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Standing’s Relative Permeability Correlation (Part 3—Imbibition Theory)

Standing’s Relative Permeability Correlation (Part 3—Imbibition Theory). Relative Permeability Hysteresis. Drainage: Capillary and viscous forces operate in the same direction.

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Standing’s Relative Permeability Correlation (Part 3—Imbibition Theory)

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  1. Standing’s Relative PermeabilityCorrelation (Part 3—Imbibition Theory)

  2. Relative Permeability Hysteresis • Drainage: Capillary and viscous forces operate in the same direction. • Imbibition: Capillary and viscous forces operate in opposite directions, resulting in a portion of the non-wetting phase becoming trapped and unable to move.

  3. Calculation of Non-wetting Phase Relative Permeability (Land) • Basis: Correct for amount of “trapped” phase. Use resulting “free” saturation for the calculations. • Equations written for a gas-water two-phase system, gas is non-wetting phase. Applies oil-water system if it is strongly water-wet.

  4. Trapped Gas Saturation

  5. Hysteresis andTrapping Constant • Determination of Sor,max • after Geffen et al.

  6. Trapping Constant - Example • Consider Standing’s Eqs. 22 and 24. • At irreducible wetting phase saturation (drainage)

  7. Trapping Constant - Example • For the Geffen et al data, calculate the trapping constant, C, given the irreducible wetting (water) saturation, Siw=0.20

  8. Soi=0.31 Sor0.23 Trapping Example • Given C=0.86, calculate Sor when Soi=0.31

  9. Imbibition Relationships,Non-wetting Phase

  10. Imbibition Relationships,Wetting Phase

  11. Summary of Imbibition Relative Permeability Relationships • Preparation • pc vs Sw Swir & l ………….eq. 2 • C….…………………………….eq. 24 • Imbibition Relative Permeability [kbase = kabs] • krw]imb…..……………………...eq. 35 • krnw]imb…………………………eq. 33 x kro • kro………………………………eq. 9 • Sm ………………………………eq. 10 • Sg*F….………………………….eq. 31 • Sg*r….………………………….eq. 32

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