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Probabilistic modelling of auto-correlation characteristics of heterogeneous slopes
Spatial variability of soil materials has long been recognised as an important factor influencing the reliability of geo-structures. This study stochastically investigates the influence of spatial variability of shear strength on the stability of heterogeneous slopes, focusing on the auto-correlation function, auto-correlation distance and cross-correlation between soil parameters. The finite element method is merged with the random field theory to probabilistically evaluate factor of safety and probability of failure via Monte-Carlo simulations. The simulation procedure is explained in detail with suggestions on improving efficiency of the Monte-Carlo process. A simple procedure to create cross-correlation between random variables, which allows direct comparison of the influence of each strength variable, is discussed. The results show that the auto-correlation distance and cross-correlation can significantly influence slope stability, while the choice of auto-correlation function only has a minor effect. An equation relating the probability of failure with the auto-correlation distance is suggested in light of the analyses performed in this work and other results from the literature.
Probabilistic modelling of auto-correlation characteristics of heterogeneous slopes
Spatial variability of soil materials has long been recognised as an important factor influencing the reliability of geo-structures. This study stochastically investigates the influence of spatial variability of shear strength on the stability of heterogeneous slopes, focusing on the auto-correlation function, auto-correlation distance and cross-correlation between soil parameters. The finite element method is merged with the random field theory to probabilistically evaluate factor of safety and probability of failure via Monte-Carlo simulations. The simulation procedure is explained in detail with suggestions on improving efficiency of the Monte-Carlo process. A simple procedure to create cross-correlation between random variables, which allows direct comparison of the influence of each strength variable, is discussed. The results show that the auto-correlation distance and cross-correlation can significantly influence slope stability, while the choice of auto-correlation function only has a minor effect. An equation relating the probability of failure with the auto-correlation distance is suggested in light of the analyses performed in this work and other results from the literature.
Probabilistic modelling of auto-correlation characteristics of heterogeneous slopes
Le, Thi Minh Hue (Autor:in) / Sánchez, Marcelo (Autor:in) / Gallipoli, Domenico (Autor:in) / Wheeler, Simon (Autor:in)
Geomechanics and Geoengineering ; 10 ; 95-108
03.04.2015
14 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Probabilistic modelling of auto-correlation characteristics of heterogeneous slopes
Online Contents | 2015
|The Effect of Auto-Correlation on the Probability of Failure of Slopes
British Library Conference Proceedings | 1992
|Probabilistic Analysis of Reinforced Soil Slopes
British Library Conference Proceedings | 1995
|Probabilistic stability analysis of earth slopes
Elsevier | 1979
|