Abstract
In this work, the theory of random fields is used to account for the influence of spatial variability on slope reliability. Within this framework the friction coefficient along a discontinuity is treated as a Gaussian random field which is fully described by its mean value, standard deviation and spatial correlation length. The random field is simulated using the Local Average Subdivision (LAS) method. As shown by the examples presented herein, the spatial correlation of shear strength along a failure plane can have an important influence on slope performance, as expressed by the failure probability. This is a significant observation since ignoring the influence of spatial correlation in design may lead to non-conservative estimations of slope reliability. The planar mode of failure is considered.
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References
Fenton GA, Vanmarcke EH (1990) Simulation of random fields via local average subdivision. J Eng Mech 116(8):1733–1749
Fenton GA, Griffiths DV (2008) Risk assessment in geotechnical engineering. Wiley, Hoboken
Griffiths DV, Fenton GA (2007) Probabilistic methods in geotechnical engineering. Springer, New York
Griffiths D, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenvironmental Eng 130(5):507–518
Pantelidis L (2010) An alternative rock mass classification system for rock slopes. Bull Eng Geol Environ 69(1):29–39
Acknowledgments
The authors wish to acknowledge the support of Cyprus University of Technology Grant No EΧ-20081.
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Pantelidis, L., Gravanis, E., Griffiths, D.V. (2015). Influence of Spatial Variability on Rock Slope Reliability Using 1-D Random Fields. In: Lollino, G., et al. Engineering Geology for Society and Territory - Volume 2. Springer, Cham. https://doi.org/10.1007/978-3-319-09057-3_216
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DOI: https://doi.org/10.1007/978-3-319-09057-3_216
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