Probabilistic Analysis of Strip Footings Using the Subset Simulation Approach and the Influence of Spatial Variability of Two Clay Layers

This article studies the probabilistic analysis at the ultimate limit state (ULS) of a strip footing resting on a purely cohesive soil composed of two layers with spatial variability of the upper or lower layer and treats the simultaneous effect of the variability of the two layers on the probabilit...

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Main Authors: Thajeel Jawad K., Thahab Amell Jabbar
Format: Article
Language:English
Published: Sciendo 2022-12-01
Series:Civil and Environmental Engineering
Subjects:
Online Access:https://doi.org/10.2478/cee-2022-0064
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author Thajeel Jawad K.
Thahab Amell Jabbar
author_facet Thajeel Jawad K.
Thahab Amell Jabbar
author_sort Thajeel Jawad K.
collection DOAJ
description This article studies the probabilistic analysis at the ultimate limit state (ULS) of a strip footing resting on a purely cohesive soil composed of two layers with spatial variability of the upper or lower layer and treats the simultaneous effect of the variability of the two layers on the probability of failure Pf value using the subset simulation approach. The results are examined by comparing the Pf values obtained with the Pf value corresponding to the reference case of two homogenous clay layers. In general, the subset simulation approach is used in cases of uncertain parameters modeled by random variables. But in this paper, it is employed with uncertain parameters modeled by random fields because the spatial variability of soil properties strongly affects the behavior of geotechnical structures and causes a significant change in the variability of their responses. The soil cohesion parameter is modelled as a non-Gaussian (log-normal) anisotropic random field using a square exponential autocorrelation function by the optimal linear expansion estimation (EOLE) and the deterministic model is based on numerical simulations using the finite difference software FLAC3D.
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spelling doaj.art-423152315ddd4674b1a3e560daedf3132023-01-19T12:54:42ZengSciendoCivil and Environmental Engineering2199-65122022-12-0118269570610.2478/cee-2022-0064Probabilistic Analysis of Strip Footings Using the Subset Simulation Approach and the Influence of Spatial Variability of Two Clay LayersThajeel Jawad K.0Thahab Amell Jabbar1Department of Civil Engineering, College of Engineering, University of Thi-Qar, Thi-Qar, 64001, Iraq.Department of Civil Engineering, College of Engineering, University of Thi-Qar, Thi-Qar, 64001, Iraq.This article studies the probabilistic analysis at the ultimate limit state (ULS) of a strip footing resting on a purely cohesive soil composed of two layers with spatial variability of the upper or lower layer and treats the simultaneous effect of the variability of the two layers on the probability of failure Pf value using the subset simulation approach. The results are examined by comparing the Pf values obtained with the Pf value corresponding to the reference case of two homogenous clay layers. In general, the subset simulation approach is used in cases of uncertain parameters modeled by random variables. But in this paper, it is employed with uncertain parameters modeled by random fields because the spatial variability of soil properties strongly affects the behavior of geotechnical structures and causes a significant change in the variability of their responses. The soil cohesion parameter is modelled as a non-Gaussian (log-normal) anisotropic random field using a square exponential autocorrelation function by the optimal linear expansion estimation (EOLE) and the deterministic model is based on numerical simulations using the finite difference software FLAC3D.https://doi.org/10.2478/cee-2022-0064stripifootingtwo-layerfailure.probabilityspatial.variabilitysubsetisimulation
spellingShingle Thajeel Jawad K.
Thahab Amell Jabbar
Probabilistic Analysis of Strip Footings Using the Subset Simulation Approach and the Influence of Spatial Variability of Two Clay Layers
Civil and Environmental Engineering
stripifooting
two-layer
failure.probability
spatial.variability
subsetisimulation
title Probabilistic Analysis of Strip Footings Using the Subset Simulation Approach and the Influence of Spatial Variability of Two Clay Layers
title_full Probabilistic Analysis of Strip Footings Using the Subset Simulation Approach and the Influence of Spatial Variability of Two Clay Layers
title_fullStr Probabilistic Analysis of Strip Footings Using the Subset Simulation Approach and the Influence of Spatial Variability of Two Clay Layers
title_full_unstemmed Probabilistic Analysis of Strip Footings Using the Subset Simulation Approach and the Influence of Spatial Variability of Two Clay Layers
title_short Probabilistic Analysis of Strip Footings Using the Subset Simulation Approach and the Influence of Spatial Variability of Two Clay Layers
title_sort probabilistic analysis of strip footings using the subset simulation approach and the influence of spatial variability of two clay layers
topic stripifooting
two-layer
failure.probability
spatial.variability
subsetisimulation
url https://doi.org/10.2478/cee-2022-0064
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