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.
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.
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Mots-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
@article{CRMECA_2010__338_4_212_0, author = {Jacques Sau and Pierre-Olivier Malaterre and Jean-Pierre Baume}, title = {Sequential {Monte} {Carlo} hydraulic state estimation of an irrigation canal}, journal = {Comptes Rendus. M\'ecanique}, pages = {212--219}, publisher = {Elsevier}, volume = {338}, number = {4}, year = {2010}, doi = {10.1016/j.crme.2010.03.013}, language = {en}, }
TY - JOUR AU - Jacques Sau AU - Pierre-Olivier Malaterre AU - Jean-Pierre Baume TI - Sequential Monte Carlo hydraulic state estimation of an irrigation canal JO - Comptes Rendus. Mécanique PY - 2010 SP - 212 EP - 219 VL - 338 IS - 4 PB - Elsevier DO - 10.1016/j.crme.2010.03.013 LA - en ID - CRMECA_2010__338_4_212_0 ER -
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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