Erratum: (Computational and Applied Mathematics, Vol. 23, N. 2-3, pp. 259-284)
Size exclusion during particle suspension transport in porous media: stochastic and averaged equations
A. SantosI; P. BedrikovetskyII
IUniversidade Católica do Rio de Janeiro (PUC-Rio/DEC/GTEP) Rua Marques de São Vicente 225, 22453-900 Rio de Janeiro, RJ, Brazil. E-mail: asantos@civ.puc-rio.br
IIUniversidade Estadual do Norte Fluminense (UENF/LENEP) Rod. Amaral Peixoto, km 163 - Av. Brenand s/n. 27925-310 Macaé, RJ, Brazil. E-mail: pavel@lenep.uenf.br
ABSTRACT
A pore scale population balance model is formulated for deep bed filtration of stable particulate suspensions in porous media. The particle capture from the suspension by the rock occurs by the size exclusion mechanism. The equations for particle and pore size distributions have been derived from the stochastic Master equation. The model proposed is a generalization of stochastic Sharma-Yortsos equations - it accounts for particle flux reduction due to restriction for large particles to move via small pores. Analytical solution for low particle concentration is obtained for any particle and pore size distributions. The averaged macro scale equations, derived from the stochastic pore scale model, significantly differ from the traditional deep bed filtration model.
Mathematical subject classification: 76S05, 60H15.
Key words: deep bed filtration, particle size distribution, pore size distribution, size exclusion mechanism, stochastic model, averaging.
Received: 31/III/03. Accepted: 24/XI/04.
#566/03.
Publication Dates
-
Publication in this collection
20 Apr 2006 -
Date of issue
Dec 2005
