Page 54 - Fundamentals of Reservoir Engineering

CONTENTS LIV

∂ q w =− Aφ ∂ S w (10.15) 350
x ∂ t t ∂ x

∂ S w =− ∂ S w dx (10.16) 350
t ∂ x x ∂ t dt S w

∂ q w = ∂ q w ⋅ ∂ S (10.17) 350
w

x ∂ t ∂ S w x ∂
t
∂ q w = Aφ dx (10.18) 350
∂ S w t dt S w

dx q df
v S w = dt S w = A dS w w S w (10.19) 351
t
φ

W df
x S = i w (10.20) 351
w
Aφ dS w S w
kk A ∆ ρ gsinθ
1− ro
q µ o 1.0133 10 6
×
t
f = k (10.21) 352
w
1+ µ w ⋅ ro
k rw µ o
W 1
S w − S wc = i = (10.22) 353
xAφ df w
2
dS
w S
wf
X 2
1
−
(1 S )x + S dx
w
or
S W = X 1 (10.23) 353
x 2
df S wf df
(1 S ) w + S w d w
−
or
−
−
S w = dS w 1S or 1S or dS w (10.24) 354
df w
dS w S wf
df
S w = S + ( 1 f w S wf ) dS w w S wf (10.25) 354
−
wf

−
df w (1 f w S wf ) 1 (10.26) 354
dS w S wf = S − S wf = S − S we
w
w
W i = 1 = W (10.27) 355
LAφ df w id
dS
w S
we