Comptes Rendus
no. 4
Sequential Monte Carlo hydraulic state estimation of an irrigation canal
[Estimation de l'état hydraulique d'un canal d'irrigation par une méthode Monte Carlo séquentielle]

Présenté par : Marcel Lesieur

Jacques Sau1  ; Pierre-Olivier Malaterre2 ; Jean-Pierre Baume2
1 LMFA, UMR 5509, Université Lyon 1, 69622 Villeurbanne cedex, France
2 UMR G-EAU, Cemagref, BP 5095, 34196 Montpellier cedex 5, France
Comptes Rendus. Mécanique, Volume 338 (2010) no. 4, pp. 212-219.

L'estimation en temps réel de l'état hydraulique de canaux d'irrigation devient l'une des préoccupations majeures des gestionnaires de réseaux. A cette fin, cette Note présente une nouvelle approche qui combine une solution numérique des EDP de Saint-Venant pour les écoulements à surface libre avec une estimation d'état basée sur une méthode Monte Carlo séquentielle. Nous montrons que les débits et côtes le long du canal sont reproduits, et aussi que l'identification simultanée de paramètres du modèle, comme le coefficient de frottement de Manning–Strickler, peut être réalisée.

The estimation in real time of the hydraulic state of irrigation canals is becoming one of the major concerns of network managers. With this end in view, this Note presents a new approach based on the combination of a numerical solution of the open channel Saint-Venant PDE with a sequential Monte Carlo state-space estimation. We shall show that discharges and elevations along the canal are successfully estimated, and also that, concurrently, model parameters identification, such as the Manning–Strickler friction coefficient, can be performed.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2010.03.013
Keywords: Fluid mechanics, Open channel flow, Data assimilation, Sequential Monte Carlo, Irrigation canals
Mot clés : Mécanique des fluides, Écoulement à surface libre, Assimilation de données, Monte Carlo séquentiel, Canaux d'irrigation
Jacques Sau 1 ; Pierre-Olivier Malaterre 2 ; Jean-Pierre Baume 2

1 LMFA, UMR 5509, Université Lyon 1, 69622 Villeurbanne cedex, France
2 UMR G-EAU, Cemagref, BP 5095, 34196 Montpellier cedex 5, France 
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     journal = {Comptes Rendus. M\'ecanique},
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     year = {2010},
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     language = {en},
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Jacques Sau; Pierre-Olivier Malaterre; Jean-Pierre Baume. Sequential Monte Carlo hydraulic state estimation of an irrigation canal. Comptes Rendus. Mécanique, Volume 338 (2010) no. 4, pp. 212-219. doi : 10.1016/j.crme.2010.03.013. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.03.013/

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[4] J.-P. Baume; P.-O. Malaterre; G. Belaud; B. Le Guennec SIC: a 1D hydrodynamic model for river and irrigation canal modeling and regulation (Rui Carlos Vieira da Silva, ed.), Métodos Numéricos em Recursos Hidricos 7, ABRH (Associacao Brasileira de Recursos Hidricos), Coppetec Fundacao, 2005, pp. 1-81 (ISBN: 85-88686-14-7)

[5] D. Rogier, C. Coeuret, J. Brémond, Dynamic regulation on the canal de Provence. Planning operation, rehabilitation and automation of irrigation water delivery systems, in: Symposium ASCE, Portland, Oregon, 23–30 July 1987

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[7] M.S. Arulampalam; S. Maskell; N. Gordon; T. Clapp A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking, IEEE Transactions on Signal Processing, Volume 50 (2002) no. 2, pp. 174-188

[8] J.-P. Baume, J. Sau, P.-O. Malaterre, Modeling of irrigation channel dynamics for controller design, in: IEEE Int. Conference on Systems, Man & Cybernetics (SMC98), San Diego, California, October 11–14, 1998, pp. 3856–3861

[9] P.-O. Malaterre; D.C. Rogers; J. Schuurmans Classification of canal control algorithms, ASCE Journal of Irrigation and Drainage Engineering, Volume 124 (1998) no. 1, pp. 3-10

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