%0 Journal Article
%T A stochastic approach to model bottom boundary conditions and compute efficiency in a settling tank
%V 11
%N 6
%P 449â€“457
%X When the diffusion term is supposed not to be zero at the boundary of a settling tank, we show that an alternate (and equivalent) description to the basic advection-diffusion equation for the concentration of micro pollutant consists in modelling the micro pollutant particlesâ€™ trajectories as a diffusion stochastic process. Indeed, the density of this latter satisfies the same Pde as the advection-diffusion equation. Our emphasis here is on the computation of the so called tank efficiency and on the bottom boundary conditions. We claim that our interpretation in terms of a diffusion process helps to enlighten the choice of the appropriate mathematical boundary conditions. What is more, we introduce a scouring parameter and give its range as well as its physical interpretation.
%J Stochastic Hydrology and Hydraulics
%A Chancelier, J.P.
%A de Lara, M.C.
%A Pacard, F.
%D 1997