Interpretation - Cased-Hole Log Analysis and Reservoir Performance Monitoring - page 130

The holdup of the heavy phase is therefore given by:

rr
rr

-
-

y h =

ml

h l

Fig. 10.1 Biphasic
flow—Courtesy
Schlumberger

Question #10.1
Oil and water flow together and have a density of 0.8 g/cc.
If the oil has a density of 0.6 g/cc and the water a density of 1.0 g/cc, what is the
water holdup in this flow mixture?
The holdup only tells us what fraction of the cross-sectional area available for
fluid flow is occupied by a particular phase. In order to tell the actual flow rates of
each phase we need additional data, namely, total flow rate, the pipe cross-sectional
area, the tool diameter, and the inter-phase slip velocity. In general, the equations
will be:

QQQ
QyAV
QyAV
VVV
yy

=+
=
=
=+
=+

t h l

h h h

l l l

l h s

1

h l

where:

Q t = total flow rate
Q h = heavy-phase flow rate