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# Standing’s Relative Permeability Correlation (Part 3—Imbibition Theory) - PowerPoint PPT Presentation

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 PermeabilityCorrelation (Part 3—Imbibition Theory)

• 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.

• 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.

Hysteresis and (Land)Trapping Constant

• Determination of Sor,max

• after Geffen et al.

• Consider Standing’s Eqs. 22 and 24.

• At irreducible wetting phase saturation (drainage)

• For the Geffen et al data, calculate the trapping constant, C, given the irreducible wetting (water) saturation, Siw=0.20

S (Land)oi=0.31

Sor0.23

Trapping Example

• Given C=0.86, calculate Sor when Soi=0.31

Imbibition Relationships, (Land)Non-wetting Phase

Imbibition Relationships, (Land)Wetting Phase

• 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