ملخص: The dispersion observed in soil data comes both from the spatial variability which greatly in.uences the behavior oflarge structures and from errors in testing. Thus, the geotechnical engineering deals with uncertainties for which deterministic approaches are not suitable. The resort to probabilistic techniques, enables modeling uncertainties by analyzing their dispersion e.ect on the global behavior ofthe structure. The scope of this paper is analyzing settlement and di.erential settlement variability ofa pair off oundations on random heterogeneous medium. The random soil properties ofinterest are the elastic modulus, and the Poisson ratio. The elastic modulus is modeled as a spatially random .eld by adopting the lognormal distribution, which enables analyzing its large variability. Because soil Poisson ratio is bounded in practice between two extreme values, its random .eld is obtained by using the Beta distribution. In this study, one proposes for the Beta .eld determination, a mapping technique on the probability distribution function diagram, by solving a non-linear equation. However, the mean and variance are unchanged through the mapping operation. Because the soil Poisson ratio is a positive parameter, one prefers to perform the mapping operation with the probability function of the lognormal distribution. Also, the proposed technique can be used for other bounded soil properties such as the porosity. In this paper, settlement and di.erential settlement statistics prediction are carried out using Monte Carlo simulations combined with deterministic .nite element method (DFEM). A performed parametric study shows the following: (i) as the variability of the elastic modulus increases as settlement and di.erential settlement statistics are important, also, settlement statistics decreases as the Poisson ratio variability increases, and di.erential settlement statistics do not seem be a.ected by its

لغة: إنجليزية