Page 37 - Fundamentals of Reservoir Engineering

CONTENTS XXXVII

k o (S w) = kk ro (S w) or k o (S w) = k o (S w = S wc) K ro (S w) (4.33) 120

k ro K ro (4.34) 120
k = K
rw rw
kk
λ = r (4.35) 121
µ

Mobility of the displacing fluid k/ µ
′
M = = rd d (4.36) 122
Mobility of the displaced fluid k/ µ o
′
ro
1 ∂ kρ ∂ p = φρ ∂ p (5.1) 127
r
c

r ∂ r µ r ∂ t ∂
ρ
∂ (q ) ∂ ρ
πφ
= 2rh (5.2) 128
r ∂ t ∂
1 ∂ kρ ∂ p ∂ ρ
ρ = φ (5.3) 128
rr ∂ µ r ∂ t ∂

m
∂
ρ ρ 1 ρ∂
c =− = (5.4) 129
m ∂ ρ ρ ∂ p

∂ p ∂ ρ
cρ = (5.5) 129
t ∂ t ∂
∂ p
= 0at r = r e (5.6) 130
r ∂

∂ p
≈ constant, for all r and t. (5.7) 130
t ∂

dp dV
cV =− =− q (5.8) 131
dt dt
dp q
or =− (5.9) 131
dt cV

dp q (5.10) 131
2
dt =− cr hφ
π
e
pV i
i
p res = i (5.11) 131
V i
i

(5.12) 132
q i ∝ V i
pq i
i
p res = i (5.13) 132
q i
i