Reynolds number for fluid loss (acidizing)

Input(s)

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

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

$\rho$: Acid Density $\left(\mathrm{lb} / \mathrm{ft}^{3}\right)$

$\mu$ : Viscosity of the Reacted Acid (lb/ft min)

$r_{c}$ : Radius of Wormhole $(\mathrm{ft})$

Output(s)

$N_{R e}$: Reynolds Number (dimensionless)

Formula(s)

For Fracture:

$$ \begin{gathered} N_{R e}=\frac{2 \bar{w} \overline{v_{N}} \rho}{\mu} \text { ForWormhole }: \\ N_{R e}=\frac{2 r_{c} \overline{v_{N}} \rho}{\mu} \end{gathered} $$

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: 111.