Quality Modeling of Water Distribution Systems using Sensitivity Equations

In this paper, unsteady water quality modeling and the associated sensitivity equations are solved for Water Distribution Systems (WDS). A new solution algorithm is proposed, designed for slow varying velocity and based on a time splitting method to separate and solve efficiently each phenomenon such as advection and chemical reaction. This numerical approach allows simultaneous solution of both the direct problem and the sensitivity equations. Special attention is given to the treatment of advection, which is handled with a Total Variation Diminishing (TVD) scheme. The general model presented in this study permits global sensitivity analysis of the system to be performed and its efficiency is illustrated on two pipe networks. The importance of the sensitivity analysis is shown as part of the calibration process on a real network. CE Database subject headings: Water distribution systems; Water quality; Models; Sensitivity analysis; Algorithm. Professor, Bordeaux Institute of Mathematics, CNRS UMR 5251, Bordeaux I University, 33405 Talence, France. E-mail: [email protected] Project Manager, Safege company, Parc de l’Ile 15/27 rue du Port 92022 Nanterre Cedex, France. E-mail: [email protected] Associate Professor, Bordeaux Institute of Mathematics, CNRS UMR 5251 & INRIA Sud-Ouest Projet MC2, Bordeaux I University , 33405 Talence, France. E-mail: [email protected] Research Scientist, Hydraulics and Civil Engineering Research Unit, Cemagref, 50 avenue de Verdun, Gazinet, F-33612 Cestas cedex, France. E-mail: [email protected] 1 Author-produced version of the article published in Journal of Hydraulic Engineering, 2010, 136(1), 34-44. The original publication is available at http://ascelibrary.org/journal/jhend8 http://dx.doi.org/10.1061/(ASCE)HY.1943-7900.0000138