Development of a distributed nonlinear Muskingum model by considering snowmelt effects for flood routing in the Red River

Abstract This research paper presents the development of a nonlinear Muskingum model which achieves precise flood routing through river reaches while considering lateral inflow conditions. Fourteen pairs of flood hydrograph found at two specific United States Geological Survey (USGS) stations locate...

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Main Authors: Vida Atashi, Reza Barati, Yeo Howe Lim
Format: Article
Language:English
Published: Nature Portfolio 2023-12-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-48895-8
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author Vida Atashi
Reza Barati
Yeo Howe Lim
author_facet Vida Atashi
Reza Barati
Yeo Howe Lim
author_sort Vida Atashi
collection DOAJ
description Abstract This research paper presents the development of a nonlinear Muskingum model which achieves precise flood routing through river reaches while considering lateral inflow conditions. Fourteen pairs of flood hydrograph found at two specific United States Geological Survey (USGS) stations located along the Red River of the North, namely Grand Forks and Drayton, are used for the calibrations and validations of the Muskingum model. To enhance the accuracy of the procedure, a reach is divided into multiple sub-reaches, and the Muskingum model calculations are performed individually for each interval using the distributed Muskingum method. Notably, the model development process incorporates the use of the Salp Swarm algorithm. The obtained results demonstrate the effectiveness of the developed nonlinear Muskingum model in accurately routing floods through the very gentle river with a bed slope of (0.0002–0.0003). The events were categorized into three groups based on their dominant drivers: Group A (Snowmelt-driven floods), Group B (Rain-on-snow-induced floods), and Group C (Mixed floods influenced by both snowmelt and rainfall). For the sub-reaches in Group A, single sub-reach (NR = 1), the Performance Evaluation Criteria (PEC) yielded the highest value for SSE, amounting to 404.9 × 106. In Group B, when NR = 2, PEC results the highest value were SSE = 730.2 × 106. The number of sub-reaches in a model has a significant influence on parameter estimates and model performance, as demonstrated by the analysis of hydrologic parameters and performance evaluation criteria. Optimal performance varied across case studies, emphasizing the importance of selecting the appropriate number of sub-reaches for peak discharge predictions.
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spelling doaj.art-6c9f017f29cb45a2b322e122f5cc356d2023-12-10T12:15:27ZengNature PortfolioScientific Reports2045-23222023-12-0113111710.1038/s41598-023-48895-8Development of a distributed nonlinear Muskingum model by considering snowmelt effects for flood routing in the Red RiverVida Atashi0Reza Barati1Yeo Howe Lim2Department of Civil Engineering, University of North DakotaDepartment of Civil Engineering, Tarbiat Modares UniversityDepartment of Civil Engineering, University of North DakotaAbstract This research paper presents the development of a nonlinear Muskingum model which achieves precise flood routing through river reaches while considering lateral inflow conditions. Fourteen pairs of flood hydrograph found at two specific United States Geological Survey (USGS) stations located along the Red River of the North, namely Grand Forks and Drayton, are used for the calibrations and validations of the Muskingum model. To enhance the accuracy of the procedure, a reach is divided into multiple sub-reaches, and the Muskingum model calculations are performed individually for each interval using the distributed Muskingum method. Notably, the model development process incorporates the use of the Salp Swarm algorithm. The obtained results demonstrate the effectiveness of the developed nonlinear Muskingum model in accurately routing floods through the very gentle river with a bed slope of (0.0002–0.0003). The events were categorized into three groups based on their dominant drivers: Group A (Snowmelt-driven floods), Group B (Rain-on-snow-induced floods), and Group C (Mixed floods influenced by both snowmelt and rainfall). For the sub-reaches in Group A, single sub-reach (NR = 1), the Performance Evaluation Criteria (PEC) yielded the highest value for SSE, amounting to 404.9 × 106. In Group B, when NR = 2, PEC results the highest value were SSE = 730.2 × 106. The number of sub-reaches in a model has a significant influence on parameter estimates and model performance, as demonstrated by the analysis of hydrologic parameters and performance evaluation criteria. Optimal performance varied across case studies, emphasizing the importance of selecting the appropriate number of sub-reaches for peak discharge predictions.https://doi.org/10.1038/s41598-023-48895-8
spellingShingle Vida Atashi
Reza Barati
Yeo Howe Lim
Development of a distributed nonlinear Muskingum model by considering snowmelt effects for flood routing in the Red River
Scientific Reports
title Development of a distributed nonlinear Muskingum model by considering snowmelt effects for flood routing in the Red River
title_full Development of a distributed nonlinear Muskingum model by considering snowmelt effects for flood routing in the Red River
title_fullStr Development of a distributed nonlinear Muskingum model by considering snowmelt effects for flood routing in the Red River
title_full_unstemmed Development of a distributed nonlinear Muskingum model by considering snowmelt effects for flood routing in the Red River
title_short Development of a distributed nonlinear Muskingum model by considering snowmelt effects for flood routing in the Red River
title_sort development of a distributed nonlinear muskingum model by considering snowmelt effects for flood routing in the red river
url https://doi.org/10.1038/s41598-023-48895-8
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