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.