Research Papers: Petroleum Engineering

Experimental and Theoretical Determination of Diffusion Coefficients of CO2-Heavy Oil Systems by Coupling Heat and Mass Transfer

[+] Author and Article Information
Sixu Zheng

Petroleum Systems Engineering,
Faculty of Engineering and Applied Science,
University of Regina,
Regina, SK S4S 0A2, Canada

Daoyong Yang

Petroleum Systems Engineering,
Faculty of Engineering and Applied Science,
University of Regina,
Regina, SK S4S 0A2, Canada
e-mail: tony.yang@uregina.ca

1Corresponding author.

Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received February 25, 2016; final manuscript received June 3, 2016; published online July 12, 2016. Editor: Hameed Metghalchi.

J. Energy Resour. Technol 139(2), 022901 (Jul 12, 2016) (15 pages) Paper No: JERT-16-1112; doi: 10.1115/1.4033982 History: Received February 25, 2016; Revised June 03, 2016

By treating heavy oil as multiple pseudocomponents, techniques have been developed to experimentally and theoretically determine diffusion coefficients of CO2-heavy oil systems by coupling heat and mass transfer together with consideration of swelling effect. Experimentally, diffusion tests have been conducted for hot CO2-heavy oil systems with three different temperatures under a constant pressure by using a visualized pressure-volume-temperature (PVT) setup. The swelling of liquid phase in the PVT cell is continuously monitored and recorded during the measurements. Theoretically, a two-dimensional (2D) mathematical model incorporating the volume-translated Peng–Robinson equation of state (PR EOS) with a modified alpha function has been developed to describe heat and mass transfer for hot CO2-heavy oil systems. Heavy oil sample has been characterized as three pseudocomponents for accurately quantifying phase behavior of the CO2-heavy oil systems, while the binary interaction parameters (BIPs) are tuned with the experimentally measured saturation pressures. The diffusion coefficient of hot CO2 in heavy oil is then determined once the discrepancy between the experimentally measured dynamic swelling factors and theoretically calculated ones has been minimized. During the diffusion experiments, heat transfer is found to be dominant over mass transfer at the beginning and reach its equilibrium in a shorter time; subsequently, mass transfer shows its dominant effect. The enhanced oil swelling mainly occurs during the coupled heat and mass transfer stage. CO2 diffusion coefficient in heavy oil is found to increase with temperature at a given pressure, while it can be explicitly correlated as a function of temperature.

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Lee, H. , Jin, J. , Shin, H. , and Choe, J. , 2015, “ Efficient Prediction of SAGD Productions Using Static Factor Clustering,” ASME J. Energy Resour. Technol., 137(3), p. 032907. [CrossRef]
Panwar, A. , Trivedi, J. J. , and Nejadi, S. , 2015, “ Importance of Distributed Temperature Sensor Data for Steam Assisted Gravity Drainage Reservoir Characterization and History Matching Within Ensemble Kalman Filter Framework,” ASME J. Energy Resour. Technol., 137(4), p. 042902. [CrossRef]
Edmunds, N. , 1999, “ On the Difficult Birth of SAGD,” J. Can. Pet. Technol., 38(1), pp. 14–24. [CrossRef]
Irani, M. , and Ghannadi, S. , 2013, “ Understanding the Heat-Transfer Mechanism in the Steam-Assisted Gravity-Drainage (SAGD) Process and Comparing the Conduction and Convection Flux in Bitumen Reservoirs,” SPE J., 18(1), pp. 134–145. [CrossRef]
Wang, C. , Liu, H. , Zheng, Q. , Liu, Y. , Dong, X. , and Hong, C. , 2015, “ A New High-Temperature Gel for Profile Control in Heavy Oil Reservoirs,” ASME J. Energy Resour. Technol., 138(2), p. 022901. [CrossRef]
Gul, A. , and Trivedi, J. J. , 2010, “ CO2 Based VAPEX for Heavy Oil Recovery in Fractured Carbonate Reservoirs,” SPE EOR Conference at Oil and Gas West Asia, Muscat, Oman, Apr. 11–13, Paper No. SPE 129594-MS.
Kovscek, A. R. , 2012, “ Emerging Challenges and Potential Futures for Thermally Enhanced Oil Recovery,” J. Pet. Sci. Eng., 98–99, pp. 130–143. [CrossRef]
Hutchence, K. , and Huang, S. S. , 1999, “ Gas Pressure Cycling for Thin Heavy Oil Reservoirs,” Petroleum Conference of the South Saskatchewan Section, Regina, SK, Oct. 18–21, