Page 68 - Formulas and Calculations for Petroleum Engineering

Reservoir engineering formulas and calculations Chapter 1 61

1.139 Vertical well critical rate correlations—Meyer, Gardner,
and Pirson—Water coning

Input(s)
r o : Oil Density (g/cc)
r g : Gas Density (g/cc)
r e : Radius of Drainage (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 Gas Coning) (STB/day)

Formula(s)
0 1
2
o
g
B r r C k o 2
q ¼ 0:001535 B C h h h
o @ r A m B p
ln e o o
r
w
Reference: Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 8,
Page: 255.
1.140 Vertical well critical rate correlations—Meyer, Gardner,
and Pirson—Gas coning
Input(s)

r o : Oil Density (g/cc)
r g : Gas Density (g/cc)
r e : Radius of Drainage (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 Gas Coning) (STB/day)

Formula(s)
0 1

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