Page 54 - Principles of Catalyst Development

Part I: Reservoir Engineering Primer 35

c c c
(4.19)
so
£„ B,

where <j> is the porosity and S t is the saturation of phase fi. The saturations satisfy
the constraint
5 O + 4. O 4. P — l 1 //i OA\
o ^w ^g ~ (4,20)
Combining Eqs. (4.6), (4.7) through (4.9), and (4.17) through (4.19) gives a mass
conservation equation for each phase:
Oil
_a_
£££ v Z0
dx dz
(4.21)
a f A 5 '

Water
\
a pwsc
xw -V. yw
dx dz B.
'w /
(4.22)
--Up ~1
q W C
»~ dt( * B 0)
Gas

" I 8&c -. , so"gsc SY/* gsc I
av I B B B i
* \ K O W I
(4.23)
O 'gSC SO^gSC SW'gSC I
a _ _ ^ _ ^^ _ z^ ^
O2T JD jD /> 1

a/