Production EngineeringHydraulic Fracturing
Productivity Ratio of Hydraulically Fractured Formation Formula
Productivity Ratio of Hydraulically Fractured Formation calculates productivity ratio of the hydraulically fractured formation for hydraulic fracturing workflows in production engineering.
How engineers use this formula
Use this formula when the listed inputs (k_f, W, k, h, 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, PR_f equals 1.971596 dimensionless.
k_fmD
100000
Wft
0.02
kmD
10
hft
50
r_ein
1000
r_win
4
r_fin
120
Inputs
k_f
mDFracture Permeability
W
ftFracture Thickness
k
mDFormation Permeability
h
ftFormation Thickness
r_e
inDrainage Radius
r_w
inWell Radius
r_f
inFracture Radius
Outputs
PR_f
dimensionless
Productivity Ratio of the Hydraulically Fractured Formation
Source and review
reviewedSaydam, T. 1967. Principles of Hydraulic Fracturing. ARI Publishing Co., Page 7.
Source