1997), "Practical estimates of rock mass strength", Int. J. Rock Mech. Min. Sci., 34, 1165-1186. https://doi.org/10.1016/S1365-1609(97)80069-X
  8. Huang, F., Qin, C.B. and Li, S.C. (2013), "Determination of minimum cover depth for shallow tunnel subjected to water pressure", J. Central South Univ., 20(8), 2307-2313. https://doi.org/10.1007/s11771-013-1738-x
  9. Kim, S.H. and Na, S.W. (1997), "Response surface method using vector projected sampling points", Struct. Safety, 19(1), 3-19. https://doi.org/10.1016/S0167-4730(96)00037-9
  10. Lee, Y.J. (2016), "Determination of tunnel support pressure under the pile tip using upper and lower bounds with a superimposed approach", Geomech. Eng., Int. J., 11(4), 587-605. https://doi.org/10.12989/gae.2016.11.4.587
  11. Li, Y.X. and Yang, X.L. (2016), "Stability analysis of crack slope considering nonlinearity and water pressure", KSCE J. Civil Eng., 20(6), 2289-2296. https://doi.org/10.1007/s12205-015-0197-3
  12. Low, B.K. and Tang, W.H. (2007), "Efficient spreadsheet algorithm for first-order reliability method", J. Eng. Mech., 133(12), 1378-1387. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:12(1378)
  13. 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., Int. J., 9(1), 115-124.
  14. Phoon, K.K. and Kulhawy, F.H. (1999), "Evaluation of geotechnical property variability", Can. Geotech. J., 36(4), 625-639. https://doi.org/10.1139/t99-039
  15. Rankin, W.J. (1988), "Ground movements resulting from urban tunnelling", Proceedings of the Conference on Engineering Geology of Underground Movements, Nottingham, UK, September, pp. 79-92.
  16. Serrano, A. and Olalla, C. (1999), "Tensile resistance of rock anchors", Int. J. Rock Mech. Min. Sci., 36(4), 449-474. https://doi.org/10.1016/S0148-9062(99)00021-2
  17. Sofianos, A.I. (2003), "Tunnelling Mohr-Coulomb strength parameters for rock masses satisfying the generalized Hoek-Brown criterion", Int. J. Rock Mech. Min. Sci., 40(5), 435-440. https://doi.org/10.1016/S1365-1609(03)00017-0
  18. Su, Y.H., Li, X. and Xie, Z.Y. (2011), "Probabilistic evaluation for the implicit limit-state function of stability of a highway tunnel in China", Tunn. Undergr. Space Technol., 26(2), 422-434. https://doi.org/10.1016/j.tust.2010.11.009
  19. Sun, Z.B. and Qin, C.B. (2014), "Stability analysis for natural slope by a kinematical approach", J. Central South Univ., 21(4), 1546-1553. https://doi.org/10.1007/s11771-014-2095-0
  20. Yang, X.L. and Li, K.F. (2016), "Roof collapse of shallow tunnel in layered Hoek-Brown rock media", Geomech. Eng., Int. J., 11(6), 867-877. https://doi.org/10.12989/gae.2016.11.6.867
  21. Yang, X.L. and Pan, Q.J. (2015), "Three dimensional seismic and static stability of rock slopes", Geomech. Eng., Int. J., 8(1), 97-111. https://doi.org/10.12989/gae.2015.8.1.097
  22. Yang, X.L. and Xiao, H.B. (2016), "Safety thickness analysis of tunnel floor in karst region based on catastrophe theory", J. Central South Univ., 23(9), 2364-2372. https://doi.org/10.1007/s11771-016-3295-6
  23. 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
  24. Yang, X.L., Yao, C. and Zhang, J.H. (2016), "Safe retaining pressures for pressurized tunnel face using nonlinear failure criterion and reliability theory", J. Central South Univ., 23(3), 708-720. https://doi.org/10.1007/s11771-016-3116-y

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