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Production engineering formulas and calculations Chapter 4 239
4.76 Recommended underbalanced environment for perforation
Input(s)
k: Formation Permeability (mD)
Output(s)
p u : Underbalance Pressure (psi)
Formula(s)
log 10 p ¼ 3:46055 0:3812 log k
u
10
Reference: Bell, W. T., Sukup, R. A., & Tariq, S. M. (1995). Perforating. Henry L. Doherty Memorial Fund of AIME, Society
of Petroleum Engineers, Page: 74.
4.77 Reynolds number for acid flow into the fracture (acidizing)
Input(s)
3
ρ: Acid Density (lb/ft )
3
i: Injection Rate (ft /min)
μ: Viscosity of the Reacted Acid (lb/ft min)
h g : Formation Thickness (ft)
Output(s)
N Re : Reynolds Number (dimensionless)
Formula(s)
ρi
N ¼
Re
μh
g
Reference: 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.
4.78 Reynolds number for fluid loss (acidizing)
Input(s)
w: Average Fracture Width (ft)
v : Average Fluid Loss Velocity (ft/min)
N
3
ρ: Acid Density (lb/ft )
μ: Viscosity of the Reacted Acid (lb/ft min)
r c : Radius of Wormhole (ft)
Output(s)
N Re : Reynolds Number (dimensionless)

