A mathematical model for open-channel networks

Corriga, G.; Patta, Federico; Sanna, S.; Usai, G.

doi:10.1016/0307-904x(79)90069-6

Cited by 17 publications

(6 citation statements)

References 1 publication

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“…From Saint Venant equations, a class of models are derived (discretized in Balogun, Hubbard, & De Vries, 1988;Garcia, Hubbard, & De Vries, 1992;Georges, 1994, and linearized in Baume & Sau, 1997;Chentouf, Xu, & Boulbrachene, 2001;Duviella, Charbonnaud, Chiron, & Carrillo, 2005;Litrico, 2001;Litrico & Georges, 1997, 1999a, 1999bLitrico, Georges, & Trouvat, 1998). The other principle is the water volume or mass balance principle (Corriga, Patta, Sanna, & Usai, 1979;Corriga, Sanna, & Usai, 1983;Schuurmans, Bosgra, & Brouwer, 1995;Schuurmans, Hof, Dijkstra, Bosgra, & Brouwer, 1999), with which some volume (mass) balance models are presented. The parameters in data-driven models are identified from real time data.…”

Section: Introductionmentioning

confidence: 99%

A modelling methodology for natural dam-river network systems

Zhuan

Xia

2008

IFAC Proceedings Volumes

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a b s t r a c tAn approach for modelling a natural dam-river network system is proposed in this paper. Generally, the relationships among the variables of a natural dam-river network system are complex and difficult to describe. In this paper, some simple relationships among the water levels measured at a limited number of points of the network system are presented in such a way that a simple model is achieved. The model is identified and validated with the real time operational data. An example is given and the result shows the feasibility of the modelling methodology. It is believed that the proposed approach can be used in the operation of natural dam-river or river network systems.

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Section: Introductionmentioning

confidence: 99%

A modelling methodology for natural dam-river network systems

Zhuan

Xia

2008

IFAC Proceedings Volumes

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“…However, considering the system in a frequency domain leads to a linear model which is easier to simulate [7]. For channels in the uniform flow regime, in which the geometry is uniform and the water depth is constant along the channel, it is well known that an analytical solution to the Linearized Saint-Venant equations (LSVE) exists in the frequency domain [8] [9] [10]. However, realistic channels hardly exhibit uniform flows.…”

Section: Introductionmentioning

confidence: 99%

Data reconciliation of an open channel flow network using modal decomposition

Wu¹,

Litrico

Bayen³

2008

2008 47th IEEE Conference on Decision and Control

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This article presents a method to estimate flow variables for an open channel network governed by first-order, linear hyperbolic partial differential equations and subjected to periodic forcing. The selected external boundary conditions of the system are defined as the model input; the flow properties at internal locations, as well as the other external boundary conditions, are defined as the output. A spatially-dependent transfer matrix in the frequency domain is constructed to relate the model input and output. A data reconciliation technique efficiently eliminates the error in the measured data and results in a reconciliated external boundary conditions; subsequently, the flow properties at any location in the system can be accurately evaluated. The applicability and effectiveness of the method is substantiated with a case study of the river flow subject to tidal forcing in the Sacramento-San Joaquin Delta, California. It is shown that the proposed method gives an accurate estimation of the flow properties at any intermediate location within the channel network.

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“…The model (9) can be readily applied to tidally driven channel networks. The problem of interest can be stated as follows, and is illustrated in Figure 1.…”

Section: Transfer Matrix Model For Channel Networkmentioning

confidence: 99%

“…The proposed linear network model is constructed on the basis of analytical solutions to the Linearized Saint-Venant equations (LSVE) in the frequency domain [9] [12] [4]. With the assumption of a backwater curve model [22], a more realistic transfer matrix function has been introduced [16], which we use in the present article.…”

Section: Introductionmentioning

confidence: 99%

Data reconciliation of an open channel flow network using modal decomposition

Wu¹,

Litrico²,

Bayen³

2009

Advances in Water Resources

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This article presents a method to estimate flow variables for an open channel network governed by the linearized Saint-Venant equations and subject to periodic forcing. The discharge at the upstream end of the system and the stage at the downstream end of the system are defined as the model inputs; the flow properties at selected internal locations, as well as the other external boundary conditions, are defined as the outputs. Both inputs and outputs are affected by noise and we use the model to estimate this data. A spatially-dependent transfer matrix in the frequency domain is constructed to relate the model input and output using modal decomposition. A data reconciliation technique is used to incorporate the error in the measured data and results in a set of reconciliated external boundary conditions; subsequently, the flow properties at any location in the system can be accurately constructed from the input measurements. The applicability and effectiveness of the method is demonstrated with a case study of the river flow subject to tidal forcing in the Sacramento-San Joaquin Delta, in California. We used existing USGS sensors in place in the Delta as measurement points, and deployed our own sensors at selected locations to produce data used for the validation. The proposed method gives an accurate estimation of the flow properties at intermediate locations within the channel network.

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A mathematical model for open-channel networks

Cited by 17 publications

References 1 publication

A modelling methodology for natural dam-river network systems

A modelling methodology for natural dam-river network systems

Data reconciliation of an open channel flow network using modal decomposition

Data reconciliation of an open channel flow network using modal decomposition

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