Constitutive relationships derived from pore-scale network models

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

2 Scopus citations

Abstract

We use a quasi-static pore-scale network model for fluid displacements to investigate specific aspects of new constitutive relationships at the continuum scale. We examine the underlying definition of capillary pressure at the macroscopic scale, showing why traditional definitions do not apply at the limits of residual saturations. We then investigate the conjecture that hysteresis between the capillary pressure and saturation is eliminated by extension of the capillary pressure-saturation relationship to include a third variable, namely fluid-fluid interfacial area or common line length. For a considered sample pore network, hysteresis was nearly eliminated with a physically plausible choice of model displacement rules. This observation has potentially important implications for two-phase flow models that incorporate hysteresis.

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
Pages85-91
Number of pages7
ISBN (Print)9058091244
StatePublished - Jan 1 2000
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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    Held, R. J., & Celia, M. A. (2000). Constitutive relationships derived from pore-scale network models. 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. 85-91). A.A. Balkema.