PetroCalcHubFree
Production EngineeringHydraulic Fracturing

Average Permeability of Hydraulically Fractured Formation Formula

kavg=kkavgzln(re/rw)kavgzln(re/rf)+kln(rf/rw)k_{avg}=\frac{kk_{avgz}\ln(r_e/r_w)}{k_{avgz}\ln(r_e/r_f)+k\ln(r_f/r_w)}

Average Permeability of Hydraulically Fractured Formation calculates average permeability of the hydraulically fractured formation for hydraulic fracturing workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k_avgz, k, r_e, r_w, r_f) 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, k_avg equals 22.441467 mD.

k_avgzmD

100

kmD

10

r_ein

1000

r_win

4

r_fin

120

Inputs

k_avgz

mD

Average Permeability of the Hydraulically Fractured Zone

k

mD

Formation Permeability

r_e

in

Drainage Radius

r_w

in

Well Radius

r_f

in

Fracture Radius

Outputs

k_avg

mD

Average Permeability of the Hydraulically Fractured Formation

Source and review

reviewed

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

Source

Related formulas and calculators

Productivity Index and Straight-Line IPR
Inflow Performance
Vogel Inflow Performance Relationship
Inflow Performance
Rawlins-Schellhardt Gas Deliverability Rate
Inflow Performance
Gas Deliverability Pressure-Squared Drawdown
Inflow Performance
Rawlins-Schellhardt Absolute Open Flow Potential
Inflow Performance
Rawlins-Schellhardt Deliverability Coefficient from Test Point
Inflow Performance