Cristin-resultat-ID: 1482485
Sist endret: 20. november 2017 12:58
NVI-rapporteringsår: 2017
Resultat
Vitenskapelig artikkel
2017

A Novel Relative Permeability Model Based on Mixture Theory Approach Accounting for Solid-fluid and Fluid-fluid Interactions

Bidragsytere:
  • Dag Chun Standnes
  • Steinar Evje og
  • Pål Østebø Andersen

Tidsskrift

Transport in Porous Media
ISSN 0169-3913
e-ISSN 1573-1634
NVI-nivå 2

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2017
Publisert online: 2017
Trykket: 2017
Volum: 119
Hefte: 3
Sider: 707 - 738

Importkilder

Scopus-ID: 2-s2.0-85026834909

Beskrivelse Beskrivelse

Tittel

A Novel Relative Permeability Model Based on Mixture Theory Approach Accounting for Solid-fluid and Fluid-fluid Interactions

Sammendrag

A novel model is presented for estimating steady-state co- and counter-current relative permeabilities analytically derived from macroscopic momentum equations originating from mixture theory accounting for fluid–fluid (momentum transfer) and solid–fluid interactions (friction). The full model is developed in two stages: first as a general model based on a two-fluid Stokes formulation and second with further specification of solid–fluid and fluid–fluid interaction terms referred to as R i Ri (i = water, oil) and R, respectively, for developing analytical expressions for generalized relative permeability functions. The analytical expressions give a direct link between experimental observable quantities (end point and shape of the relative permeability curves) versus water saturation and model input variables (fluid viscosities, solid–fluid/fluid–fluid interactions strength and water and oil saturation exponents). The general two-phase model is obeying Onsager’s reciprocal law stating that the cross-mobility terms λ wo λwo and λ ow λow are equal (requires the fluid–fluid interaction term R to be symmetrical with respect to momentum transfer). The fully developed model is further tested by comparing its predictions with experimental data for co- and counter-current relative permeabilities. Experimental data indicate that counter-current relative permeabilities are significantly lower than corresponding co-current curves which is captured well by the proposed model. Fluid–fluid interaction will impact the shape of the relative permeabilities. In particular, the model shows that an inflection point can occur on the relative permeability curve when the fluid–fluid interaction coefficient I>0 I>0 which is not captured by standard Corey formulation. Further, the model predicts that fluid–fluid interaction can affect the relative permeability end points. The model is also accounting for the observed experimental behavior that the water-to-oil relative permeability ratio k ^ rw /k ^ ro k^rw/k^ro is decreasing for increasing oil-to-water viscosity ratio. Hence, the fully developed model looks like a promising tool for analyzing, understanding and interpretation of relative permeability data in terms of the physical processes involved through the solid–fluid interaction terms R i Ri and the fluid–fluid interaction term R.

Bidragsytere

Dag Chun Standnes

  • Tilknyttet:
    Forfatter
    ved Institutt for energi- og petroleumsteknologi ved Universitetet i Stavanger

Steinar Evje

  • Tilknyttet:
    Forfatter
    ved Institutt for energi- og petroleumsteknologi ved Universitetet i Stavanger

Pål Østebø Andersen

  • Tilknyttet:
    Forfatter
    ved Institutt for energi- og petroleumsteknologi ved Universitetet i Stavanger
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