Abstract
Based on the procedure of (Gray and Hassanizadeh 1998) we state macroscale conservation equations for multi phase flow in porous media including interfacial area as a variable. The phases we consider are a solid phase, a wetting phase and a non-wetting phase. Some modeling work is done to decide the functionality of the coefficients in the equations. In particular we construct constitutive relationships for the interfacial area as a function of saturation and capillary pressure, and the resistance terms. The final set of equations is reduced to a 2 x 2 system with the saturation and the interfacial area as independent variables. Some preliminary numerical experiments are reported.
Original language | English (US) |
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Title of host publication | Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport |
Editors | L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder, L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder |
Publisher | A.A. Balkema |
Pages | 231-238 |
Number of pages | 8 |
ISBN (Print) | 9058091244 |
State | Published - 2000 |
Externally published | Yes |
Event | Computational Methods in Water Resources XIII - Calgary, Canada Duration: Jun 25 2000 → Jun 29 2000 |
Other
Other | Computational Methods in Water Resources XIII |
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Country/Territory | Canada |
City | Calgary |
Period | 6/25/00 → 6/29/00 |
All Science Journal Classification (ASJC) codes
- General Earth and Planetary Sciences
- General Engineering
- General Environmental Science