Effect of 2D spatial variability on slope reliability: A simplified FORM analysis

To meet the high demand for reliability based design of slopes, we present in this paper a simplified HLRF (Hasofer–Lind–Rackwitz–Fiessler) iterative algorithm for first-order reliability method (FORM). It is simply formulated in x-space and requires neither transformation of correlated random varia...

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Main Authors: Jian Ji, Chunshun Zhang, Yufeng Gao, Jayantha Kodikara
Format: Article
Language:English
Published: Elsevier 2018-11-01
Series:Geoscience Frontiers
Online Access:http://www.sciencedirect.com/science/article/pii/S1674987117301378
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author Jian Ji
Chunshun Zhang
Yufeng Gao
Jayantha Kodikara
author_facet Jian Ji
Chunshun Zhang
Yufeng Gao
Jayantha Kodikara
author_sort Jian Ji
collection DOAJ
description To meet the high demand for reliability based design of slopes, we present in this paper a simplified HLRF (Hasofer–Lind–Rackwitz–Fiessler) iterative algorithm for first-order reliability method (FORM). It is simply formulated in x-space and requires neither transformation of correlated random variables nor optimization tools. The solution can be easily improved by iteratively adjusting the step length. The algorithm is particularly useful to practicing engineers for geotechnical reliability analysis where standalone (deterministic) numerical packages are used. Based on the proposed algorithm and through direct perturbation analysis of random variables, we conducted a case study of earth slope reliability with complete consideration of soil uncertainty and spatial variability. Keywords: Slope stability, Spatial variability, Random field model, Probability of failure, HLRF algorithm, First-order reliability method (FORM)
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spelling doaj.art-4e19c375d08f4ed0bc6b27ecb33f063d2023-08-02T01:30:09ZengElsevierGeoscience Frontiers1674-98712018-11-019616311638Effect of 2D spatial variability on slope reliability: A simplified FORM analysisJian Ji0Chunshun Zhang1Yufeng Gao2Jayantha Kodikara3Key Lab of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, China; Department of Civil Engineering, Monash University, Clayton 3168, AustraliaDepartment of Civil Engineering, Monash University, Clayton 3168, Australia; Corresponding author.Key Lab of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, ChinaDepartment of Civil Engineering, Monash University, Clayton 3168, AustraliaTo meet the high demand for reliability based design of slopes, we present in this paper a simplified HLRF (Hasofer–Lind–Rackwitz–Fiessler) iterative algorithm for first-order reliability method (FORM). It is simply formulated in x-space and requires neither transformation of correlated random variables nor optimization tools. The solution can be easily improved by iteratively adjusting the step length. The algorithm is particularly useful to practicing engineers for geotechnical reliability analysis where standalone (deterministic) numerical packages are used. Based on the proposed algorithm and through direct perturbation analysis of random variables, we conducted a case study of earth slope reliability with complete consideration of soil uncertainty and spatial variability. Keywords: Slope stability, Spatial variability, Random field model, Probability of failure, HLRF algorithm, First-order reliability method (FORM)http://www.sciencedirect.com/science/article/pii/S1674987117301378
spellingShingle Jian Ji
Chunshun Zhang
Yufeng Gao
Jayantha Kodikara
Effect of 2D spatial variability on slope reliability: A simplified FORM analysis
Geoscience Frontiers
title Effect of 2D spatial variability on slope reliability: A simplified FORM analysis
title_full Effect of 2D spatial variability on slope reliability: A simplified FORM analysis
title_fullStr Effect of 2D spatial variability on slope reliability: A simplified FORM analysis
title_full_unstemmed Effect of 2D spatial variability on slope reliability: A simplified FORM analysis
title_short Effect of 2D spatial variability on slope reliability: A simplified FORM analysis
title_sort effect of 2d spatial variability on slope reliability a simplified form analysis
url http://www.sciencedirect.com/science/article/pii/S1674987117301378
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