Standing s relative permeability correlation part 3 imbibition theory
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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

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


Relative permeability hysteresis
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
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.



Hysteresis and trapping constant
Hysteresis and (Land)Trapping Constant

  • Determination of Sor,max

    • after Geffen et al.


Trapping constant example
Trapping Constant - Example (Land)

  • Consider Standing’s Eqs. 22 and 24.

  • At irreducible wetting phase saturation (drainage)


Trapping constant example1
Trapping Constant - Example (Land)

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


Trapping example

S (Land)oi=0.31

Sor0.23

Trapping Example

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


Imbibition relationships non wetting phase
Imbibition Relationships, (Land)Non-wetting Phase


Imbibition relationships wetting phase
Imbibition Relationships, (Land)Wetting Phase


Summary of imbibition relative permeability relationships
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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