Annulus Pressure Loss Due to Friction During Hydraulic Fracturing - Laminar Flow Formula
Annulus Pressure Loss Due to Friction During Hydraulic Fracturing - Laminar Flow calculates annulus friction pressure loss for hydraulic fracturing workflows in production engineering.
How engineers use this formula
Use this formula when the listed inputs (v, L, d_0, d_i, mu_p, tau_y) 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, DeltaP_f equals 311.22449 psi.
20
5000
8.5
5
25
15
Inputs
v
ft/sAverage Fluid Velocity
L
ftPipe Length
d_0
inInner Diameter of Outer Pipe
d_i
inOuter Diameter of Inner Pipe
mu_p
cPPlastic Viscosity
tau_y
lb/100 ft2Yield Point of the Liquid
Outputs
DeltaP_f
Annulus Friction Pressure Loss
gap
Annular Diameter Difference
v
Average Fluid Velocity
L
Pipe Length
mu_p
Plastic Viscosity
tau_y
Yield Point of the Liquid
d_0
Inner Diameter of Outer Pipe
d_i
Outer Diameter of Inner Pipe
Source and review
reviewedPrinciples of Hydraulic Fracturing, Saydam, T. (1967)
Saydam, T. 1967. Principles of Hydraulic Fracturing, ARI Publishing Co., Page 31.
Source