| Revue: | Computational & applied mathematics |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000272538 |
| ISSN: | 1807-0302 |
| Autores: | Santos, A1 Bedrikovetsky, P2 |
| Instituciones: | 1Pontificia Universidade Catolica do Rio de Janeiro, Rio de Janeiro. Brasil 2Universidade Estadual do Norte Fluminense, Macae, Rio de Janeiro. Brasil |
| Año: | 2004 |
| Volumen: | 23 |
| Número: | 2-3 |
| Paginación: | 259-284 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Aplicado, descriptivo |
| Resumen en inglés | 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 |
| Disciplinas: | Ciencias de la computación, Matemáticas, Ingeniería |
| Palabras clave: | Matemáticas aplicadas, Ingeniería petrolera, Filtración de capa profunda, Distribución granulométrica, Distribución por tamaño de poro, Mecanismo de exclusión por tamaño, Modelos estocásticos |
| Keyword: | Computer science, Mathematics, Engineering, Applied mathematics, Petroleum engineering, Deep bed filtration, Particle size distribution, Pore size distribution, Size exclusion mechanism, Stochastic models |
| Texte intégral: | Texto completo (Ver HTML) |
