Production EngineeringHydraulic Fracturing

Peclet Number for Fluid Loss - Acidizing Formula

N_{Pe}=\frac{\bar{w}\bar{v}_N}{2D_e^{\infty}}

Peclet Number for Fluid Loss - Acidizing calculates peclet number for fluid loss for hydraulic fracturing workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (w_avg, v_N_avg, D_e_inf) 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, N_Pe equals 2.5 dimensionless.

w_avgft

0.05

v_N_avgft/min

0.01

D_e_infft^2/min

0.0001

Inputs

w_avg

Average Fracture Width

v_N_avg

ft/min

Average Fluid Loss Velocity

D_e_inf

ft^2/min

Effective Diffusivity

Outputs

N_Pe

dimensionless

Peclet Number for Fluid Loss

w_avg

Average Fracture Width

v_N_avg

ft/min

Average Fluid Loss Velocity

D_e_inf

ft^2/min

Effective Diffusivity

Source and review

reviewed

Williams, B.B., Gidley, J.L. and Schechter, R.S. 1979. Acidizing Fundamentals. Henry L. Doherty Memorial Fund of AIME, Society of Petroleum Engineers of AIME, Page 62.

Source