Page 120 - Fundamentals of Enhanced Oil and Gas Recovery

108 Pouria Behnoudfar et al.

By substituting Y into Eq. (4.9),wehave
Y
MMP 5 0:11027 3 1:8 3 T R 132ð Þ 5 31:217 MPa, from Eq. (4.9)

4.3.2.2 Lee [34]
Lee [34] suggested a mathematical correlation as a function of reservoir temperature
(T R ) which is as follows:
MMP 5 7:3924 3 10 b (4.11)

where

1519
b 5 2:772 2 (4.12)
492 1 1:8 3 T R

in which, T R and MMP indicate the reservoir temperature in C and minimum mis-
cibility pressure in MPa, respectively. If MMP is less than bubble point pressure, bub-
ble point pressure will be taken as MMP.

Example 4.4: Calculate the MMP by using Eq. (4.11) for the given data in Example 4.3.

Solution: At first, exponent b has to be calculated as follows:

1519
b 5 2:772 2 5 0:38
492 1 1:8 3 T R
from Eq. (4.12)
By substituting b into Eq. (4.11),wehave
b
MMP 5 7:3924 3 10 5 17:882 MPa
from Eq. (4.11)

4.3.2.3 Yellig and Metcalfe [35]
Yellig and Metcalfe [35] developed a mathematical correlation as a function of reser-
voir temperature (T R ) which is as follows:

MMP 5 12:6472 1 0:015531 3 ð1:8 3 T R 1 32Þ 1 1:24192 3 10 24
716:9427
2
3 ð1:8 3 T R 132Þ 2 (4.13)
1:8 3 T R 1 32
in which, T R and MMP indicate the reservoir temperature in C and minimum mis-

cibility pressure in MPa, respectively. This correlation is developed based on the