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Probability Study On Submarine Slope Stability

  • S. Yang
  • F. Nadim
  • C. F. Forsberg
Part of the Advances in Natural and Technological Hazards Research book series (NTHR, volume 27)

Most of the parameters used in slope stability analyses, in particular the mechanical soil properties, are uncertain. Probability theory and reliability analyses can provide a rational framework for dealing with uncertainties. Different methods for doing reliability analysis for slopes are discussed in this study and applied to case studies. The results obtained from FOSM, PEM, and FORM via response surface method combined with the finite element method are compared, and the parameters which contribute most to the uncertainty in the factor of safety are identified.

Keywords

Safety Factor Slope Stability Reliability Index Response Surface Method Slope Stability Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Ang, A.H.S., and Tang, W.,1984. Probability concepts in engineering planning and design. Vol. 1, Basic principles. John Wiley and Sons, New York, USA.Google Scholar
  2. Bucher, C.G., Chen, Y.M., and Schuller, G.I., 1989. “Time variant reliability analysis utilizing response surface approach.” Proc., 2nd International Federation for Information Processing, Working Group 7.5 Conf., Springer, Berlin.Google Scholar
  3. Bucher, C.G., and Bourgund, U., 1990. “A fast and efficient response surface approach for structural reliability problems.” Struct. Safety, Amsterdam, 7, 57–66.CrossRefGoogle Scholar
  4. Chowdhury, R.N., 1984. Recent development in landslide studies: Probability methods state of the art report. The forth international symposium on landslides, Vol.1, 209–228.Google Scholar
  5. Christian, J.T., Ladd, C.C., and Baecher, G.B. 1994. “Reliability applied to slope stability analysis.” J. Geotech. Eng., Vol.120, No.12, 2180–2207.CrossRefGoogle Scholar
  6. Christian J.T., 1996. Reliability methods for atability of existing slopes. Proceedings of Uncertainty in the geologic environment: From theory to Practice. Geotechnical special publication No.58, 409–418.Google Scholar
  7. Christian, J.T., and Baecher, G.B., 2002. The point-estimate method with large numbers of variables. International Journal for Numerical and analytical methods in geomechanics, 26, 1515–1529.CrossRefGoogle Scholar
  8. Christian, J.T., 2004. Geotechnical Engineering reliability: How well do we know what we are doing? ASCE Journal of Geotechnical Engineering, 120(12):2180–2207.CrossRefGoogle Scholar
  9. Duncan, J.M., 2000. Factors of safety and reliability in geotechnical engineering. Journal of Geotechnical and Geoenvironmental Engineering, Vol. 126, No.4, 307–316.CrossRefGoogle Scholar
  10. El-Ramly H., Morgenstern N.R., and Cruden D.M., 2002. Probabilistic slope stability analysis for practice, Canadian Geotechnical Journal, 39, 665–683.CrossRefGoogle Scholar
  11. El-Ramly H., Morgenstern N.R., and Cruden D.M., 2003. Probabilistic stability analysis of a tailings dyke on presheared clay-shale Canadian Geotechnical Journal, 40 192–208.CrossRefGoogle Scholar
  12. Fenton, G.A., and Griffiths, D.V., 2005. A slope stability reliability model, Proceedings of the K.Y. Lo Symposium, on CD, London, Ontario, Jul 7-8.Google Scholar
  13. Griffiths, D.V., and Fenton, G.A., 2004. Probabilistic slope stability by finite elements, ASCE Journal of Geotechnical and Geoenvironmental Engineering, 130(5), 507–518.CrossRefGoogle Scholar
  14. Hasofer, A.M., and Lind, N.C., 1974. An exact and invariant first order reliability format. ASCE Journal of Engineering Mechanics Division, 100, EM1, 111-121.Google Scholar
  15. Hassan A.M., and Wolff, T.F., 2000. Effect of deterministic and probabilistic models on slope reliability index. Geotechnical special publication No.101, Slope stability, ASCE194-208.Google Scholar
  16. Huh, J., and Haldar, A., 2001. Stochastic finite element based seismic risk of nonlinear structures. Journal of structural engineering, Vol. 127, No.3, 323–329.CrossRefGoogle Scholar
  17. Kvalstad T.J., Nadim F., Kaynia A.M., Mokkelbost K.H., Bryn P., 2005. Soil conditions and slope stability in the Ormen Lange area, Marine and Petroleum Geology, Vol. 22, 299–310CrossRefGoogle Scholar
  18. Ladd, C.C., Foott, R., 1974. New design procedures for stability of soft clays. Journal of the Geotechnical Engineering Division, ASCE 100 (GT7), 763-786.Google Scholar
  19. Li, K.S., and Lumb, P., 1987. Probabilistic design of slopes. Canadian Geotechnical journal, 24: 520–535.CrossRefGoogle Scholar
  20. Maia, J.A.C., and Assis, A.P., 2005. Reliability analysis of iron mine slopes. Proceedings of the international conference on landslide risk management, Vancouver, Canada, 31 May-3 June, 623–627.Google Scholar
  21. Mienert, J., 2004. COSTA-continental slope stability : major aims and topics. Marine Geology, Vol. 213, No 1-4, 1–8.CrossRefGoogle Scholar
  22. Nadim, F., and Lacasse, S., 1999. Probabilistic slope stability evaluation. Geotechnical risk management, Geotechnical division, Hongkong Institution of Enginners, 179-186.Google Scholar
  23. Nadim, F., and Locat, J., 2005. Risk assessment for submarine slides. Proceedings of the international conference on landslide risk management, Vancouver, Canada, 31 May-3 June, 321–333.Google Scholar
  24. Nadim, F., Kvalstad, T.J., and Guttormsen, T., 2005. Quatification of risks associated with seabed instability at Ormen Lange. Marine and Petroleum Geology, 22, 311–318.CrossRefGoogle Scholar
  25. Plaxis, 2001. http://www.plaxis.nl.
  26. Rajashekhar, M.R., and Ellingwood, B.R. (1993). “A new look at the response surface approach for reliability analysis.” Struct. Safety, Amsterdam, 12, 205–220.CrossRefGoogle Scholar
  27. Rosenblueth, E. 1975. “Point Estimates for Probability Moments,” Proceedings of the National Academy of Science, USA, 72(10), 3812–3814.CrossRefGoogle Scholar
  28. Wong, F.S., 1985. Slope reliability and response surface method. Journal of Geotechnical Engineering, Vol. 111, No.1, 32–53.CrossRefGoogle Scholar
  29. Xu, B., and Low, B.K., 2006. Probability stability analyses of embankments based on finite element method. Journal of geotechnical and geoenviromental engineering, vol. 132, No.11, 1444–1454.CrossRefGoogle Scholar
  30. Yang, S.L., Kvalstad T.J., Solheim A., and Forsberg C.F., 2007. Slope stability at Northern Flank of Storegga Slide. Accepted by the international conference on offshoe and Polar engineering, July, Lisbon, Portugal.Google Scholar
  31. Zienkiewicz, O.C., Humpheson, C., and Lewis, R.W., 1975. “Associated and non-associated viscoplasticity and plasticity in soil mechanics.” Geotechnique, 25:4, 6.Google Scholar

Copyright information

© Springer 2007

Authors and Affiliations

  • S. Yang
    • 1
  • F. Nadim
    • 1
  • C. F. Forsberg
    • 1
  1. 1.International centre for GeohazardsNorwegian Geotechnical InstituteNorway

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