Precise forecasting of scour depth downstream of flip bucket spillway through data-driven models

Flip-bucket spillways are utilized in hydraulic engineering to diminish the kinetic energy of flowing water by redirecting the flow jet into the air. In the downstream stailing basin with low tail-water, sediment particles movement results in scour hole formation, posing a threat to spillway stabili...

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Main Authors: Mehdi Fuladipanah, H Md Azamathulla, Kiran Tota-Maharaj, Vishwanadham Mandala, Aaron Chadee
Format: Article
Language:English
Published: Elsevier 2023-12-01
Series:Results in Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590123023007314
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author Mehdi Fuladipanah
H Md Azamathulla
Kiran Tota-Maharaj
Vishwanadham Mandala
Aaron Chadee
author_facet Mehdi Fuladipanah
H Md Azamathulla
Kiran Tota-Maharaj
Vishwanadham Mandala
Aaron Chadee
author_sort Mehdi Fuladipanah
collection DOAJ
description Flip-bucket spillways are utilized in hydraulic engineering to diminish the kinetic energy of flowing water by redirecting the flow jet into the air. In the downstream stailing basin with low tail-water, sediment particles movement results in scour hole formation, posing a threat to spillway stability. The accurate prediction of scour hole depth is a crucial area of the present research work. This study endeavors to employ four data-driven models (DDMs), namely Support Vector Machine (SVM), Gene Expression Programming (GEP), Multilayer Perceptron (MLP), and Multivariate Adaptive Regression Splines (MARS), in combination with five selected empirical equations. The objective is to accurately predict scour depth utilizing field-collected data from site number 84. Relative scour depth, dsH1, was simulated based on the readily extracted parameter i.e. Froude number, Fr=qgH13. The evaluation of model performance was conducted using fundamental metrics, including root mean square error (RMSE), coefficient of determination (R2), mean average error (MAE), and the maximum value of the developed discrepancy ratio (DDRmax). Among the DDMs, the MARS model demonstrated superior performance in both the training and testing phases. In the training phase, it yielded metrics (RMSE = 0.08665, MAE = 0.05714, R2 = 0.99169, DDRmax = 4.519), and in the testing phase, it produced metrics (RMSE = 0.0252, MAE = 0.0170, R2 = 0.09933, DDRmax = 9.144). This exceptional performance of the MARS model surpassed the initially selected (Wu, 1973) [1] experimental model, which exhibited metrics (RMSE = 0.39667, MAE = 0.17463, R2 = 0.96172, DDR = 1.428). The evaluation indices conclusively establish the MARS method's absolute superiority over the experimental approach proposed by Wu (1973) [1].
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spelling doaj.art-d2f431e2017a46f9936af8cc8f3476442023-12-20T07:36:22ZengElsevierResults in Engineering2590-12302023-12-0120101604Precise forecasting of scour depth downstream of flip bucket spillway through data-driven modelsMehdi Fuladipanah0H Md Azamathulla1Kiran Tota-Maharaj2Vishwanadham Mandala3Aaron Chadee4Department of Civil Engineering, Ramhormoz Branch, Islamic Azad University, Ramhormoz, Iran; Corresponding author.Civil Engineering and Environmental Engineering, The University of the West Indies, St. Augustine Campus, TrinidadDepartment of Civil Engineering, School of Infrastructure & Sustainable Engineering, College of Engineering and Physical Sciences, Aston University, Birmingham, Aston Triangle, Birmingham, UKEnterprise Architect, Indiana University, Bloomington, IN, US.MS in Data Science, IU Bloomington, USACivil and Environmental Engineering, University of the West Indies, St Augustine Campus, TrinidadFlip-bucket spillways are utilized in hydraulic engineering to diminish the kinetic energy of flowing water by redirecting the flow jet into the air. In the downstream stailing basin with low tail-water, sediment particles movement results in scour hole formation, posing a threat to spillway stability. The accurate prediction of scour hole depth is a crucial area of the present research work. This study endeavors to employ four data-driven models (DDMs), namely Support Vector Machine (SVM), Gene Expression Programming (GEP), Multilayer Perceptron (MLP), and Multivariate Adaptive Regression Splines (MARS), in combination with five selected empirical equations. The objective is to accurately predict scour depth utilizing field-collected data from site number 84. Relative scour depth, dsH1, was simulated based on the readily extracted parameter i.e. Froude number, Fr=qgH13. The evaluation of model performance was conducted using fundamental metrics, including root mean square error (RMSE), coefficient of determination (R2), mean average error (MAE), and the maximum value of the developed discrepancy ratio (DDRmax). Among the DDMs, the MARS model demonstrated superior performance in both the training and testing phases. In the training phase, it yielded metrics (RMSE = 0.08665, MAE = 0.05714, R2 = 0.99169, DDRmax = 4.519), and in the testing phase, it produced metrics (RMSE = 0.0252, MAE = 0.0170, R2 = 0.09933, DDRmax = 9.144). This exceptional performance of the MARS model surpassed the initially selected (Wu, 1973) [1] experimental model, which exhibited metrics (RMSE = 0.39667, MAE = 0.17463, R2 = 0.96172, DDR = 1.428). The evaluation indices conclusively establish the MARS method's absolute superiority over the experimental approach proposed by Wu (1973) [1].http://www.sciencedirect.com/science/article/pii/S2590123023007314Dam safetyMachine learningPerformance assessmentScour depth forecasting
spellingShingle Mehdi Fuladipanah
H Md Azamathulla
Kiran Tota-Maharaj
Vishwanadham Mandala
Aaron Chadee
Precise forecasting of scour depth downstream of flip bucket spillway through data-driven models
Results in Engineering
Dam safety
Machine learning
Performance assessment
Scour depth forecasting
title Precise forecasting of scour depth downstream of flip bucket spillway through data-driven models
title_full Precise forecasting of scour depth downstream of flip bucket spillway through data-driven models
title_fullStr Precise forecasting of scour depth downstream of flip bucket spillway through data-driven models
title_full_unstemmed Precise forecasting of scour depth downstream of flip bucket spillway through data-driven models
title_short Precise forecasting of scour depth downstream of flip bucket spillway through data-driven models
title_sort precise forecasting of scour depth downstream of flip bucket spillway through data driven models
topic Dam safety
Machine learning
Performance assessment
Scour depth forecasting
url http://www.sciencedirect.com/science/article/pii/S2590123023007314
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