Probabilistic assessment of passive earth pressures considering spatial variability of soil parameters and design factors

Abstract The stability design of soil structures, such as retaining walls, has traditionally relied on deterministic analyses that use averaged soil parameters. However, modern computational advances, particularly Monte Carlo simulations (MCs), have highlighted the limitations of this approach. Engi...

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Main Authors: Jim Shiau, Tan Nguyen, Thinh Pham-Tran-Hung, Jun Sugawara
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-87989-3
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author Jim Shiau
Tan Nguyen
Thinh Pham-Tran-Hung
Jun Sugawara
author_facet Jim Shiau
Tan Nguyen
Thinh Pham-Tran-Hung
Jun Sugawara
author_sort Jim Shiau
collection DOAJ
description Abstract The stability design of soil structures, such as retaining walls, has traditionally relied on deterministic analyses that use averaged soil parameters. However, modern computational advances, particularly Monte Carlo simulations (MCs), have highlighted the limitations of this approach. Engineers are now increasingly focused on understanding the probability of failure (PF) associated with specific safety factors. This study explores the impact of spatial variability in soil properties, specifically the friction angle and unit weight, on PF. By applying log-normal distributions and spatial correlation lengths, extensive MC simulations were combined with finite element limit analysis to establish relationships between safety factors and PF. This research makes several contributions to geotechnical engineering. It integrates MC simulations with finite element limit analysis to provide a statistically robust framework for evaluating PF in soil structures. The use of adaptive finite element meshes introduces new insights into failure mechanisms, addressing gaps in existing studies. Additionally, the study presents a set of parametric design charts that enable practitioners to estimate PF for specific safety factors effectively. These findings provide practical tools for design engineers, supporting better decision-making and increasing confidence in design outcomes.
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spelling doaj-art-6e821f882f4c440cb0aef22801c0c3a32025-02-09T12:31:28ZengNature PortfolioScientific Reports2045-23222025-02-0115112310.1038/s41598-025-87989-3Probabilistic assessment of passive earth pressures considering spatial variability of soil parameters and design factorsJim Shiau0Tan Nguyen1Thinh Pham-Tran-Hung2Jun Sugawara3School of Engineering, University of Southern QueenslandSmart Computing in Civil Engineering Research Group, Faculty of Civil Engineering, Ton Duc Thang UniversityFaculty of Civil Engineering, Ton Duc Thang UniversitySchool of Engineering, University of Southern QueenslandAbstract The stability design of soil structures, such as retaining walls, has traditionally relied on deterministic analyses that use averaged soil parameters. However, modern computational advances, particularly Monte Carlo simulations (MCs), have highlighted the limitations of this approach. Engineers are now increasingly focused on understanding the probability of failure (PF) associated with specific safety factors. This study explores the impact of spatial variability in soil properties, specifically the friction angle and unit weight, on PF. By applying log-normal distributions and spatial correlation lengths, extensive MC simulations were combined with finite element limit analysis to establish relationships between safety factors and PF. This research makes several contributions to geotechnical engineering. It integrates MC simulations with finite element limit analysis to provide a statistically robust framework for evaluating PF in soil structures. The use of adaptive finite element meshes introduces new insights into failure mechanisms, addressing gaps in existing studies. Additionally, the study presents a set of parametric design charts that enable practitioners to estimate PF for specific safety factors effectively. These findings provide practical tools for design engineers, supporting better decision-making and increasing confidence in design outcomes.https://doi.org/10.1038/s41598-025-87989-3Random fieldProbabilistic analysisLimit analysisEarth pressuresDesign charts
spellingShingle Jim Shiau
Tan Nguyen
Thinh Pham-Tran-Hung
Jun Sugawara
Probabilistic assessment of passive earth pressures considering spatial variability of soil parameters and design factors
Scientific Reports
Random field
Probabilistic analysis
Limit analysis
Earth pressures
Design charts
title Probabilistic assessment of passive earth pressures considering spatial variability of soil parameters and design factors
title_full Probabilistic assessment of passive earth pressures considering spatial variability of soil parameters and design factors
title_fullStr Probabilistic assessment of passive earth pressures considering spatial variability of soil parameters and design factors
title_full_unstemmed Probabilistic assessment of passive earth pressures considering spatial variability of soil parameters and design factors
title_short Probabilistic assessment of passive earth pressures considering spatial variability of soil parameters and design factors
title_sort probabilistic assessment of passive earth pressures considering spatial variability of soil parameters and design factors
topic Random field
Probabilistic analysis
Limit analysis
Earth pressures
Design charts
url https://doi.org/10.1038/s41598-025-87989-3
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