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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Main Authors: Milad Kheiry, Farhoud Kalateh
Format: Article
Language:fas
Published: Semnan University 2024-04-01
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.
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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