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Reservoir EngineeringPermeability and Flow

Crossflow Index Formula

CI=NpcfNpncfNpuNpncfCI = \frac{N_{pcf} - N_{pncf}}{N_{pu} - N_{pncf}}

Crossflow Index calculates crossflow index for permeability and flow workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (N_pcf, N_pncf, N_pu) are known and the assumptions behind the cited permeability and flow relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, CI equals 0.5 dimensionless.

N_pcfSTB

8000

N_pncfSTB

6000

N_puSTB

10000

Inputs

N_pcf

STB

Oil Recovery from Layered System with Crossflow

N_pncf

STB

Oil Recovery from Stratified System with No Crossflow

N_pu

STB

Oil Recovery from Uniform System with Average Permeability

Outputs

CI

dimensionless

Crossflow Index

N_pcf

STB

Oil Recovery from Layered System with Crossflow (rearranged)

N_pncf

STB

Oil Recovery from Stratified System with No Crossflow (rearranged)

N_pu

STB

Oil Recovery from Uniform System with Average Permeability (rearranged)

Source and review

reviewed

Willhite, G.P. (1986). Waterflooding, Vol. 3. Richardson, Texas: Textbook Series, SPE, Chapter: 2, Page: 166.

Source

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