Page 67 - Formulas and Calculations for Petroleum Engineering

60 Formulas and calculations for petroleum engineering

1.137 Vertical well critical rate correlations—Hoyland, Papatzacos, and
Skjaeveland—Isotropic reservoirs

Input(s)
h: Oil Column Thickness (m)
h p : Perforated Interval (m)
re: Drainage Radius (m)
k o : Effective Oil Permeability (mD)
3
r w : Water Density (kg/m )
mo: Oil Viscosity (cP)
3
r o : Oil Density (kg/m )
Bo: Oil Formation volume Factor (RB/STB)

Output(s)
3
Q oc : Critical Rate (m /day)

Formula(s)

! 1:325
2
ð r r Þ ko hp 2:238 1:99
w
o
Qoc ¼ 1 h ln reðÞð Þ
Bo mo 10822 h
Reference: Horizontal Well Technology, Joshi, Page: 257.

1.138 Vertical well critical rate correlations—Meyer, Gardner,
and Pirson—Simultaneous gas and water coning

Input(s)

r o : Oil Density (g/cc)
r w : Water Density (g/cc)
r e : Drainage Radius (ft)
r w : Radius of Wellbore (ft)
h p : Thickness of Perforated Interval (ft)
h: Oil Column Thickness (ft)
m o : Oil Viscosity (cP)
B o : Oil Formation Volume Factor (RB/STB)
k o : Effective Oil Permeability (mD)

Output(s)

q o : Critical Rate (Maximum Oil Rate without Water Coning) (STB/day)

Formula(s)

k
2
w
r r o o 2
q ¼ 0:001535 h h p
o
r
o
ln e m B o
r
w
Reference: Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 8,
Page: 255.