Page 70 - Principles of Catalyst Development

Part I: Reservoir Engineering Primer 51

The integral of Eq. (6.17) with respect to time gives the frontal advance.

6.2 Frontal Advance Including Gravity

Gravity is included in the analysis of frontal advance in a dipping reservoir
(Figure 6-1) by replacing phase pressure in Eqs. (6.1) through (6.6) with phase

Figure 6-1. Geometry of Frontal Advance

potential
= - p (gxsm&
<J> ; P f
The resulting equations for phase potentials are

(6.18)
0,0<x<x f
dx 2
2
d ®
-> — \J) A 7 f 'X J*. ^, JL^ (6.19)
5jc
The phase potentials at the flood front are related by

with continuity of phase velocities