Low dimensional modeling of Double T- junctions in water distribution networks using Kriging interpolation and Delaunay triangulation
Modèle d'ordre réduit pour des embranchements en double-T des réseaux de distribution d'eau par krigeage et triangularisation de Delaunay
Gilbert, D. ; Mortazavi, I. ; Piller, O. ; Ung, H.
Type de document
Article de revue scientifique à comité de lecture
Affiliation de l'auteur
IRSTEA BORDEAUX UR ETBX FRA ; M2N IMATH CNAM PARIS FRA ; IRSTEA BORDEAUX UR ETBX FRA ; IRSTEA BORDEAUX UR ETBX FRA
Résumé / Abstract
Water distribution networks are subject to potential intentional contamination to cause harm to the consumer. Reliable transport models are needed to detect, trace and follow any contaminant transported inside the network. For now, the transport of contaminants in pipes has been mostly modeled assuming perfect mixing conditions at T-junction. However, some studies have shown that it is not always the case when crosses or double T-junctions are involved. In this paper an imperfect mixing at Double T-junction model is developed considering 3-D mixing behavior. A reduced model is then constructed in the form of a 1-D law to apply it to current 1-D transport models for water distribution networks. The methodology to create such law is detailed and can be applied to any reduced model problem including multi parameters and time consuming simulations. The procedure is composed of three steps: first calibrate the Kriging interpolation method parameters; then couple it with the Delaunay triangulation method to select simulation points with maximum gain; and finally implement a 1-D law based on the simulation results and the interpolation.
Pacific Journal of Mathematics for Industry, vol. 9, num. 2, 19 p.