Influence of spatial variability on rock slope reliability using 1-D random fields

Lysandros Pantelidis; Elias Gravanis; D. V. Griffiths

doi:10.1007/978-3-319-09057-3_216

Influence of spatial variability on rock slope reliability using 1-D random fields

Lysandros Pantelidis, Elias Gravanis, D. V. Griffiths

Department of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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. .

Original language	English
Title of host publication	Engineering Geology for Society and Territory - Volume 2
Subtitle of host publication	Landslide Processes
Publisher	Springer International Publishing
Pages	1235-1238
Number of pages	4
ISBN (Electronic)	9783319090573
ISBN (Print)	9783319090566
DOIs	https://doi.org/10.1007/978-3-319-09057-3_216
Publication status	Published - 1 Jan 2015

Keywords

Local Average Subdivision
Random Fields
Rock Slope
Slope Reliability
Spatial Variability

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10.1007/978-3-319-09057-3_216

Cite this

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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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N2 - 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. .

AB - 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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ER -

Influence of spatial variability on rock slope reliability using 1-D random fields

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