Yıl 2018, Cilt 22, Sayı 5, Sayfalar 1458 - 1465 2018-10-01

Probabilistic Slope Stability Analysis: A Case Study

Nejan Huvaj [1] , Emir Ahmet Oğuz [2]

39 131

Probabilistic slope stability analyses are becoming more and more popular to evaluate the safety level of slopes and the associated risk and reliability, especially in the recent years. Probabilistic approach can take into account the uncertainties and natural variability in material properties, as well as in environmental factors, by using various statistical distribution fuctions (such as normal, lognormal etc.) for random variables. It is already noted by various researchers that, a slope with a deterministic factor of safety larger than 1.00 using average values of soil parameters may have a significant level of probability of failure, if the material properties are unknown, or contain significant uncertainty/variability. In this study, a well-documented landslide case study is used to demonstrate the importance of probabilistic approach in slope stability; to investigate the effects of considering variabiliy in material properties; and to compare deterministic and probabilistic slope stability analyses results. Deterministic limit eqilibrium, probabilistic limit equilibrium and probabilistic finite element analyses are conducted for Lodalen landslide in Oslo, Norway and the results are compared with each other. The factor of safety, the probability of failure and the most critical failure surface are investigated with and without statistical cross-correlation of soil’s shear strength parameters. The results of this study can provide further insights into the comparison of deterministic and probabilistic approaches in slope safety.

slope stability, probabilistic, limit equilibrium, probability of failure
  • [1] R. A. Sevaldson, “The slide in Lodalen, October 6th, 1954”, Geotechnique, vol. 6, no.4, pp. 167-182, 1956.
  • [2] H. El-Ramly, N.R. Morgenstern, and D.M. Cruden, “Lodalen slide: a probabilistic assessment”, Canadian Geotechnical Journal, vol. 43, no.9, pp. 956-968, 2006.
  • [3] G. Bhattacharya, D. Jana, S. Ojha and S. Chakraborty “Direct search for minimum reliability of earth slopes.” Computers and Geotechnics, Vol. 30, Issue 6, pp. 455-462, 2003.
  • [4] H. El-Ramly, N. R. Morgenstern, D. M. Cruden, “Probabilistic assessment of a cut slope in residual soil”, Geotechnique, vol. 55, pp.77-84, 2005.
  • [5] R. E. Hammah, T. E. Yacoub and J. H. Curran, “Probabilistic Slope Analysis with the Finite Element Method”, Asheville 2009, North Carolina, U.S.A., 2009.
  • [6] S. E. Cho, “Probabilistic stability analyses of slopes using the ANN-based response surface.” Computers and Geotechnics, Vol. 36, No. 5, pp. 787-797, 2009.
  • [7] B. Akbas and N. Huvaj, “Probabilistic Slope Stability Analyses Using Limit Equilibrium and Finite Element Methods”, Proc. 5th International Conference on Geotechnical Safety and Risk, Eds. Schweckendiek et al., Rotterdam, the Netherlands, 2015.
  • [8] S. Javankhoshdel, S. and R. J. Bathurst, "Deterministic and probabilistic failure analysis of simple geosynthetic reinforced soil slopes." Geosynthetics International, v. 24(1), 14-29, 2016.
  • [9] E. A. Oguz, Y. Yalcin, and N. Huvaj, “Probabilistic Slope Stability Analyses: Effects of the Coefficient of Variation and the Cross-Correlation of Shear Strength Parameters”, Proc. of Geotechnical Frontiers Conference, ASCE GeoInstitute, 12-15 March 2017, Orlando, Florida, 2017.
  • [10] P. Lumb, “Safety factors and the probability distribution of soil strength.” Canadian Geotechnical Journal, 7(3), 225–242, 1970.
  • [11] T. H. Wolff, “Analysis and design of embankment dam slopes: A probabilistic approach”, Ph.D. thesis, Purdue University, Lafayette, Ind. 1985.
  • [12] E. Spencer, “A method of analyses of the stability of embankment assuming inter-slice forces”, Geotechnique, vol. 17, pp. 11-26, 1967.
  • [13] S. E. Cho, “Probabilistic Assessment of Slope Stability That Considers the Spatial Variability of Soil Properties.” Journal of Geotechnical and Geoenvironmental Engineering, Vol. 136, Issue 7, pp. 975-984, 2010.
  • [14] T. M. H. Le, M. Sanchez, D. Gallipoli and S. Wheeler, “Probabilistic modelling of autocorrelation characteristics of heterogeneous slopes.” Geomechanics and Geoengineering, Vol. 10, Issue 2, pp. 95-108, 2014.
  • [15] D. V. Griffiths and G. A. Fenton, “Probabilistic Slope Stability Analysis by Finite Elements.” Journal of Geotechnical and Geoenvironmental Engineering, Vol. 130, Issue 5, pp. 507-518, 2004.
  • [16] M. Tabarroki, F. Ahmad, R. Banaki, S. Jha and J. Ching, “Determining the factors of safety of spatially variable slopes modeled by random fields.” Journal of Geotechnical and Geoenvironmental Engineering, Vol. 139, Issue 12, pp. 2082-2095, 2013.
  • [17] S. H. Jiang, D. Q. Li, Z. J. Cao, C. B. Zhou and K. K. Phoon, “Efficient System Reliability Analysis of Slope Stability in Spatially Variable Soils Using Monte Carlo Simulation” Journal of Geotechnical and Geoenvironmental Engineering, Vol. 141, Issue 2, 04014096, 2014.
Birincil Dil en
Konular İnşaat Mühendisliği
Yayımlanma Tarihi October 2018
Dergi Bölümü Araştırma Makalesi
Yazarlar

