Peclet number for fluid loss (acidizing)

Input(s)

$\bar{w}$: Average Fracture Width $(\mathrm{ft})$

$\overline{v_{N}}$ : Average Fluid Loss Velocity (ft/min)

$D_{e}^{\infty}$ : Effective Diffusivity $\left(\mathrm{ft}^{2} / \mathrm{min}\right)$

Output(s)

$N_{P e^{*}}$: Peclet Number (dimensionless)

Formula(s)

$$ N_{P e^{*}}=\frac{\bar{w} \overline{v_{N}}}{2 D_{e}^{\infty}} $$

Reference(s)

Williams, B. B., Gidley, J. L., \& Schechter, R. S. (1979). Acidizing fundamentals. Henry L. Doherty Memorial Fund of AIME, Society of Petroleum Engineers of AIME, Page: 62.