Influence of Soil Spatial Variability and Stochastic Ground-Motion on the Dynamic Behavior of a Slope


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by Tamara Al-Bittar, Ph.D. Student; University of Nantes, GeM, UMR CNRS 6183, Bd. de l'université, BP 152, 44603 Saint-Nazaire cedex, France, Tamara.Al-Bittar@univ-nantes.fr,
Dalia Youssef Abdel Massih, Assistant Professor; Notre Dame University, Louaize, Civil and Environmental Engineering, P.O. Box: 72 Zouk Mikael, Lebanon, dabdelmassih@ndu.edu.lb,
Abdul Hamid Soubra, (M.ASCE), Professor; University of Nantes, GeM, UMR CNRS 6183, Bd. de l'université, BP 152, 44603 Saint-Nazaire cedex, France, Abed.Soubra@univ-nantes.fr,
Fadi Hage Chehade, Professor; Modeling Center, PRASE, Doctoral School of Science and Technology, Beirut, Lebanese University, Lebanon, fchehade@ul.edu.lb,



Document Type: Proceeding Paper

Part of: GeoCongress 2012: State of the Art and Practice in Geotechnical Engineering

Abstract: A probabilistic dynamic approach is used for the slope stability analysis. In this approach, the effect of both the soil spatial variability and the variability of the Ground-Motion (GM) time history on the dynamic responses (amplification, permanent displacement) are studied and discussed. The soil shear modulus G is considered as an isotropic non-Gaussian random field. The simulation of random acceleration time histories based on a real target accelerogram is done using a fully nonstationary stochastic model in both the time and the frequency domains. The deterministic model is based on numerical simulations. An efficient uncertainty propagation methodology which builds up a sparse polynomial chaos expansion for the dynamic responses is used. The probabilistic numerical results have shown that: (i) the decrease in the autocorrelation distance of the shear modulus leads to a small variability of the dynamic responses; (ii) the randomness of the earthquake GM has a significant influence on the variability of the dynamic responses; (iii) the probabilistic mean values of the dynamic responses are more critical than the deterministic ones.

Subject Headings: Soil dynamics | Soil properties | Spatial variability | Ground motion | Stochastic processes | Dynamic response | Slopes | Shear modulus | Numerical models | Soil modulus | Probability | Dynamic analysis |

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