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Indian Geotechnical Journal

, Volume 49, Issue 6, pp 698–707 | Cite as

Reliability-Based Stability Assessment of Natural Slopes

  • Vikas Pratap SinghEmail author
Technical Note
  • 136 Downloads

Abstract

Slope failures are catastrophic in nature, resulting in widespread loss of lives and infrastructure. Consequently, stability analysis of slopes has gathered considerable attention by the research community across the globe. In practice, limit equilibrium approach forms the underlying principle for majority of the conventional slope stability analysis methods. One of the major limitations of the limit equilibrium methods is that they fail to account for inherent variability of in situ soil and its influence on the assessment of slope stability. As a contribution to this important aspect, the current study presents a reliability-based slope stability analysis of a natural slope of an infinite extent. The slope is analyzed in the following four states of the natural slope, namely, dry state, fully submerged state, with steady seepage, and under seismic loading. The reliability analysis is performed using Hasofer–Lind first-order reliability method. The in situ soil properties considered as variables include in situ soil cohesion, angle of internal friction, and unit weight. The analyses results are presented with respect to different levels of in situ soil variability, slope angles, depths of potential failure plane, and magnitude (and its variability) of seismic loading. Evidently, the study provided a better insight and different perspective into the stability analysis of infinite slopes.

Keywords

Infinite slope Slope stability Pseudo-static method Soil variability Reliability analysis 

Notes

Acknowledgements

Author expresses his sincere thanks to the reviewer(s) for constructive criticism and insightful review that were instrumental in improving the quality of work presented in the study.

