A homogenization result for three-phase flow though periodic heterogeneus porous media

• Autores: Brahim Amaziane, B. Ondami
• Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort, 2003, ISBN 84-96214-04-4, págs. 49-56
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We give homogenization results for an immiscible and incompressible three-phase ow model in a heterogeneous petroleum reservoir with periodic structure, including capillary ffects. We consider a model which leads to a coupled system of partial differential equations which includes an elliptic equation and two nonlinear degenerate parabolic equations of convection-diffusion types. Using two-scale convergence, we get an homogenized model which governs the global behavior of the ow. The determination of effective properties require the numerical resolution of local problems in a standard cell.