Page 53 - Fundamentals of Reservoir Engineering

CONTENTS LIII

n2 β
−
N p,n = U ∆ p W T − t j D ) + (p n 2 − p n ) (9.43) 335
( D
D
j
−
j0 2
=
1 n2
−
2U
p ∆ p W T − t ) − 2N + β p + α (p + p − p ) (9.44) 335
n= j D ( D j D p,n 1 n 2 wf,n 1 wf,n n 1
−
−
−
−
(α + β ) j0
=
1 1
P = p − p = σ + (10.1) 338
o
c
w
r 1 r 2
p − p = P = ∆ ρ gH (10.2) 341
w
c
o
2σ cosΘ
p − p = P = = ∆ ρ gh (10.3) 341
c
w
o
r
γ
∆
P (S ) = p − p = ρ g cosθ (10.4) 342
c
o
w
w
∆ ρ gy cosθ
P(S ) = (atm) (10.5) 342
w
c
1.0133 10 6
×
P c (S w ) = 0.4335 γ ycosθ (psi) (10.6) 342
∆
q = q + q = q i (10.7) 344
w
o
t
µ µ q µ ∂ P ∆ ρ gsinθ
q =− rw + o = t o + A c − 6 (10.8) 347
w
kk rw kk ro kk ro x ∂ 1.0133 10
×
kk A ∂ P ∆ ρ gsinθ
1+ ro c − 6
q µ o x ∂ 1.0133 10
×
t
f = k (10.9) 347
w
1+ µ w ⋅ ro
k rw µ o
kk A ∂ P
1 1.127 10 − 3 ro c − .4335 ∆ γ sinθ
×
+
q µ o x ∂
t
f = k (10.10) 347
w
1+ µ w ⋅ ro
k rw µ o
∂ P c = dP c ⋅ ∂ S w (10.11) 348
x ∂ dS x ∂
w
1
f = k (10.12) 349
w
1+ µ w ⋅ ro
k rw µ o
∂
q ρ w x − q ρ w xdx = Aφ dx t ∂ (ρ w S ) (10.13) 349
w
w
w
+
∂ ∂
(q ρ w ) =− Aφ (ρ w S ) (10.14) 350
w
w
x ∂ t ∂