Probabilistic Assessment of Slope Stability That Considers the Spatial Variability of Soil Properties
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 136, Issue 7
Abstract
In this paper, a numerical procedure for probabilistic slope stability analysis is presented. This procedure extends the traditional limit equilibrium method of slices to a probabilistic approach that accounts for the uncertainties and spatial variation of the soil strength parameters. In this study, two-dimensional random fields were generated based on a Karhunen-Loève expansion in a fashion consistent with a specified marginal distribution function and an autocorrelation function. A Monte Carlo simulation was then used to determine the statistical response based on the generated random fields. This approach makes no assumption about the critical failure surface. Rather, the critical failure surface corresponding to the input random fields of soil properties is searched during the process of analysis. A series of analyses was performed to verify the application potential of the proposed method and to study the effects of uncertainty due to the spatial heterogeneity on the stability of slope. The results show that the proposed method can efficiently consider the various failure mechanisms caused by the spatial variability of soil property in the probabilistic slope stability assessment.
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References
Baecher, G. B., and Christian, J. T. (2003). Reliability and statistics in geotechnical engineering, Wiley, New York.
Bhattacharya, G., Jana, D., Ojha, S., and Chakraborty, S. (2003). “Direct search for minimum reliability index of earth slopes.” Comput. Geotech., 30(6), 455–462.
Cho, S. E. (2007). “Effects of spatial variability of soil properties on slope stability.” Eng. Geol. (Amsterdam), 92(3–4), 97–109.
Cho, S. E., and Park, H. C. (2009). “Effect of spatial variability of cross-correlated soil properties on bearing capacity of strip footing.” Int. J. Numer. Analyt. Meth. Geomech., 34(1), 1–26.
Chowdhury, R. N., and Xu, D. W. (1995). “Geotechnical system reliability of slopes.” Reliab. Eng. Syst. Saf., 47(3), 141–151.
Cornell, C. A. (1967). “Bounds on the reliability of structural systems.” J. Struct. Div., 93(1), 171–200.
El-Ramly, H., Morgenstern, N. R., and Cruden, D. M. (2002). “Probabilistic slope stability analysis for practice.” Can. Geotech. J., 39(3), 665–683.
El-Ramly, H., Morgenstern, N. R., and Cruden, D. M. (2003). “Probabilistic stability analysis of a tailings dyke on presheared clay-shale.” Can. Geotech. J., 40(1), 192–208.
Elkateb, T., Chalaturnyk, R., and Robertson, P. K. (2003). “An overview of soil heterogeneity: Quantification and implications on geotechnical field problems.” Can. Geotech. J., 40(1), 1–15.
Fenton, G. A., and Griffiths, D. V. (2003). “Bearing capacity prediction of spatially random soils.” Can. Geotech. J., 40(1), 54–65.
Ghanem, R. G., and Spanos, P. D. (1991). Stochastic finite element—A spectral approach, Springer, New York.
Ghiocel, D. M., and Ghanem, R. G. (2002). “Stochastic finite-element analysis of seismic soil-structure interaction.” J. Eng. Mech., 128(1), 66–77.
Griffiths, D. V., and Fenton, G. A. (2004). “Probabilistic slope stability analysis by finite elements.” J. Geotech. Geoenviron. Eng., 130(5), 507–518.
Griffiths, D. V., Huang, J., and Fenton, G. A. (2009). “Influence of spatial variability on slope reliability using 2-d random fields.” J. Geotech. Geoenviron. Eng., 135(10), 1367–1378.
Hassan, A. M., and Wolff, T. F. (1999). “Search algorithm for minimum reliability index of earth slopes.” J. Geotech. Geoenviron. Eng., 125(4), 301–308.
Hong, H. P., and Roh, G. (2008). “Reliability evaluation of earth slopes.” J. Geotech. Geoenviron. Eng., 134(12), 1700–1705.
Kim, J. Y., and Lee, S. R. (1997). “An improved search strategy for the critical slip surface using finite element stress fields.” Comput. Geotech., 21(4), 295–313.
Lacasse, S., and Nadim, F. (1996). “Uncertainties in characterizing soil properties.” GSP 58 uncertainty in the geologic environment, C. D. Shackleford, P. P. Nelson, and M. J. S. Roth, eds., ASCE, Reston, Va., 49–75.
Li, K. S., and Cheung, R. W. M. (2001). “Search algorithm for minimum reliability index of earth slopes (Discussion).” J. Geotech. Geoenviron. Eng., 127(2), 197–198.
Li, K. S., and Lumb, P. (1987). “Probabilistic design of slopes.” Can. Geotech. J., 24(4), 520–535.
Low, B. K., Gilbert, R. B., and Wright, S. G. (1998). “Slope reliability analysis using generalized method of slices.” J. Geotech. Geoenviron. Eng., 124(4), 350–362.
Lumb, P. (1970). “Safety factors and the probability distribution of soil strength.” Can. Geotech. J., 7(3), 225–242.
Sudret, B., and Der Kiureghian, A. (2002). “Comparison of finite element reliability methods.” Probab. Eng. Mech., 17(4), 337–348.
Vanmarcke, E. H. (1983). Random fields: Analysis and synthesis, MIT Press, Cambridge, Mass.
Vořechovský, M. (2008). “Simulation of simply cross correlated random fields by series expansion methods.” Struct. Safety, 30(4), 337–363.
Wolff, T. H. (1985). “Analysis and design of embankment dam slopes: A probabilistic approach.” Ph.D. thesis, Purdue University, Lafayette, Ind.
Yucemen, M. S., Tang, W. H., and Ang, A. H. S. (1973). A probabilistic study of safety and design of earth slopes, Structural Research Series Vol. 402, University of Illinois, Urbana, Ill.
Zolfaghari, A. R., Heath, A. C., and McCombie, P. F. (2005). “Simple genetic algorithm search for critical non-circular failure surface in slope stability analysis.” Comput. Geotech., 32(3), 139–152.
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© 2010 ASCE.
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Received: Jul 29, 2009
Accepted: Dec 20, 2009
Published online: Dec 28, 2009
Published in print: Jul 2010
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