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Productivity Ratio from Average Permeability - Hydraulic Fracturing Formula

PR=kavgkPR=\frac{k_{avg}}{k}

Productivity Ratio from Average Permeability - Hydraulic Fracturing calculates productivity ratio for hydraulic fracturing workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k_avg, k) are known and the assumptions behind the cited hydraulic fracturing 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, PR equals 2.5 dimensionless.

k_avgmD

25

kmD

10

Inputs

k_avg

mD

Average Permeability of Hydraulically Fractured Formation

k

mD

Formation Permeability

Outputs

PR

dimensionless

Productivity Ratio

k_avg

mD

Average Permeability of Hydraulically Fractured Formation

k

mD

Formation Permeability

Source and review

reviewed

Saydam, T. 1967. Principles of Hydraulic Fracturing. ARI Publishing Co., Page 7.

Source

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