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 differen
tial equation (PDE). A numerical algorithm is given, which also includ
es a mathematical model of the aeration tank. Theoretical and numerica
l simulations are then compared with real data. The evolution of the s
hock corresponding to the rising of a sludge blanket is described by a
n ordinary differential equation (ODE). Consequently, regulation strat
egies of the rising of a sludge blanket in case of important water adm
ission to the plant are proposed. We end briefly with two possible ext
ensions. A model with two classes of particles in interaction is intro
duced to take into account the particle size change, as well as a mode
l giving the distribution of residence times to take into account its
effect on the velocity. (C) 1997 Elsevier Science Ltd.