Finite-Conductivity Fracture Effective Wellbore Radius Formula
Finite-Conductivity Fracture Effective Wellbore Radius calculates effective wellbore radius for finite-conductivity fracture for well performance workflows in reservoir engineering.
How engineers use this formula
Use this formula when the listed inputs (k_f, b_f, k, x_f) are known and the assumptions behind the cited well performance 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, r_we equals 0.070175 ft.
5000
0.005
100
500
Inputs
k_f
mDFracture Permeability
b_f
ftFracture Width
k
mDFormation Permeability
x_f
ftFracture Half-Length
Outputs
r_we
Effective Wellbore Radius for Finite-Conductivity Fracture
F_CD
Dimensionless Fracture Conductivity
k_f
Fracture Permeability
b_f
Fracture Width
k
Formation Permeability
Source and review
reviewedJoshi, S.D. 1991. Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter 5, Page 135.
Source