Hydraulic model with roughness coefficient updating method based on Kalman filter for channel flood forecast

A real-time channel flood forecast model was developed to simulate channel flow in plain rivers based on the dynamic wave theory. Taking into consideration channel shape differences along the channel, a roughness updating technique was developed using the Kalman filter method to update Manning'...

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Main Authors: Hong-jun Bao, Lin-na Zhao
Format: Article
Language:English
Published: Elsevier 2011-03-01
Series:Water Science and Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1674237015301381
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author Hong-jun Bao
Lin-na Zhao
author_facet Hong-jun Bao
Lin-na Zhao
author_sort Hong-jun Bao
collection DOAJ
description A real-time channel flood forecast model was developed to simulate channel flow in plain rivers based on the dynamic wave theory. Taking into consideration channel shape differences along the channel, a roughness updating technique was developed using the Kalman filter method to update Manning's roughness coefficient at each time step of the calculation processes. Channel shapes were simplified as rectangles, triangles, and parabolas, and the relationships between hydraulic radius and water depth were developed for plain rivers. Based on the relationship between the Froude number and the inertia terms of the momentum equation in the Saint-Venant equations, the relationship between Manning's roughness coefficient and water depth was obtained. Using the channel of the Huaihe River from Wangjiaba to Lutaizi stations as a case, to test the performance and rationality of the present flood routing model, the original hydraulic model was compared with the developed model. Results show that the stage hydrographs calculated by the developed flood routing model with the updated Manning's roughness coefficient have a good agreement with the observed stage hydrographs. This model performs better than the original hydraulic model.
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spelling doaj.art-91c16ac563e345d0bf0f9c15771bd0272022-12-22T03:33:55ZengElsevierWater Science and Engineering1674-23702011-03-0141132310.3882/j.issn.1674-2370.2011.01.002Hydraulic model with roughness coefficient updating method based on Kalman filter for channel flood forecastHong-jun Bao0Lin-na Zhao1Public Meteorological Service Center, China Meteorological Administration, Beijing 100081, P. R. ChinaPublic Meteorological Service Center, China Meteorological Administration, Beijing 100081, P. R. ChinaA real-time channel flood forecast model was developed to simulate channel flow in plain rivers based on the dynamic wave theory. Taking into consideration channel shape differences along the channel, a roughness updating technique was developed using the Kalman filter method to update Manning's roughness coefficient at each time step of the calculation processes. Channel shapes were simplified as rectangles, triangles, and parabolas, and the relationships between hydraulic radius and water depth were developed for plain rivers. Based on the relationship between the Froude number and the inertia terms of the momentum equation in the Saint-Venant equations, the relationship between Manning's roughness coefficient and water depth was obtained. Using the channel of the Huaihe River from Wangjiaba to Lutaizi stations as a case, to test the performance and rationality of the present flood routing model, the original hydraulic model was compared with the developed model. Results show that the stage hydrographs calculated by the developed flood routing model with the updated Manning's roughness coefficient have a good agreement with the observed stage hydrographs. This model performs better than the original hydraulic model.http://www.sciencedirect.com/science/article/pii/S1674237015301381flood routingManning's roughness coefficient updating methodKalman filterFroude numberSaint-Venant equationshydraulic model
spellingShingle Hong-jun Bao
Lin-na Zhao
Hydraulic model with roughness coefficient updating method based on Kalman filter for channel flood forecast
Water Science and Engineering
flood routing
Manning's roughness coefficient updating method
Kalman filter
Froude number
Saint-Venant equations
hydraulic model
title Hydraulic model with roughness coefficient updating method based on Kalman filter for channel flood forecast
title_full Hydraulic model with roughness coefficient updating method based on Kalman filter for channel flood forecast
title_fullStr Hydraulic model with roughness coefficient updating method based on Kalman filter for channel flood forecast
title_full_unstemmed Hydraulic model with roughness coefficient updating method based on Kalman filter for channel flood forecast
title_short Hydraulic model with roughness coefficient updating method based on Kalman filter for channel flood forecast
title_sort hydraulic model with roughness coefficient updating method based on kalman filter for channel flood forecast
topic flood routing
Manning's roughness coefficient updating method
Kalman filter
Froude number
Saint-Venant equations
hydraulic model
url http://www.sciencedirect.com/science/article/pii/S1674237015301381
work_keys_str_mv AT hongjunbao hydraulicmodelwithroughnesscoefficientupdatingmethodbasedonkalmanfilterforchannelfloodforecast
AT linnazhao hydraulicmodelwithroughnesscoefficientupdatingmethodbasedonkalmanfilterforchannelfloodforecast