1. Please prove that the expression of “a” and “b” for van der Waals EOS in Table C1 of the composition model lectures are correct.
2. Starting with Equation C3, show the derivation of Equation C4.
3. A hydrocarbon mixture entering a separator has the following feed composition.
Components |
Moles, (mol) |
B.P. (˚F) |
M (lbm/lbmole) |
Pc (psia) |
Tc (˚F) |
ω |
Nitrogen |
0.13 |
- |
28.02 |
493 |
-232.4 |
0.04 |
CO2 |
0.18 |
- |
44.01 |
1070.6 |
87.9 |
0.23 |
Methane |
50 |
- |
16.04 |
667.8 |
-116.6 |
0.01 |
Ethane |
15 |
- |
30.07 |
707.8 |
90.1 |
0.1 |
Propane |
12 |
- |
44.1 |
616.3 |
206 |
0.15 |
i-Butane |
5 |
- |
58.12 |
529.1 |
275 |
0.18 |
n-Butane |
3 |
- |
58.12 |
550.7 |
305.7 |
0.19 |
i-Pentane |
1 |
- |
72.15 |
490.4 |
369.1 |
0.23 |
n-Pentane |
3 |
- |
72.15 |
488.6 |
385.7 |
0.25 |
Hexane |
4.25 |
- |
86.18 |
436.9 |
453.7 |
0.3 |
Heptane + |
6.44 |
355 |
143 |
350 |
650 |
0.38 |
4. Using your program (or Pipesim / PVTsim), calculate oil and gas densities at standard conditions. Convert oil density to API index and gas density to a specific gas gravity (sgg). Using API index and sgg, find at separator conditions 1000 psia and 90 ˚F (provide result for 3 correlations of your choice):
Physical Property | Correlation(s) |
Solution Gas Oil Ratio, Rs (scf/STBO) |
Standing Vazquez and Beggs Glaso Lasater Al-Marhoun Kartoatmodjo |
Oil Formation Volume Factor, Bo (bbl/STBO) |
Vazquez and Beggs Standing Glaso Al-Marhoun Kartoatmodjo |
Specific Gravity of Dissolved Gas, γg | Mass balance equation |
Specific Gravity of Free Gas, γg | Mass balance equation |
Live Oil Density, ρo (lbm/cu ft) | Mass balance equation |
You may find it useful to have:
Reservoir temperature, [F] |
123 |
Reservoir pressure, [psia] |
2500 |
Oil produced, [STB/D] |
175 |
Gas produced, [MMSCF/D] |
0.5 |
5. Compare and discuss the oil density results from your compositional and black oil models.
Remarks
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