Page 238 - Formulas and Calculations for Petroleum Engineering

Production engineering formulas and calculations Chapter 4 231

Formula(s)

!
q g q g
2
2
p p 2 ¼ A + B
sf wb
n n
3 !
1:424 10 μ ZðÞ TðÞ r pd
g
A ¼ In
L k r p
p pd
12 !
ð 3:16Þ 10 β γ ZðÞ TðÞ 1 1
pd g
B ¼
L 2 r r
p p pd
10 1:201
β ¼ 2:33ð Þ 10 k
pd
Reference: Bell, W. T., Sukup, R. A., & Tariq, S. M. (1995). Perforating. Henry L. Doherty Memorial Fund of AIME, Society
of Petroleum Engineers, Page: 62.
4.63 Pressure drop across perforations in oil wells

Input(s)
q o : Oil Flow Rate through Perforation (bbl/d)
n: Number of Perforations (dimensionless)
μ o : Oil Viscosity (cP)
B o : Oil Formation Volume Factor (dimensionless)
L p : Perforation Length (ft)
k pd : Perforation Damaged Zone Permeability (mD)
r p : Perforation Radius (ft)
r pd : Perforation Damaged Zone Radius (ft)
3
ρ o : Oil Density (lbm/ft )

Output(s)
Δp p : Pressure Drop across Perforations (psi)
β pd : Velocity Coefficient of Turbulence Factor (1/ft)

Formula(s)

q o q o
2
Δp ¼ A + B
p
n n
!
141:2 μ B r pd
o o
A ¼ In
L k r
p pd p
14 2 !
2:310 β B ρ 1 1
pd o o
B ¼ 2
L r r
p p pd
10
ð 2:33Þ 10
β ¼
pd 1:201
k
pd
Reference: Bell, W. T., Sukup, R. A., & Tariq, S. M. (1995). Perforating. Henry L. Doherty Memorial Fund of AIME, Society
of Petroleum Engineers, Page: 61.