Macroscopic dynamic capillary pressure for two-phase flow in porous media
Résumé
A closed predictive model for the macroscopic pressure difference, often referred to as the macroscopic capillary pressure, for two-phase flow in homogeneous porous media is of major importance to form a complete set of governing macroscale equations. This has been a long-lasting subject of research during the past 40 years [1, 3], and the majority of the existing models remain empirical at some level of their derivation. A new closed macroscopic dynamic capillary pressure equation is reported in this work on the basis of the existence of a representative (periodic) unit cell able to locally describe microscale momentum transport in the system. This is carried out with an adjoint method together with a Green’s formulation, requiring no other simplifying assumption.
Domaines
Milieux fluides et réactifs
Origine : Fichiers produits par l'(les) auteur(s)