PROBABILITY-BASED ANALYSIS OF SLOPE STABILITY

Authors

  • Djarir Yahiaoui Department of Civil Engineering, University of Batna, Algeria
  • A. Kadid A. Kadid Department of Civil Engineering, University of Batna, Algeria
  • Zendaoui Abdel Hakim Department of Civil Engineering, University of Batna, Algeria

DOI:

https://doi.org/10.11113/mjce.v28.16004

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

Abstract

The 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.

References

Chowdhury, R. N., and Xu, D. W.(1995). “Geotechnical system reliability of slopes.†Reliab.

Eng. Syst. Saf., 47, 141–151Tang et al.1976.

Christian, J. T., Ladd, C. C., and Baecher, G. B.(1994). “Reliability applied to slope stability

analysis.†J. Geotech. Engrg., 120(12), 2180–2207.

D’Andrea R. A. and Sangrey D. A. (1982) Safety factors for probabilistic slope design. J

Geotech Eng, ASCE, 108(9):1108–1118, 1982.

El-Ramly, H., Morgenstern, N. R., and Cruden, D. M.(2002). “Probabilistic slope stability

analysis for practice.†Can. Geotech. J., 39, 665– 683.

Griffiths, D. V., and Fenton, G. A.2004. “Probabilistic slope stability analysis by finite elements.â€

J. Geotech. Geoenviron. Eng., 130(5), 507–518.

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.

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), “Estimation of in situ test uncertainty,†in Uncertainty

in the Geologic Environment: From Theory to Practice, Proceeding of Uncertainty ’96,

ASCE Geotechnical Special Publication No. 58.

Lacasse, S. and Nadim, F. (1996). “Uncertainties in characterizing soil properties.†Uncertainty

in geologic environment: from theory to practice, Proc., Uncertainty ’96, Geotechnical

Special Publication No. 58, C. D. Shackelford and P. P. Nelson, eds., Vol. 1, ASCE, New

York, 49–75.

Low, B. K. (2005). Reliability-based design applied to retaining walls. Géotechnique, 55(1),63–

Low, B. K., and Tang, W. H. (1997). “Efficient reliability evaluation using spreadsheet.†J. of

Engrg. Mech., ASCE, New York, 123(7), 749-752.

Low, B. K., Gilbert, R. B., and Wright, S. G. (1998). “Slope reliability analysis using generalized

method of slices.†J. of Geotech. & Geoenvironmental Engrg.,

Downloads

Published

2018-07-18

Issue

Section

Articles

How to Cite

PROBABILITY-BASED ANALYSIS OF SLOPE STABILITY. (2018). Malaysian Journal of Civil Engineering, 28. https://doi.org/10.11113/mjce.v28.16004