Initial Rate Following a Hydraulic Fracturing Operation Formula
Initial Rate Following a Hydraulic Fracturing Operation calculates initial rate following hydraulic fracturing operation for hydraulic fracturing workflows in production engineering.
How engineers use this formula
Use this formula when the listed inputs (Q_pre, k_f, k_e, 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, Q equals 1,301.860652 bbl/d.
500
100000
10
1000
4
120
Inputs
Q_pre
bbl/dRate Before Hydraulic Fracturing Operation
k_f
mDFracture Permeability
k_e
mDAverage Formation Permeability
r_e
inDrainage Radius
r_w
inWellbore Radius
r_f
inFracture Radius
Outputs
Q
Initial Rate Following Hydraulic Fracturing Operation
Q_pre
Rate Before Hydraulic Fracturing Operation
Source and review
reviewedSaydam, T. 1967. Principles of Hydraulic Fracturing. ARI Publishing Co., Page 84.
Source