New Relative-Permeability and Capillary-Pressure Models Sample Clauses

New Relative-Permeability and Capillary-Pressure Models. A new multiphase capillary-pressure and relative-permeability function has been implemented in UTCHEM. As the result of this task, UTCHEM has now the option of either Xxxxxx-Xxxxx or van Genuchten capillary- pressure functions. The two-phase gas-water, water-oil, or microemulsion-oil and three-phase oil-water-gas capillary pressure-saturation functions are determined using the generalization of Xxxxxx et al. [1987] to the two-phase flow model of van Genuchten [1980]. The new two- and three-phase relative permeabilities are also based on the generalization of Xxxxxx and Xxxxxxx to the two-phase flow model of van Genuchten. Both capillary-pressure and relative-permeability functions account for hysteresis due to arbitrary changes in saturation path by incorporating an oil-phase-entrapment model. The hysteresis modeling in UTCHEM is based on the work by Xxxxxxxxxxx and Xxxxxx [1992]. The assumptions made in developing and applying this model are: • The model applies only to strongly water-wet media where the wettability in descending order is for water (or microemulsion), oil, and gas phases. Oil will be used in this report to mean any nonaqueous phase liquid (NAPL). • The model applies to three-phase air-water-oil flow in the vadose zone and two-phase oil-water or oil-microemulsion flow in the saturated zone. • To avoid numerical oscillations with changes from two phases (air-water) to three phases (air-water- oil), once a location is classified as a three-phase node, it will not revert back to two phases (air- water). • Gas entrapment is neglected for the three-phase case. Therefore, oil entrapment in three-phase air- water-oil flow can be inferred directly from that in a two-phase oil-water system. • Water relative permeability is unaffected by oil entrapment. • There is no oil entrapment on the main drainage curve. • There is no oil entrapment when water saturation is at its residual value in the vadose zone. A detailed description on the formulation of the new hysteretic capillary-pressure and relative-permeability models is given in Section 2.2 of this report.
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