Efficient Reservoir Modelling for Flood Regulation in the Ebro River (Spain)

The vast majority of reservoirs, although built for irrigation and water supply purposes, are also used as regulation tools during floods in river basins. Thus, the selection of the most suitable model when facing the simulation of a flood wave in a combination of river reach and reservoir is not di...

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Autores principales: Isabel Echeverribar, Pablo Vallés, Juan Mairal, Pilar García-Navarro
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:b6c4a1be4c9b4b948e0f7954a7d2cc922021-11-25T19:14:54ZEfficient Reservoir Modelling for Flood Regulation in the Ebro River (Spain)10.3390/w132231602073-4441https://doaj.org/article/b6c4a1be4c9b4b948e0f7954a7d2cc922021-11-01T00:00:00Zhttps://www.mdpi.com/2073-4441/13/22/3160https://doaj.org/toc/2073-4441The vast majority of reservoirs, although built for irrigation and water supply purposes, are also used as regulation tools during floods in river basins. Thus, the selection of the most suitable model when facing the simulation of a flood wave in a combination of river reach and reservoir is not direct and frequently some analysis of the proper system of equations and the number of solved flow velocity components is needed. In this work, a stretch of the Ebro River (Spain), which is the biggest river in Spain, is simulated solving the Shallow Water Equations (SWE). The simulation model covers the area of river between the city of Zaragoza and the Mequinenza dam. The domain encompasses 721.92 km<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>2</mn></msup></semantics></math></inline-formula> with 221 km of river bed, of which the last 75 km belong to the Mequinenza reservoir. The results obtained from a one-dimensional (1D) model are validated comparing with those provided by a two-dimensional (2D) model based on the same numerical scheme and with measurements. The 1D modelling loses the detail of the floodplain, but nevertheless the computational consumption is much lower compared to the 2D model with a permissible loss of accuracy. Additionally, the particular nature of this reservoir might turn the 1D model into a more suitable option. An alternative technique is applied in order to model the reservoir globally by means of a volume balance (0D) model, coupled to the 1D model of the river (1D-0D model). The results obtained are similar to those provided by the full 1D model with an improvement on computational time. Finally, an automatic regulation is implemented by means of a Proportional-Integral-Derivative (PID) algorithm and tested in both the full 1D model and the 1D-0D model. The results show that the coupled model behaves correctly even when controlled by the automatic algorithm.Isabel EcheverribarPablo VallésJuan MairalPilar García-NavarroMDPI AGarticlereservoir modelnumerical simulationshallow water equationsPID regulationHydraulic engineeringTC1-978Water supply for domestic and industrial purposesTD201-500ENWater, Vol 13, Iss 3160, p 3160 (2021)
institution DOAJ
collection DOAJ
language EN
topic reservoir model
numerical simulation
shallow water equations
PID regulation
Hydraulic engineering
TC1-978
Water supply for domestic and industrial purposes
TD201-500
spellingShingle reservoir model
numerical simulation
shallow water equations
PID regulation
Hydraulic engineering
TC1-978
Water supply for domestic and industrial purposes
TD201-500
Isabel Echeverribar
Pablo Vallés
Juan Mairal
Pilar García-Navarro
Efficient Reservoir Modelling for Flood Regulation in the Ebro River (Spain)
description The vast majority of reservoirs, although built for irrigation and water supply purposes, are also used as regulation tools during floods in river basins. Thus, the selection of the most suitable model when facing the simulation of a flood wave in a combination of river reach and reservoir is not direct and frequently some analysis of the proper system of equations and the number of solved flow velocity components is needed. In this work, a stretch of the Ebro River (Spain), which is the biggest river in Spain, is simulated solving the Shallow Water Equations (SWE). The simulation model covers the area of river between the city of Zaragoza and the Mequinenza dam. The domain encompasses 721.92 km<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>2</mn></msup></semantics></math></inline-formula> with 221 km of river bed, of which the last 75 km belong to the Mequinenza reservoir. The results obtained from a one-dimensional (1D) model are validated comparing with those provided by a two-dimensional (2D) model based on the same numerical scheme and with measurements. The 1D modelling loses the detail of the floodplain, but nevertheless the computational consumption is much lower compared to the 2D model with a permissible loss of accuracy. Additionally, the particular nature of this reservoir might turn the 1D model into a more suitable option. An alternative technique is applied in order to model the reservoir globally by means of a volume balance (0D) model, coupled to the 1D model of the river (1D-0D model). The results obtained are similar to those provided by the full 1D model with an improvement on computational time. Finally, an automatic regulation is implemented by means of a Proportional-Integral-Derivative (PID) algorithm and tested in both the full 1D model and the 1D-0D model. The results show that the coupled model behaves correctly even when controlled by the automatic algorithm.
format article
author Isabel Echeverribar
Pablo Vallés
Juan Mairal
Pilar García-Navarro
author_facet Isabel Echeverribar
Pablo Vallés
Juan Mairal
Pilar García-Navarro
author_sort Isabel Echeverribar
title Efficient Reservoir Modelling for Flood Regulation in the Ebro River (Spain)
title_short Efficient Reservoir Modelling for Flood Regulation in the Ebro River (Spain)
title_full Efficient Reservoir Modelling for Flood Regulation in the Ebro River (Spain)
title_fullStr Efficient Reservoir Modelling for Flood Regulation in the Ebro River (Spain)
title_full_unstemmed Efficient Reservoir Modelling for Flood Regulation in the Ebro River (Spain)
title_sort efficient reservoir modelling for flood regulation in the ebro river (spain)
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/b6c4a1be4c9b4b948e0f7954a7d2cc92
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