TY - JOUR
T1 - Pore-scale modeling extension of constitutive relationships in the range of residual saturations
AU - Held, R. J.
AU - Celia, M. A.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
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U2 - 10.1029/2000WR900234
DO - 10.1029/2000WR900234
M3 - Article
AN - SCOPUS:0035144843
SN - 0043-1397
VL - 37
SP - 165
EP - 170
JO - Water Resources Research
JF - Water Resources Research
IS - 1
ER -