ekhodapanah@yahoo.com

tabatabaei@sut.ac.ir

(IMPECS)

(SAFT)

CO2

SAFTChebyshev

Ni

Va

[Ting, 2003]

[1]

(EOR)

CO2N2

[2]

[3-5]

[6,7]

(SAFT)

SAFT

[8]SAFT

Wertheim[9,10](TPT)

1 Statistical Associating Fluid Theory 2 Thermodynamic Perturbation Theory

[8, 11-13]SAFT

SAFT

SAFT

SAFT

SAFT

SAFT

[14]SAFT

SAFT

SAFT

Chebyshev

[16]

(PVT)

PVT

[16-18]PVT

1 Segments 2 Group Contribution

PVT[16-18]

(CCE)

(CVD)CCE

PVT

[16-18]

SAFTSAFT

1 Bubble Point 2 Upper and Lower Dew Points 3 Constant Composition Expansion 4 Differential Liberation 5 Swelling Test 6 Constant Volume Depletion 7 Residual Helmholtz Energy 8 Square Well Potential

[Prausnitz et al., 199]

SAFT

SAFT

SAFT

[19, 20]

[19, 20]

SAFT

Chebyshev[21]

[15]Chebyshev

SAFT

Chebyshev

SAFT

(QNSS)

1 Gaussian quadrature 2 Quasi Newton Successive Substitution

SAFTN2CO2C1C20GrossSadowski

[22]

(tuning)

Darcy

1

1 Hydrocarbon

Peaceman

[23]

(WOC)WOC

(GOC)GOCWOC

WOC

restart

1 Initialization 2 Water Oil Contact 3 Gas Oil Contact

CO2

psia

17×17×1

11×1117×17

25×25 33×33

25×25

33×33

33×33

CO2

md

UAOP

CO2

Dimension (ft)

2639 Length

2639 Width

15 Thickness

30 Absolute Permeability (md)

0.02 Porosity

0 The Coefficient of Compressibility (psia-1)

2466 Initial Pressure

(psia)

206 Temperature(°F)

0.4 Initial Water Saturation

Rock and Fluid Properties

1.0 krwro

0.3 Sorg

0 Sgc

1 Upper Asphaltene Onset Pressure

0.1 Sorw

0.2 Swc

2.0 nog

1.5 ng = now

2.5 nw

Reservoir Fluid Composition Component (mole%)

1.64 CO2

2.18 N2

28.99 C1

7.97 C2

7.15 C3

1.21 iC4

3.54 nC4

2.00 iC5

2.12 nC5

43.20 C6+

0.8358 C6+ Density @ 15.6 °C (g/ml)

178.47 C6+ Molecular Weight

(b) (a)

(d) (c)

(f) (e)

(h) (g)

CO2

Case Studies 2 & 3 Dimension (ft)

2639 Length

2639 Width

15 Thickness

300 or 70 Absolute Permeability (md)

0.2 Porosity

0 The Coefficient of Compressibility (psia-1)

4810 Initial Pressure

(psia)

194 Temperature(°F)

0.4 Initial Water Saturation

Rock and Fluid Properties

1.0 krwro

0.12 Sorg

0 Sgc

0.08 Sorw

0.2 Swc

2.0 nog

1.5 ng = now

2.5 nw

Composition (mole%) Component

0.97 N2

0.20 CO2

0.00 H2S

27.55 C1

7.43 C2

9.02 C3

1.29 iC4

4.85 nC4

1.67 iC5

2.49 nC5

3.16 C6

41.39 C7+

217.7 Mw of C7+

0.854 SG of C7+

(b)(a)

(d) (c)

(f) (e)

(a)(b)(c)(d)(e)

(f)CO2md

PVT

(SAFT)

UAOP

CO2

1. Ting, D. L., Thermodynamic stability and phase behavior of asphaltenes in oil and of other

highly asymmetric mixtures, PhD Thesis, Rice University, Houston, USA, 2003.

