Pore-scale modeling extension of constitutive relationships in the range of residual saturations

R. J. Held, M. A. Celia

Research output: Contribution to journalArticle

29 Scopus citations

Abstract

A pore network model is used to describe constitutive relationships between saturation, capillary pressure, relative permeabilities, and interfacial areas over the full range of saturations. We focus on residual nonwetting-phase saturations, that is, the saturation range between main drainage and primary drainage. Interphase mass transfer and dynamic miscible transport are modeled to generate the range of saturations over which the extended constitutive relationships are calculated. To accommodate all saturations in a consistent way, we define capillary pressure as the areal average of local capillary pressures associated with each fluid-fluid interface. The extended constitutive relationships provide input for continuum-scale models covering the entire saturation range and indicate that special care is needed in the general formulation of continuumscale equations.

Original languageEnglish (US)
Pages (from-to)165-170
Number of pages6
JournalWater Resources Research
Volume37
Issue number1
DOIs
StatePublished - 2001

All Science Journal Classification (ASJC) codes

  • Water Science and Technology

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