PetroCalcHubFree
Production EngineeringHydraulic Fracturing

Wellbore Pressure Loss Due to Friction - Turbulent Flow Formula

ΔPwb=fLρv225.80d\Delta P_{wb}=\frac{fL\rho v^2}{25.80d}

Wellbore Pressure Loss Due to Friction - Turbulent Flow calculates wellbore friction pressure loss for hydraulic fracturing workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (f, L, rho, v, d) 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_wb equals 1,779.069767 psi.

fdimensionless

0.006

Lft

5000

rholb/gal

8.5

vft/s

30

din

5

Inputs

f

dimensionless

Fanning Friction Factor

L

ft

Pipe Length

rho

lb/gal

Liquid Density

v

ft/s

Average Velocity

d

in

Inner Diameter of Pipe

Outputs

DeltaP_wb

psi

Wellbore Friction Pressure Loss

f

dimensionless

Fanning Friction Factor

L

ft

Pipe Length

rho

lb/gal

Liquid Density

v

ft/s

Average Velocity

d

in

Inner Diameter of Pipe

Source and review

reviewed

Saydam, T. 1967. Principles of Hydraulic Fracturing. ARI Publishing Co., Page 31.

Source

Related formulas and calculators

Productivity Index and Straight-Line IPR
Inflow Performance
Vogel Inflow Performance Relationship
Inflow Performance
Rawlins-Schellhardt Gas Deliverability Rate
Inflow Performance
Gas Deliverability Pressure-Squared Drawdown
Inflow Performance
Rawlins-Schellhardt Absolute Open Flow Potential
Inflow Performance
Rawlins-Schellhardt Deliverability Coefficient from Test Point
Inflow Performance