Page 155 - Fundamentals of Enhanced Oil and Gas Recovery

143
Thermal Recovery Processes

ð N 1 1
dq 5 dq 2 dq r 5 kgsinθ 2 dξ (5.5)
0 ν ν R
The other possibility is to have integral limit up to ξ max , beyond which no
drainage is practically happening.
m

ν s 5 T2T R (5.6)
ν T s 2T R m 5 3 2 4ðtypicallyÞ
ð N
1 1 α 1
ν 2 dξ 5 (5.7)
0 ν R U mν s
Kgαsinθ
q 5 (5.8)
mν s U

5.2.1.1 SAGD-Material Balance
The flow into an incremental element is less than that leaving the element; the
difference determines the rate of interface advancement.

dy
dq 5 φΔS o dx (5.9)
t
dt
x
dq dy

5 φΔS o (5.10)
dx dt
t x

dy=dt interface velocity U and inclination angle θ.
x
Determining interface velocity in SAGD:

dy
U 52cosθ (5.11)
dt
x

dy
, 0 (5.12)
dt
x
dy
tanθ 5 (5.13)
dx
SAGD-interface advancement velocity is calculated as
Kgαsinθ
q 5 (5.14)
mν s U
Kgαsinθ
q 52 (5.15)
mν s cosθ @y
@t