Page 223 - Fundamentals of Enhanced Oil and Gas Recovery

Waterflooding 211

For the simplest case of horizontal flow, with negligible capillary pressure, the
expression reduces to
1
f w 5 (7.20)
1 1 k ro μ =μ k rw
w o

7.3 DERIVATION OF CONTINUITY EQUATION FOR DISPLACEMENT
FRONT OF RADIAL DISPLACEMENT SYSTEM

Fig. 7.3 depicts a circular reservoir with the planar and lateral view of the radial
flow system. Darcy’s equation for estimating oil and water flow rates can be calculated
using

ð
kk ro @ AP o Þ
q o 5 (7.21)
μ o @r

Figure 7.3 Reservoir geometry in (A) plan views and (B) lateral view [1].