Size exclusion during particle suspension transport in porous media: stochastic and averaged equations
AUTOR(ES)
Santos, A., Bedrikovetsky, P.
FONTE
Computational & Applied Mathematics
DATA DE PUBLICAÇÃO
2004-12
RESUMO
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.
Documentos Relacionados
- 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
- MODELO ESTOCÁSTICO PARA A EXCLUSÃO PELO TAMANHO DURANTE O TRANSPORTE DE SUSPENSÕES PARTICULADAS EM MEIOS POROSOS
- Capillary pressure driven water movement in wet unsaturated porous media: effect of particle electric charge
- Stochastic analysis of two-phase immiscible flow in stratified porous media
- Flows of Bingham Materials Through Ideal Porous Media: an Experimental and Theoretical Study