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Title: An analytical solution in probabilistic rock slope stability assessment based on random fields
Authors: Gravanis, Elias 
Pantelidis, Lysandros 
Griffiths, D. V. 
Major Field of Science: Engineering and Technology
Field Category: Environmental Engineering
Keywords: Rock slopes;Planar sliding;Probabilistic slope stability analysis;Analytical solution;Spatial correlation length;Spatial variability
Issue Date: Oct-2014
Source: International Journal of Rock Mechanics and Mining Sciences, 2014, vol. 71, pp. 9-24
Volume: 71
Start page: 9
End page: 24
Journal: International Journal of Rock Mechanics and Mining Sciences 
Abstract: An analytical solution for calculating the probability of failure of rock slopes against planar sliding is proposed. The method in based on the theory of random fields accounting for the influence of spatial variability on slope reliability. In this framework, both the cohesion and friction coefficient along a discontinuity are treated as Gaussian random fields which are fully described by their mean values View the MathML source, standard deviations View the MathML source, spatial correlation lengths View the MathML source, and the parameters View the MathML source which account for the cross-correlation between cohesion and coefficient of friction. As shown by the examples presented herein, the spatial correlation of shear strength can have an important influence on slope performance expressed by the probability of failure. This is a significant observation, since ignoring the influence of spatial correlation in design may lead to unconservative estimations of slope reliability.
ISSN: 13651609
DOI: 10.1016/j.ijrmms.2014.06.018
Rights: © Elsevier
Type: Article
Affiliation : Cyprus University of Technology 
University of Colorado 
Newcastle University 
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