Page 47 - Fundamentals of Reservoir Engineering

CONTENTS XLVII

1422 TQ r 3
() m
mp − (p wf ) = ln e − + S + FQ 2 (8.25) 255
kh r w 4

1422 TQ r 3
= ln e − + S + DQ (8.26) 255
kh r w 4

Fkh
D = (8.27) 255
1422T

constant
β = (8.28) 256
k α

constant
β = α (8.29) 256
(kk rg )

711QT 4t
() mp
mp − ( ) = ln D + 2S′ (8.30) 257
i
wf
kh γ
kh
() mp
t
+
(mp − ( )) = m () S′ (8.31) 257
1422QT i wf D D
4t
m D () = 1 2 ln D (8.32) 258
t
D
γ
4A
t
m D () = 1 2 ln + 2 π t DA (8.33) 258
D
γ Cr 2
Aw
1 ∂ r ∂ m = ∂ m D (8.34) 258
D

r ∂ r D D r ∂ D t ∂ D
D
4t
t
t
m D () = 2π t DA + 1 2 ln D − 1 2 m DMBH ( DA ) (8.35) 258
D
γ ( )
kt (hrs )
t DA = 0.000264 (8.36) 258
φµ cA
kh *
( )
t
m DMBH ) ( DA ) = 711QT mp − mp (8.37) 259
()
(
kh ( ) ) m D t 1 ln 4A S′ (8.38) 259
() mp
+
D
1422QT mp − ( wf = () S′ = 2 γ Cr 2 +
Aw
kh ( mp m n Q m t t ) Q S′ (8.39) 260
=
i
1422T () − (p wf n ) ) ∆ j D ( D n − D j 1 + n n
−
j1
=