Reynolds number for fluid loss (acidizing)

Input(s)

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

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

ρ\rho: Acid Density (lb/ft3)\left(\mathrm{lb} / \mathrm{ft}^{3}\right)

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

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

Output(s)

NReN_{R e}: Reynolds Number (dimensionless)

Formula(s)

For Fracture:

NRe=2wˉvNρμ ForWormhole :NRe=2rcvNρμ\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.


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