Further discussion of two‐phase flow in porous media

Patel, J. G.; Hegde, Madhukar G; Slattery, John C.

doi:10.1002/aic.690180528

Cited by 8 publications

(3 citation statements)

References 7 publications

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“…In general, iij corresponds to a harmonic volume average radlUs of curvature, the averaging being performed over the same volume elements which are used to define p!. [38][39][40][41][42][43][44][45][46] p{ is just the generalization to multicomponent, multiphase systems of the ordinary capillary pressure. 33,50 In general, we expect the average radius of curvature to depend on the fluid saturations, the geometry of the porous medium, and the relative wettability (Le., contact angle 33 ) of the two phases on the rock surface.…”

Section: General Multiphase Chemical Flood Equationsmentioning

confidence: 99%

Formulation of a General Multiphase, Multicomponent Chemical Flood Model

Fleming¹,

Thomas²,

Winter³

1981

Society of Petroleum Engineers Journal

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A general multi phase, multicomponent chemical flood model has been formulated. The set of mass conservation laws for each component in an isothermal system is closed by assuming local thermodynamic (phase) equilibrium, Darcy's law for multiphase flow through porous media, and Fick's law of diffusion. For the special case of binary, twophase flow of non mixing incompressible fluids, the equations reduce to those of Buckley and Leverett. The Buckley-Leverett equations also may be obtained for significant fractions of both components in the phases if the two phases are sufficiently incompressible. To illustrate the usefulness of the approach, a simple chemical flood model for a ternary, two-phase system is obtained which can be applied to surfactant flooding, polymer flooding, caustic flooding, etc.

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Section: General Multiphase Chemical Flood Equationsmentioning

confidence: 99%

Formulation of a General Multiphase, Multicomponent Chemical Flood Model

Fleming¹,

Thomas²,

Winter³

1981

Society of Petroleum Engineers Journal

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“…The formal derivation of the local volume-averaged transport equations for dispersed, multiphase flows (Slattery, 1967(Slattery, -1970(Slattery, , 1974(Slattery, , 1981Patel et al, 1972;Sha and Slattery, 1980;Lin and Slattery, 1982) was made practical by the development of the theorem for the local volume average of a gradient (Slattery, 1967;Whitaker, 1967;Anderson and Jackson, 1967;Gray and Lee, 1977). Drew (1971) and Bear (1972!…”

Section: Conclusion and Significancementioning

confidence: 99%

A Statistical Structural Model for Unsteady-State Displacement in Porous Media

Aleman-Gomez¹,

Ramamohan²,

Slattery³

1984

Proceedings of SPE Annual Technical Conference and Exhibition

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“…Our primary concern is with averages defined for each phase at every position in the porous media. The approach taken here is to speak in terms of local volume averages at each point in the structure (Slattery, 1967(Slattery, , 1968(Slattery, , 1969(Slattery, , 1970(Slattery, , 1981Patel et al, 1972;Sha and Slattery, 1980; Anderson and Jackson, 1967;Whitaker, 1969Whitaker, , 1973Bear, 1972;Bachmat, 1972;Gray, 1975; Gray and O'Neill, 1976; Gray and Lee, 1977;Hassanizadah and Gray, 1979). …”

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Three-Dimensional, Randomized, Network Model For Two-Phase Flow Through Porous Media

Lin

Slattery²

1981

All Days

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A structural model for a porous medium in the form of a randomized, three-dimensional network is developed that can be used to calculate permeability, capillary pressure as measured under static conditions and during steady-state flows, and relative permeabilities as measured during steady-state flows. This randomized network model, expressed in terms of seven free parameters, can be employed to correlate for a given system the single-phase permeability, the drainage and imbibition capillary pressure curves, and the two drainage relative permeability curves. The subsequent portions of the hysteresis loops for capillary pressure and for the relative permeabilities then can be predicted. The limited data available from the literature for unconsolidated packed beds have been successfully correlated: 100 to 200 mesh sand and uniform 181 μm glass spheres. Data for a bed of sintered 200 μm glass beads also has been successfully described.

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Further discussion of two‐phase flow in porous media

Cited by 8 publications

References 7 publications

Formulation of a General Multiphase, Multicomponent Chemical Flood Model

Formulation of a General Multiphase, Multicomponent Chemical Flood Model

A Statistical Structural Model for Unsteady-State Displacement in Porous Media

Three-Dimensional, Randomized, Network Model For Two-Phase Flow Through Porous Media

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