||Model for Hysteretic Constitutive Relations Governing Multiphase Flow. 1. Saturation-Pressure Relations.
Parker, J. C. ;
Lenhard, R. J. ;
||Virginia Polytechnic Inst. and State Univ., Blacksburg.;Robert S. Kerr Environmental Research Lab., Ada, OK.
Three dimensional flow ;
Subsurface investigations ;
Fluid flow ;
Mathematical models ;
Path of pollutants
||Most EPA libraries have a fiche copy filed under the call number shown. Check with individual libraries about paper copy.
||In these companion papers, a general theoretical model is presented for the description of functional relationships between relative permeability k, fluid saturation S, and pressure P in two- or three-phase (e.g., air-water or air-oil-water) porous media systems subject to arbitrary saturation paths. A parametric description of hysteretic S-P relations is developed in paper 1 which includes effects of air and oil phase occlusion or 'entrapment' during imbibition. Entrapped nonwetting fluid saturations at a given point along a saturation path are linearly interpolated between endpoints of primary imbibition scanning curves using maximum trapped saturations estimated by extension of the method of Land (1968). Arbitrary order scanning curves are predicted using an empirical interpolation scheme coupled with a scaling procedure which simplifies computations and minimizes the parametric complexity of the model. All model parameters are defined in terms of measurements which may be obtained from two-phase systems (air-water, air-oil, oil-water). Extension to three-phase systems is based on the assumption that fluid entrapment processes in three-phase systems are similar to those in two-phase systems and that wettability decreases in the order: water to oil to air. (Copyright (c) American Union Geophysical, 1987.)
||Pub. in Water Resources Research, v23 n12 p2187-2196 Dec 87. See also PB88-219845. Sponsored by Robert S. Kerr Environmental Research Lab., Ada, OK.
|NTIS Title Notes
||Reprint: Model for Hysteretic Constitutive Relations Governing Multiphase Flow. 1. Saturation-Pressure Relations.
|PUB Date Free Form
||48F; 48G; 46B
||PC A03/MF A01