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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Format: | Article |
Language: | English |
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Sciendo
2022-12-01
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Series: | Civil and Environmental Engineering |
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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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format | Article |
id | doaj.art-423152315ddd4674b1a3e560daedf313 |
institution | Directory Open Access Journal |
issn | 2199-6512 |
language | English |
last_indexed | 2024-04-10T21:32:30Z |
publishDate | 2022-12-01 |
publisher | Sciendo |
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series | Civil and Environmental Engineering |
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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