Orcid: 0000-0002-0909-1135
Yazar: Nejan Huvaj (Sorumlu Yazar)
Kurum: ORTA DOĞU TEKNİK ÜNİVERSİTESİ
Ülke: Turkey


Orcid: 0000-0002-1158-1926
Yazar: Emir Ahmet Oğuz
Kurum: ORTA DOĞU TEKNİK ÜNİVERSİTESİ

Bibtex @araştırma makalesi { saufenbilder430032, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {Sakarya Üniversitesi}, year = {2018}, volume = {22}, pages = {1458 - 1465}, doi = {10.16984/saufenbilder.430032}, title = {Probabilistic Slope Stability Analysis: A Case Study}, key = {cite}, author = {Huvaj, Nejan and Oğuz, Emir Ahmet} }
APA Huvaj, N , Oğuz, E . (2018). Probabilistic Slope Stability Analysis: A Case Study. Sakarya University Journal of Science, 22 (5), 1458-1465. DOI: 10.16984/saufenbilder.430032
MLA Huvaj, N , Oğuz, E . "Probabilistic Slope Stability Analysis: A Case Study". Sakarya University Journal of Science 22 (2018): 1458-1465 <http://www.saujs.sakarya.edu.tr/issue/31265/430032>
Chicago Huvaj, N , Oğuz, E . "Probabilistic Slope Stability Analysis: A Case Study". Sakarya University Journal of Science 22 (2018): 1458-1465
RIS TY - JOUR T1 - Probabilistic Slope Stability Analysis: A Case Study AU - Nejan Huvaj , Emir Ahmet Oğuz Y1 - 2018 PY - 2018 N1 - doi: 10.16984/saufenbilder.430032 DO - 10.16984/saufenbilder.430032 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1458 EP - 1465 VL - 22 IS - 5 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.430032 UR - http://dx.doi.org/10.16984/saufenbilder.430032 Y2 - 2018 ER -
EndNote %0 Sakarya University Journal of Science Probabilistic Slope Stability Analysis: A Case Study %A Nejan Huvaj , Emir Ahmet Oğuz %T Probabilistic Slope Stability Analysis: A Case Study %D 2018 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 22 %N 5 %R doi: 10.16984/saufenbilder.430032 %U 10.16984/saufenbilder.430032
ISNAD Huvaj, Nejan , Oğuz, Emir Ahmet . "Probabilistic Slope Stability Analysis: A Case Study". Sakarya University Journal of Science 22 / 5 (Ekim 2018): 1458-1465. http://dx.doi.org/10.16984/saufenbilder.430032