Two phase flow including interfacial area as a variable

H. F. Nordhaug, H. K. Dahle, M. S. Espedal, W. G. Gray, Michael Anthony Celia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

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 languageEnglish (US)
Title of host publicationComputational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport
EditorsL.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
PublisherA.A.Balkema
Pages231-238
Number of pages8
ISBN (Print)9058091244
StatePublished - Jan 1 2000
Externally publishedYes
EventComputational Methods in Water Resources XIII - Calgary, Canada
Duration: Jun 25 2000Jun 29 2000

Other

OtherComputational Methods in Water Resources XIII
CountryCanada
CityCalgary
Period6/25/006/29/00

All Science Journal Classification (ASJC) codes

  • Earth and Planetary Sciences(all)
  • Engineering(all)
  • Environmental Science(all)

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  • Cite this

    Nordhaug, H. F., Dahle, H. K., Espedal, M. S., Gray, W. G., & Celia, M. A. (2000). Two phase flow including interfacial area as a variable. In 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 (Eds.), Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport (pp. 231-238). A.A.Balkema.