Application of Monte Carlo Simulation (MCS) and Fuzzy Finite Element (FFEM) for Investigating the Uncertainty of Seepage in Homogeneous Earth Dams
In the analysis of saturated and semi-saturated soil media, the use of the finite element method results in more realistic analyses than deterministic methods due to the random nature of porous media properties. The purpose of this research is to investigate the impact of uncertainty in the predicti...
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Semnan University
2024-04-01
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Series: | مجله مدل سازی در مهندسی |
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Online Access: | https://modelling.semnan.ac.ir/article_8358_528b0079d44caaae72d066e38f8c84dc.pdf |
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author | Milad Kheiry Farhoud Kalateh |
author_facet | Milad Kheiry Farhoud Kalateh |
author_sort | Milad Kheiry |
collection | DOAJ |
description | In the analysis of saturated and semi-saturated soil media, the use of the finite element method results in more realistic analyses than deterministic methods due to the random nature of porous media properties. The purpose of this research is to investigate the impact of uncertainty in the prediction of seepage flow through earth dams using the Fuzzy Monte Carlo Simulation (FMCS) new hybrid algorithm, which is implemented with the help of the finite element method and monte carlo simulation. In this study, a computer program was used for Finite Element Analysis (FEA), which was definitively checked after validation with experimental results. Monte Carlo iteration loops were then used for probabilistic mode. The Fuzzy Finite Element Method (FFEM) was executed assuming the probability of the soil for four variables: soil permeability (Kx/Ky), water height ratio (Hd/Hu), horizontal width of downstream slope ratio to base width (Bd/B), and horizontal width of downstream slope ratio to horizontal upstream width (Bd/Bu). The results of this research show that the fuzzy membership function is linear-symmetric for Kx/Ky variables and linear-asymmetric for two geometric variables, Bd/B and Bd/Bu. Additionally, the membership function was extracted for Hd/Hu. |
format | Article |
id | doaj-art-0ebcc13c365e4c2c87fe1076b8780fea |
institution | Kabale University |
issn | 2008-4854 2783-2538 |
language | fas |
publishDate | 2024-04-01 |
publisher | Semnan University |
record_format | Article |
series | مجله مدل سازی در مهندسی |
spelling | doaj-art-0ebcc13c365e4c2c87fe1076b8780fea2025-01-15T08:14:58ZfasSemnan Universityمجله مدل سازی در مهندسی2008-48542783-25382024-04-0122769911410.22075/jme.2023.29331.23778358Application of Monte Carlo Simulation (MCS) and Fuzzy Finite Element (FFEM) for Investigating the Uncertainty of Seepage in Homogeneous Earth DamsMilad Kheiry0Farhoud Kalateh1PhD graduate, Factuly of Civil Engineering, University of Tabriz,Tabriz, Iran.Factuly of Civil Engineering, University of Tabriz, Tabriz, Iran.In the analysis of saturated and semi-saturated soil media, the use of the finite element method results in more realistic analyses than deterministic methods due to the random nature of porous media properties. The purpose of this research is to investigate the impact of uncertainty in the prediction of seepage flow through earth dams using the Fuzzy Monte Carlo Simulation (FMCS) new hybrid algorithm, which is implemented with the help of the finite element method and monte carlo simulation. In this study, a computer program was used for Finite Element Analysis (FEA), which was definitively checked after validation with experimental results. Monte Carlo iteration loops were then used for probabilistic mode. The Fuzzy Finite Element Method (FFEM) was executed assuming the probability of the soil for four variables: soil permeability (Kx/Ky), water height ratio (Hd/Hu), horizontal width of downstream slope ratio to base width (Bd/B), and horizontal width of downstream slope ratio to horizontal upstream width (Bd/Bu). The results of this research show that the fuzzy membership function is linear-symmetric for Kx/Ky variables and linear-asymmetric for two geometric variables, Bd/B and Bd/Bu. Additionally, the membership function was extracted for Hd/Hu.https://modelling.semnan.ac.ir/article_8358_528b0079d44caaae72d066e38f8c84dc.pdfporous mediumgalerkiin finite element method (gfem)simulation modelsoil hydraulic conductivityfortran |
spellingShingle | Milad Kheiry Farhoud Kalateh Application of Monte Carlo Simulation (MCS) and Fuzzy Finite Element (FFEM) for Investigating the Uncertainty of Seepage in Homogeneous Earth Dams مجله مدل سازی در مهندسی porous medium galerkiin finite element method (gfem) simulation model soil hydraulic conductivity fortran |
title | Application of Monte Carlo Simulation (MCS) and Fuzzy Finite Element (FFEM) for Investigating the Uncertainty of Seepage in Homogeneous Earth Dams |
title_full | Application of Monte Carlo Simulation (MCS) and Fuzzy Finite Element (FFEM) for Investigating the Uncertainty of Seepage in Homogeneous Earth Dams |
title_fullStr | Application of Monte Carlo Simulation (MCS) and Fuzzy Finite Element (FFEM) for Investigating the Uncertainty of Seepage in Homogeneous Earth Dams |
title_full_unstemmed | Application of Monte Carlo Simulation (MCS) and Fuzzy Finite Element (FFEM) for Investigating the Uncertainty of Seepage in Homogeneous Earth Dams |
title_short | Application of Monte Carlo Simulation (MCS) and Fuzzy Finite Element (FFEM) for Investigating the Uncertainty of Seepage in Homogeneous Earth Dams |
title_sort | application of monte carlo simulation mcs and fuzzy finite element ffem for investigating the uncertainty of seepage in homogeneous earth dams |
topic | porous medium galerkiin finite element method (gfem) simulation model soil hydraulic conductivity fortran |
url | https://modelling.semnan.ac.ir/article_8358_528b0079d44caaae72d066e38f8c84dc.pdf |
work_keys_str_mv | AT miladkheiry applicationofmontecarlosimulationmcsandfuzzyfiniteelementffemforinvestigatingtheuncertaintyofseepageinhomogeneousearthdams AT farhoudkalateh applicationofmontecarlosimulationmcsandfuzzyfiniteelementffemforinvestigatingtheuncertaintyofseepageinhomogeneousearthdams |