Production EngineeringHydraulic Fracturing
Annulus Pressure Loss Due to Friction - Turbulent Flow Formula
Annulus Pressure Loss Due to Friction - Turbulent Flow calculates pressure loss due to friction for hydraulic fracturing workflows in production engineering.
How engineers use this formula
Use this formula when the listed inputs (f, L, rho, v, d_0, d_i) 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 2,541.528239 psi.
fdimensionless
0.006
Lft
5000
rholb/gal
8.5
vft/s
30
d_0in
8.5
d_iin
5
Inputs
f
dimensionlessFriction Factor
L
ftLength
rho
lb/galFluid Density
v
ft/sFluid Velocity
d_0
inInner Diameter of Outer Pipe
d_i
inOuter Diameter of Inner Pipe
Outputs
DeltaP_f
psi
Pressure Loss Due to Friction
f
dimensionless
Friction Factor
L
ft
Length
rho
lb/gal
Fluid Density
v
ft/s
Fluid Velocity
d_0
in
Inner Diameter of Outer Pipe
d_i
in
Outer Diameter of Inner Pipe
Source and review
reviewedPetroleum Engineers formula repository. Annulus pressure loss due to friction: turbulence.
Source