Page 36 - Fundamentals of Reservoir Engineering

CONTENTS XXXVI

kA dp
×
q =− 1.127 10 − 3 (stb / d) (4.17) 108
µ dl
o
kA dp
1.127 10
q =− × − 3 + 0.4335 γ sinθ (4.18) 110
µ B o dl

RT p Zdp
Φ= + gz (4.19) 111
M p b p

RT Z dp
+
dΦ= dp gdz = + gdz (4.20) 111
Mp ρ
dΦ = 1 dp + g dz (4.21) 111
dl ρ dl dl

kA dΦ kA dψ
ρ
q =− =− (4.22) 111
µ dl µ dl
kA dp
q = (4.23) 113
µ dr

qµ r
pp wf = ln (4.24) 113
−
2kh r w
π
qµ r e
p − p wf = ln (4.25) 113
e
2kh r w
π
qµ
∆ p skin = S (4.26) 114
2kh
π
qµ r
p − p wf = ln e + S (4.27) 114
e
2kh r w
π
qB r
µ
p − p wf = 141.2 o In e + S (4.28) 114
e
kh r w
q oil rate (stb / d)
PI = =
p − p wf pressure drawdown (psi)
e
3
7.08 10 kh (4.29) 115
−
×
=
r
µ B o ln e + S
r w
k(S ) k(S )
k(S ) = o w and k (S ) = w w (4.30) 118
w
w
rw
ro
k k
k′ = k (at S = 1 S ) (4.31) 119
−
rw rw w or
k (S) k (S)
K(S ) = o w and K (S ) = w w (4.32) 120
rw
w
w
ro
k(S = S ) k (S = S )
w
wc
o
w
o
wc