Page 56 - Formulas and Calculations for Petroleum Engineering

Reservoir engineering formulas and calculations Chapter 1 49

Formula(s)
0:5
A

r ¼
e
p
0:5

h k h
s ¼ s
m
L k
v

L
s ¼ ln
f
4 r
w
h
0:007078 k
m B o
o
J ¼
h
r
ln e A + s + s + s CAh C + D q
m
f
r
w
Reference: Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 7,
Page: 221.
1.112 Pseudo-steady state productivity of horizontal Wells—Method 2
Input(s)
m o : Viscosity of Oil (cP)
B o : Oil Formation Volume (RB/STB)
2
A t : Horizontal Well Drainage Area in the Vertical Plane ¼ 2 y_eh (ft )
s R : Skin Factor Due to Partial Penetration of Horizontal Well (dimensionless)
x e : Half Length of the Short Side of the Rectangular Drainage Area (ft)
y e : Half Length of the Long Side of the Rectangular Drainage Area (ft)
y w : Distance from the Horizontal Well to the Closest Boundary in Y Direction (ft)
h: Thickness of Reservoir (ft)
k v : Vertical Permeability (mD)
k y : Horizontal Permeability (mD)
r w : Radius of Wellbore (ft)
z w : Vertical Distance between Horizontal Well and Bottom Boundary of Reservoir (ft)

Output(s)
InC h : A Constant Related to the Natural Logarithm of Shape Factor (dimensionless)
J h : Pseudo-steady State Productivity of Horizontal Wells (bbl/day/psi)

Formula(s)
0:5 0 0:5 1
! 2 ! !
y e k v 1 y w y w z w y e k v

InC ¼ 6:28 2 + ln sin 180 0:5 ln @ 2 A
h
h k 3 2 y 2 y h h k
y e e y
1:088
0:5
k *k
y v
m B o
o
J ¼ 0:007078 2 x
h e 0:5 !
A
ðÞ
t
ln + InC 0:75 + s R
h
r
w
Reference: Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 7,
Page: 22.