https://hal-enpc.archives-ouvertes.fr/hal-00779535Chancelier, J.Ph.J.Ph.ChancelierCERGRENE - CERGRENE - ENGREF - Ecole Nationale du Génie Rural, des Eaux et des Forêts - ENPC - École des Ponts ParisTechde Lara, MichelMichelde LaraCERGRENE - CERGRENE - ENGREF - Ecole Nationale du Génie Rural, des Eaux et des Forêts - ENPC - École des Ponts ParisTechJoannis, C.C.JoannisLCPC/EAU - Division Eau et Environnement - LCPC - Laboratoire Central des Ponts et Chaussées - UNAM - PRES Université Nantes Angers Le MansPacard, F.F.PacardCERGRENE - CERGRENE - ENGREF - Ecole Nationale du Génie Rural, des Eaux et des Forêts - ENPC - École des Ponts ParisTechNew insights in dynamic modeling of a secondary settler. Dynamical analysisHAL CCSD1997[SDE] Environmental SciencesEnpc, Ist2013-01-22 13:15:152022-07-22 09:11:042013-01-22 13:15:15enJournal articles10.1016/S0043-1354(96)00287-41A dynamic model of the settling process in the secondary settler of a wastewater treatment plant is given by a nonlinear scalar conservation law for the sludge concentration under the form of a partial differential equation (PDE). A numerical algorithm is given, which also includes a mathematical model of the aeration tank. Theoretical and numerical simulations are then compared with real data. The evolution of the shock corresponding to the rising of a sludge blanket is described by an ordinary differential equation (ODE). Consequently, regulation strategies of the rising of a sludge blanket in case of important water admission to the plant are proposed. We end briefly with two possible extensions. A model with two classes of particles in interaction is introduced to take into account the particle size change, as well as a model giving the distribution of residence times to take into account its effect on the velocity.A dynamic model of the settling process in the secondary settler of a wastewater treatment plant is given by a nonlinear scalar conservation law for the sludge concentration under the form of a partial differential equation (PDE). A numerical algorithm is given, which also includes a mathematical model of the aeration tank. Theoretical and numerical simulations are then compared with real data. The evolution of the shock corresponding to the rising of a sludge blanket is described by an ordinary differential equation (ODE). Consequently, regulation strategies of the rising of a sludge blanket in case of important water admission to the plant are proposed. We end briefly with two possible extensions. A model with two classes of particles in interaction is introduced to take into account the particle size change, as well as a model giving the distribution of residence times to take into account its effect on the velocity.