Page 57 - Fundamentals of Reservoir Engineering

CONTENTS LVII

kk′ rg A ∆ ρ g sinθ q
G = = crit (M 1) (10.61) 380
−
6
1.0133 10 µ g q t q t
×
dP c = .4335 (1.04−.81) dz = 0.1 dz (10.62) 382
h
S(z)dz
w
S w = 0 (10.63) 382
h
h
k(S (z))dz
w
rw
k(S w ) = 0 (10.64) 383
rw
h
h
k(S (z))dz
w
ro
k(S o ) = 0 (10.65) 383
ro
h
∆ ρ g h
°
°
°
p − p = P = P + 6 − z (atm) (10.66) 388
c
w
c
o
1.0133 10 2
×
h
°
°
°
p − p = P = P + 0.4335 ∆ γ − z (psi) (10.67) 388
c
c
w
o
2
∆ ρ g h
°
P = 1.0133 10 6 2 − z 1 S or (10.68) 388
c
−

×
h
°
P = 0.4335 ∆ γ − z 1 S or (10.69) 388
c
−
2
°
P = 0.1 ( 20 z− 1 S or ) (10.70) 388
c
−
h S w + h φ S w + h φ S w
φ
S w = 1 1 1 22 2 33 3 (10.71) 393
3
hφ
ii
j1
=
n N
h(1 S )+ h S wc j
φ
φ
−
j j
or
j j
j
S w = j1 N j n 1 (10.72) 396
=
= +
n
hφ
jj
j1
=
n N
k rw (S ) = hk k′ n hk (10.73) 396
w
j j
n
n
j jrw
j1 j 1
=
=
N N
k(S w ) = hk k′ n hk (10.74) 397
ro
n
j j
j jro
n
jn 1 j 1
=+
=
q ∆ f
v = j t w (10.75) 401
j
whφ ∆ S w j
jj