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Main Title Model for Hysteretic Constitutive Relations Governing Multiphase Flow. 2. Permeability-Saturation Relations.
Author Lenhard, R. J. ; Parker, J. C. ;
CORP Author Virginia Polytechnic Inst. and State Univ., Blacksburg.;Robert S. Kerr Environmental Research Lab., Ada, OK.
Year Published 1987
Report Number EPA/600/J-87/358;
Stock Number PB88-219845
Additional Subjects Ground water ; Hydrodynamics ; Soil mechanics ; Multiphase flow ; Fluid flow ; Subsurface investigations ; Permeability ; Hysteresis ; Liquid saturation ; Reprints ;
Library Call Number Additional Info Location Last
NTIS  PB88-219845 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
Collation 12p
A theoretical model is described for the prediction of relative permeability-saturation (k-S) relations in two-phase (air-water) and three phase (air-oil-water) porous media systems subject to arbitrary saturation paths. Integral expressions for air, water, and oil relative permeabilities are presented. The parametric model for saturation-pressure relations and fluid entrapment is employed in the integral equations to enable derivation of closed-form expressions for air, water, and oil relative permeabilities as functions of current fluid saturations and saturation history. Three-phase k-S relations are calculated for main drainage and imbibition paths for a hypothetical soil to illustrate usage of the model and to evaluate the magnitude of fluid entrapment effects on relative permeabilities. Water permeability-saturation relations are predicted to exhibit mild hysteretic effects except at high saturations, while hysteresis in air permeability-saturation relations is much more pronounced. Predictions of k-S-P relations for a hypothetical NAPL contamination scenario are presented using model parameters determined for a sandy soil by two methods. The results indicate that hysteresis and nonwetting fluid entrapment effects on k-S-P relations may be substantial. Sensitivity to calibration method is found to be small. (Copyright (c) American Geophysical Union, 1987.)