PROBABILITY-BASED ANALYSIS OF SLOPE STABILITY
Keywords:Evolvable hardware, Fault-tolerant hardware, Memory synchronization channel, Partial reconfiguration, Self-healing hardware, Probability, slope stability, Monte Carlo simulation, Latin Hypercube, factor of safety. 1.0 Intro
AbstractThe aim of this paper is to present a probability analysis using the Monte Carlo simulation method of uncertainty (MCSM). The results of this method will be compared to all recognized method of slope stability such as Bishop simplified, Fellenuis, Janbu simplified and corrected, Spencer and Lowe-Karafiath which are in general in limit equilibrium. This study has been done by a normal frequency distribution relative for all the parameters taken into considerations. From the mean values and the standard deviations of the pore water pressure, cohesion and the internal angle of friction with the correlation relation between these parameters, a set of random values of pore water pressure, cohesion and internal angle of friction were generated by computing a Critical Probabilistic Slip Surface. The analysis of the obtained results indicates that the failure probability is affected by the standard deviation of the pore water pressure, cohesion, internal angle of friction and correlation coefficient. However, all methods of equilibrium limit are affecting the failure probability by taking into account one of these parameters following each case. Nevertheless, the probability of failure is not significantly affected by the standard deviation of the unit weight for all methods.
Chowdhury, R. N., and Xu, D. W.(1995). â€œGeotechnical system reliability of slopes.â€ Reliab.
Eng. Syst. Saf., 47, 141â€“151Tang et al.1976.
Christian, J. T., Ladd, C. C., and Baecher, G. B.(1994). â€œReliability applied to slope stability
analysis.â€ J. Geotech. Engrg., 120(12), 2180â€“2207.
Dâ€™Andrea R. A. and Sangrey D. A. (1982) Safety factors for probabilistic slope design. J
Geotech Eng, ASCE, 108(9):1108â€“1118, 1982.
El-Ramly, H., Morgenstern, N. R., and Cruden, D. M.(2002). â€œProbabilistic slope stability
analysis for practice.â€ Can. Geotech. J., 39, 665â€“ 683.
Griffiths, D. V., and Fenton, G. A.2004. â€œProbabilistic slope stability analysis by finite elements.â€
J. Geotech. Geoenviron. Eng., 130(5), 507â€“518.
Hassan, A. M. and Wolff, T. F. (1999). â€œSearch algorithm for minimum reliability index of earth
slopes.â€ J. Geotech. Geoenviron. Eng., 125 (4), 301â€“308.
Hutchinson, S. & Bandalos, D. (1997). A Guide to Monte Carlo Simulation Research for Applied
Researchers. Journal of Vocational Education Research, 22, 233-245.
Kulhawy, F. and Trautman, C.H. (1996), â€œEstimation of in situ test uncertainty,â€ in Uncertainty
in the Geologic Environment: From Theory to Practice, Proceeding of Uncertainty â€™96,
ASCE Geotechnical Special Publication No. 58.
Lacasse, S. and Nadim, F. (1996). â€œUncertainties in characterizing soil properties.â€ Uncertainty
in geologic environment: from theory to practice, Proc., Uncertainty â€™96, Geotechnical
Special Publication No. 58, C. D. Shackelford and P. P. Nelson, eds., Vol. 1, ASCE, New
Low, B. K. (2005). Reliability-based design applied to retaining walls. GÃ©otechnique, 55(1),63â€“
Low, B. K., and Tang, W. H. (1997). â€œEfficient reliability evaluation using spreadsheet.â€ J. of
Engrg. Mech., ASCE, New York, 123(7), 749-752.
Low, B. K., Gilbert, R. B., and Wright, S. G. (1998). â€œSlope reliability analysis using generalized
method of slices.â€ J. of Geotech. & Geoenvironmental Engrg.,