Abstract
The study aims at comparing the results of different probabilistic methods such as the perturbation method, Spectral Stochastic Finite Element Method (SSFEM) and Monte Carlo Method. These methods are developed for a linear soil behavior. In this study, by assuming soil strength properties and Young modulus are random variables, a preliminary search of critical slip surface is established. One-dimensional random field is used to conduct a parametric study. The proposed probabilistic slope stability analysis is performed using a performance function formulated by the stochastic stress field mobilized along the slip surface. The results have shown that the Young modulus has no significant effect on the factor of safety. In addition, the studies have found that the perturbation method is valid than SSFEM to conduct the slope stability analysis. Moreover, SSFEM performed with high orders of expansion to reach the convergence of solution can lead to intractable calculations, while Monte Carlo method is too time consuming for a slope stability reliability analysis using modeling the spatial variability of soil properties by the random field's theory. Finally, the numerical results have shown that the correlation lengths of the soil strength properties have effect on the position of the critical sliding surface.