Geomechanics and Engineering

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Reliability analysis of three-dimensional rock slope

  • Yang, X.L. (School of Civil Engineering, Central South University) ;
  • Liu, Z.A. (School of Civil Engineering, Central South University)
  • Received : 2017.10.21
  • Accepted : 2018.04.13
  • Published : 2018.08.30
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Abstract

Reliability analysis is generally regarded as the most appropriate method when uncertainties are taken into account in slope designs. With the help of limit analysis, probability evaluation for three-dimensional rock slope stability was conducted based upon the Mote Carlo method. The nonlinear Hoek-Brown failure criterion was employed to reflect the practical strength characteristics of rock mass. A form of stability factor is used to perform reliability analysis for rock slopes. Results show that the variation of strength uncertainties has significant influence on probability of failure for rock slopes, as well as strength constants. It is found that the relationship between probability of failure and mean safety factor is independent of the magnitudes of input parameters but relative to the variability of variables. Due to the phenomenon, curves displaying this relationship can provide guidance for designers to obtain factor of safety according to required failure probability.

Keywords

References

  1. Al-Homoud, A.S. and Tanash, N. (2004), "Modeling uncertainty in stability analysis for design of embankment dams on difficult foundations", Eng. Geol., 71(3), 323-342. https://doi.org/10.1016/S0013-7952(03)00144-3
  2. Cai, M., Kaiser, P.K., Tasaka, Y. and Minami, M. (2007), "Determination of residual strength parameters of jointed rock masses using the GSI system", Int. J. Rock Mech. Min. Sci., 44(2), 247-265. https://doi.org/10.1016/j.ijrmms.2006.07.005
  3. Cassidy, M.J., Uzielli, M. and Lacasse, S. (2008), "Probability risk assessment of landslides: A case study at Finneidfjord", Can. Geotech. J., 45(9), 1250-1267. https://doi.org/10.1139/T08-055
  4. Griffiths, D.V. and Marquez, R.M. (2007), "Three-dimensional slope stability analysis by elasto-plastic finite elements", Geotechnique, 57(6), 537-546. https://doi.org/10.1680/geot.2007.57.6.537
  5. Hoek, E. (1998), "Reliability of Hoek-Brown estimates of rock mass properties and their impact on design", Int. J. Rock Mech. Min. Sci., 35(1), 63-68. https://doi.org/10.1016/S0148-9062(97)00314-8
  6. Hoek, E. and Brown, E.T. (1980), "Empirical strength criterion for rock masses", J. Geotech. Eng. Div., 106(9), 1013-1035.
  7. Hoek, E., Carranza-Torres, C. and Corkum, B. (2002), "Hoek-Brown failure criterion-2002 edition", Proceedings of NARMSTAC, 1, 267-273.
  8. Huang, X.L., Zhou, Z.G. and Yang, X.L. (2018), "Roof failure of shallow tunnel based on simplified stochastic medium theory", Geomech. Eng., 14(6), 571-580. https://doi.org/10.12989/GAE.2018.14.6.571
  9. Hungr, O. (1987), "An extension of Bishop's simplified method of slope stability analysis to three dimensions", Geotechnique, 37(1), 113-117. https://doi.org/10.1680/geot.1987.37.1.113
  10. Li, A.J., Cassidy, M.J., Wang, Y., Merifield, R.S. and Lyamin, A.V. (2012), "Parametric Monte Carlo studies of rock slopes based on the Hoek-Brown failure criterion", Comput. Geotech., 45, 11-18. https://doi.org/10.1016/j.compgeo.2012.05.010
  11. Li, K.S. and Lumb, P. (1987), "Probabilistic design of slopes", Can. Geotech. J., 24(4), 520-535. https://doi.org/10.1139/t87-068
  12. Li, T.Z. and Yang, X.L. (2018a), "Risk assessment model for water and mud inrush in deep and long tunnels based on normal grey cloud clustering method", KSCE J. Civil Eng., 22(5), 1991-2001. https://doi.org/10.1007/s12205-017-0553-6
  13. Li, Z.W. and Yang, X.L. (2018b), "Stability of 3D slope under steady unsaturated flow condition", Eng. Geol., 242, 150-159. https://doi.org/10.1016/j.enggeo.2018.06.004
  14. Low, B.K. (2007), "Reliability analysis of rock slopes involving correlated nonnormals", Int. J. Rock Mech. Min. Sci., 44(6), 922-935. https://doi.org/10.1016/j.ijrmms.2007.02.008
  15. Luo, W.H. and Li, W.T. (2016), "Reliability analysis of supporting pressure in tunnels based on three-dimensional failure mechanism", J. Central South Univ., 23(5), 1243-1252. https://doi.org/10.1007/s11771-016-0374-7
  16. Michalowski, R.L. (1989), "Three-dimensional analysis of locally loaded slopes", Geotechnique, 39(1), 27-38. https://doi.org/10.1680/geot.1989.39.1.27
  17. Michalowski, R.L. and Drescher, A. (2009), "Three-dimensional stability of slopes and excavations", Geotechnique, 59(10), 839-850. https://doi.org/10.1680/geot.8.P.136
  18. Shinoda, M. (2007), "Quasi-Monte Carlo simulation with low-discrepancy sequence for reinforced soil slopes", J. Geotech. Geoenviron. Eng., 133(4), 393-404. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:4(393)
  19. Xu, J.S., Li, Y.X. and Yang, X.L. (2018), "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
  20. Xu, J.S. and Yang, X.L. (2018a), "Effects of seismic force and pore water pressure on three dimensional slope stability in nonhomogeneous and anisotropic soil", KSCE J. Civil Eng., 22(5), 1720-1729. https://doi.org/10.1007/s12205-017-1958-y
  21. Xu, J.S. and Yang, X.L. (2018b), "Three-dimensional stability analysis of slope in unsaturated soils considering strength nonlinearity under water drawdown", Eng. Geol., 237, 102-115. https://doi.org/10.1016/j.enggeo.2018.02.010
  22. Yang, X.L. and Li, Z.W. (2018a), "Kinematical analysis of 3D passive earth pressure with nonlinear yield criterion", Int. J. Numer. Anal. Meth. Geomech., 42(7), 916-930. https://doi.org/10.1002/nag.2771
  23. Yang, X.L. and Li, Z.W. (2018b), "Upper bound analysis of 3D static and seismic active earth pressure", Soil Dyn. Earthq. Eng., 108, 18-28. https://doi.org/10.1016/j.soildyn.2018.02.006
  24. Yang, X.L. and Wang, H.Y. (2018), "Catastrophe analysis of active-passive mechanisms for shallow tunnels with settlement", Geomech. Eng., 15(1), 621-630. https://doi.org/10.12989/GAE.2018.15.1.621
  25. Yang, X.L. and Zhang, S. (2018a), "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
  26. Yang, X.L. and Zhang, R. (2018b), "Limit analysis of stability of twin shallow tunnels considering surface settlement", KSCE J. Civil Eng., 22(5), 1967-1977. https://doi.org/10.1007/s12205-017-1398-8
  27. Zhang, D.B. and Sun, Z.B. (2013), "Reliability analysis of retaining walls with multiple failure modes", J. Central South Univ., 20(10), 2879-2288. https://doi.org/10.1007/s11771-013-1809-z
  28. Zhang, X.J. and Chen, W.F. (1987), "Stability analysis of slopes with general nonlinear failure criterion", Int. J. Numer. Anal. Meth. Geomech., 11(1), 33-50. https://doi.org/10.1002/nag.1610110104

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