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Production EngineeringHydraulic Fracturing

Frictional Pressure Drop - Economides and Nolte Formula

ΔPf=518ρ0.79q1.79μ0.207L1000D4.79\Delta P_f=\frac{518\rho^{0.79}q^{1.79}\mu^{0.207}L}{1000D^{4.79}}

Frictional Pressure Drop - Economides and Nolte calculates frictional pressure drop for hydraulic fracturing workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (rho, q, mu, L, 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_f equals 5,761.853378 psi.

rhog/cm3

1.05

qbbl/min

30

mucP

20

Lft

10000

Din

4

Inputs

rho

g/cm3

Fluid Density

q

bbl/min

Injection Rate

mu

cP

Fluid Viscosity

L

ft

Tubing Length

D

in

Tubing Diameter

Outputs

DeltaP_f

psi

Frictional Pressure Drop

q

bbl/min

Injection Rate

rho

g/cm3

Fluid Density

mu

cP

Fluid Viscosity

L

ft

Tubing Length

D

in

Tubing Diameter

Source and review

reviewed

Petroleum Production Engineering: A Computer-Assisted Approach, Guo, B., Lyons, W.C., Ghalambor, A. (2007)

Guo, B., Lyons, W.C. and Ghalambor, A. 2007. Petroleum Production Engineering: A Computer-Assisted Approach, Page 16/246.

Source

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