References

  1. 1.
    Vasudevan N, Ramanathan K (2016) Geological factors contributing to landslides: case studies of a few landslides in different regions of India. In: Proceedings of the 3rd international conference on geological, geographical, aerospace and earth science, JakartaCrossRefGoogle Scholar
  2. 2.
    Sarkar S, Kanungo DP, Mehrotra GS (1995) Landslide hazard zonation: a case study in Garhwal Himalaya India. Mt Res Dev 15(4):301–309CrossRefGoogle Scholar
  3. 3.
    Dey B, Singh RB (2006) Natural hazards and disaster management. CBSE, DelhiGoogle Scholar
  4. 4.
    WDR (2015) World disasters report: focus on local actors, the key to humanitarian effectiveness. International Federation of Red Cross and Red Crescent Societies, GenevaGoogle Scholar
  5. 5.
    Doglioni A, Galeandro A, Simeone V (2013) Lateral strength and critical depth in infinite slope stability analysis. Int J Numer Anal Methods Geomech 38(1):1–19CrossRefGoogle Scholar
  6. 6.
    Duncan JM, Wright SG, Brandon TL (2014) Soil strength and slope stability. Wiley, New JerseyGoogle Scholar
  7. 7.
    Phoon KK, Kulhawy FH (1999) Characterization of geotechnical variability. Can Geotech J 36(4):612–624CrossRefGoogle Scholar
  8. 8.
    Phoon KK, Kulhawy FH (1999) Evaluation of geotechnical property variability. Can Geotech J 36(4):625–639CrossRefGoogle Scholar
  9. 9.
    Duncan JM (2000) Factors of safety and reliability in geotechnical engineering. J Geotech Geoenviron Eng 126(4):307–316CrossRefGoogle Scholar
  10. 10.
    Alonso EE (1976) Risk analysis of slopes and its application to slopes in Canadian sensitive clays. Geotechnique 26(3):453–472CrossRefGoogle Scholar
  11. 11.
    Vanmarcke EH (1977) Reliability of earth slopes. J Geotech Eng 103(GT11):1247–1265Google Scholar
  12. 12.
    Chowdhury RN (1984) Recent development in landslide studies: probability methods state-of-the-art report. In: Proceedings of the 4th international symposium on landslides, TorontoGoogle Scholar
  13. 13.
    Christian JT, Ladd CC, Baecher GB (1994) Reliability applied to slope stability analysis. J Geotech Eng 120(12):2180–2207CrossRefGoogle Scholar
  14. 14.
    Low BK, Lacasse S, Nadim F (2007) Slope reliability analysis accounting for spatial variation. Georisk 1(4):177–189Google Scholar
  15. 15.
    Griffiths DV, Huang J, Fenton GA (2009) Influence of spatial variability on slope reliability using 2-D random fields. J Geotech Geoenviron Eng 135(10):1367–1378CrossRefGoogle Scholar
  16. 16.
    Jha SK (2011) Reliability analysis of shallow landslides under seismic loading. Ind Geotech J41(3):131–142Google Scholar
  17. 17.
    Griffiths DV, Huang J, Fenton GA (2011) Probabilistic infinite slope analysis. Comput Geotech 38(4):577–584CrossRefGoogle Scholar
  18. 18.
    Joharia A, Javadi AA (2012) Reliability assessment of infinite slope stability using the jointly distributed random variables method. Sci Iran 19(3):423–429CrossRefGoogle Scholar
  19. 19.
    Lari S, Frattini P, Crosta GB (2014) A probabilistic approach for landslide hazard analysis. Eng Geol 182:3–14CrossRefGoogle Scholar
  20. 20.
    Tietje O, Fitze P, Schneider HR (2014) Slope stability analysis based on auto correlated shear strength parameters. Geotech Geol Eng 32(6):1477–1483CrossRefGoogle Scholar
  21. 21.
    Lombardi M, Cardarilli M, Raspa G (2017) Spatial variability analysis of soil strength to slope stability assessment. Geomech Eng 12(3):483–503CrossRefGoogle Scholar
  22. 22.
    Xu J, Ren Q, Shen Z (2017) Sensitivity analysis of the influencing factors of slope stability based on LS-SVM. Geomech Eng 13(3):447–458Google Scholar
  23. 23.
    Kumar R, Samui P, Kumari S (2017) Reliability analysis of infinite slope using metamodels. Geotech Geol Eng 35(3):1221–1230CrossRefGoogle Scholar
  24. 24.
    Hasofer AM, Lind NC (1974) Exact and invariant second moment code format. J Eng Mech 100(1):111–121Google Scholar
  25. 25.
    Low BK (1997) Reliability analysis of rock wedges. J Geotech Geoenviron Eng 123(6):498–505CrossRefGoogle Scholar
  26. 26.
    Low BK, Tang WH (1997) Efficient reliability evaluation using spreadsheet. J Eng Mech 123(7):749–752CrossRefGoogle Scholar
  27. 27.
    Low BK, Tang WH (1997) Reliability analysis of reinforced embankments on soft ground. Can Geotech J 34(5):672–685CrossRefGoogle Scholar
  28. 28.
    Low BK, Tang WH (2004) Reliability analysis using object-oriented constrained optimization. Struct Saf 26(01):69–89CrossRefGoogle Scholar
  29. 29.
    Low BK (2005) Reliability-based design applied to retaining walls. Geotechnique 55(1):63–75CrossRefGoogle Scholar
  30. 30.
    Kramer SL (1996) Geotechnical earthquake engineering. Prentice Hall, SingaporeGoogle Scholar
  31. 31.
    Chowdhury RN, Xu DW (1992) Reliability index for slope stability assessment—two methods compared. Reliab Eng Syst Saf 37(2):99–108CrossRefGoogle Scholar
  32. 32.
    Hassan AM, Wolff TF (2000) Effect of deterministic and probabilistic models on slope reliability index.GSP No. 101, Geo-Denver 2000 Denver, ColoradoGoogle Scholar
  33. 33.
    Hata Y, Ichii K, Tsuchida T, Kano S, Yamashita N (2008) A practical method for identifying parameters in the seismic design of embankments. Georisk 2(1):28–40Google Scholar
  34. 34.
    Ji J, Liao HJ (2014) Sensitivity-based reliability analysis of earth slopes using finite element method. Geomech Eng 6(6):545–560CrossRefGoogle Scholar
  35. 35.
    Phoon KK (2004) Towards reliability-based design for geotechnical engineering. Special lecture, Korean Geotechnical Society, SeoulGoogle Scholar
  36. 36.
    Lambe TW, Whitman RV (1979) Soil mechanics. Wiley, New YorkGoogle Scholar
  37. 37.
    Sivakumar Babu GL, Srivastava A (2007) Reliability analysis of allowable pressure on shallow foundation using response surface method. Comput Geotech 34(3):187–194CrossRefGoogle Scholar
  38. 38.
    Sivakumar Babu GL, Singh VP (2009) Reliability analysis of soil nail walls. Georisk 3(1):44–54Google Scholar
  39. 39.
    Javankhoshdel S, Bathrust RJ (2016) Influence of cross correlation between soil parameters on probability of failure of simple cohesive and c-ϕ slopes. Can Geotech J53(5):839–853CrossRefGoogle Scholar
  40. 40.
    Bray JD, Travasarou T (2009) Pseudostatic coefficient for use in simplified seismic slope stability evaluation. J Geotech Geoenviron Eng 135(9):1336–1340CrossRefGoogle Scholar
  41. 41.
    Johari A, Khodaparast AR (2015) Analytical stochastic analysis of seismic stability of infinite slope. Soil Dyn Earthq Eng 79:17–21CrossRefGoogle Scholar
  42. 42.
    IS1893 Part-1 (2002) Criteria for earthquake resistant design of structures. Bureau of Indian Standards, New DelhiGoogle Scholar
  43. 43.
    Na UJ, Chaudhuri SR, Shinozuka M (2008) Probabilistic assessment for seismic performance of port structures. Soil Dyn Earthq Eng 28(2):147–158CrossRefGoogle Scholar

Copyright information

© Indian Geotechnical Society 2019

Authors and Affiliations

  1. 1.Department of Civil EngineeringNational Institute of Technology UttarakhandSrinagar (Garhwal)India

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