Derivation of vertically averaged equations describing multiphase flow in porous media
An extension of the REV averaging technique, used to derive balance equations for multiphase or porous media flow problems, is presented. Theorems which allow a one-step transformation from three-dimensional point equations for a single phase to two-dimensional point equations for multiphase systems are derived. The theorems are then applied to obtain the vertically averaged balance equations of mass, chemical species, momentum, energy and entropy. The relation between these equations and their unaveraged predecessors is clearer than when the standard two-step averaging procedure is applied. Furthermore, constitutive relations are more easily hypothesized for the current system of equations than for previously derived forms.
- Research Organization:
- Princeton University, NJ
- DOE Contract Number:
- AC03-80SF11489
- OSTI ID:
- 5717898
- Journal Information:
- Water Resour. Res.; (United States), Journal Name: Water Resour. Res.; (United States) Vol. 18:6; ISSN WRERA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Interface effects on multiphase flows in porous media
Time- and volume-averaged conservation equations for multiphase flow