A new rapid approach in assessing slope stability beneath a random field

Abstract

Slope stability of soil (Zhu <i>et al</i>.²⁰method used) has been studied under a random field. Spatial variability of soil’s proprieties (random variables (RV) is decomposed in term of deterministic trend and the random fluctuations of short duration of soil round this deterministic trend. Spread of variation of these fluctuations from one point to another in the soil is a very important parameter for describing the natural variability of soil's proprieties. In this paper, to quantify tendency value and dispersion of safety factors (FS) in function of trend and dispersion of RV, one uses Point Estimated Method (PEM) validated by Monte Carlo Method (MCM). It is known that the MCM has a prohibitive machine time compared to PEM, where the advantage to use this last one. Unfortunately, the PEM don’t take explicitly the fluctuations of RV into account. Therefore, one proposes to incorporate it in the PEM.