2. Verdier, S., Carrier, H., Andersen, S.I., and Daridon, J. L., "Study of pressure and temperature effects on asphaltene atability in presence of CO2", Energy and Fuels, 20, 1584-1590, 2006.

3. Fussel, L. T., "A Technique for Calculating Multiphase Equilibria", SPE J., pp. 203-208, Aug. 1979.

4. Hirschberg, A., DeJong, L. N. J., Schipper, B. A., and Meijers, J. G., "Influence of Temperature and Pressure on Asphaltene Flocculation", Society of Petroleum Engineers Journal, 24(3), 283-293, June 1984.

5. Kawanaka, S., Park, J., and Mansoori, G. A., "The Role of Asphaltene Deposition in EOR Flooding: A Predictive Technique", SPE Paper No. 17376. Proc. EOR Symposium of SPE, Tulsa, Ok, Aprill 17-20, 1988.

6. Leonaritis, K. J., "Asphaltene Deposition: A Thermodynamic-Colloidal Model", Dissertation for the Degree of Doctor of Phillosophy in Chemical Engineering, University of Illinois, Chicago, Illinois, March 1988.

7. Leonaritis, J. and Mansoori, G. A., "Asphaltene Flocculation During Oil Production and Processing: A Thermodynamic-Colloidal Model", Proc. 1987 SPE Inter, Symp. On Oilfield Chem., San Antonio, Texas, Paper SPE No. 16258, 149-158, Jan 1987.

8. Huang, S.H., Radosz, M., Ind. Eng. Chem. Res. 29, 2284 2294, 1990.

9. Wertheim, M.S., Stat. J., Phys. 35 (1/2), 19 47, 1984.

10. Wertheim, M.S., Stat. J., Phys. 42 (3/4), 459 476, 1986.

11. Huang, S.H., Radosz, M., Ind. Eng. Chem. Res. 30, 1994 2005, 1991.

12. Chapman, W. G., Gubbins, K. E., Jackson, G., and Radosz, M., New reference equation of state for associating liquids, Ind. Eng. Chem. Res. 29, 1709-1721, 1990.

13. Chapman, W. G., Jackson, G., and Gubbins, K. E., Molec. Phys. 65, 1057, 1988.

14. Prausnitz, J.M., Tavares, F.W., AIChE J. 50 (4), 739 761, 2004.

15. Tabatabaei-Nejad, S. A. R., Khodapanah, E., "Application of Chebyshev Polynomials to Predict Phase Behavior of Fluids Containing Asphaltene and Associating Components Using SAFT Equation of State", Fuel Journal, Vol. 89, Issue 9, pp. 2511-2521, 2010.

16. Tabatabaei-Nejad, S.A.R., Khodapanah, E., "A Robust and Stable Algorithm for Predinting

Phase Behavior of Petroleum Fluids", Presented at the 19th International Congress of Chemical and Process Engineering CHISA 2010, Prague, 28 August 1 September 2010.

19. Prausnitz, J. M., Lichtenthaler, R. N., and de Azevedo, E. G., Molecular Thermodynamics of Fluid Phase Equilibria, Third Edition, Prentice Hall PTR, 1999, 390.

20. Tabatabaei-Nejad, S. A. R., Khodapanah, E., An Investigation on the sensitivity analysis of the parameters of proposed wax precipitation model, Journal of Petroleum Science & Engineering, 68, 89 98, 2009.

21. Burden, R. L., Faures, J. D., and Reynolds, A. C., Numerical analysis, Second Edition, Prindle, Weber & Schmidt, 1981.

22. Gross, J., Sadowski, G., Perturbed-Chain SAFT : An equation of state based on perturbation theory for chain molecules, Ind. Eng. Chem. Res. 40, 1244-1260, 2001.

23. Ertekin, T., and Obutb, T., A Robust Algorithmic Phase Equilibria Protocol and Its Application to a Multipurpose Compositional Simulator, Journal of Petroleum Science & Engineering, 37: 39-50, 2004.