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

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

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

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.

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.

Trapped Gas Saturation (Land)

Hysteresis and (Land)Trapping Constant

- Determination of Sor,max
- after Geffen et al.

Trapping Constant - Example (Land)

- Consider Standing’s Eqs. 22 and 24.
- At irreducible wetting phase saturation (drainage)

Trapping Constant - Example (Land)

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

Imbibition Relationships, (Land)Non-wetting Phase

Imbibition Relationships, (Land)Wetting Phase

Summary of Imbibition Relative Permeability Relationships (Land)

- 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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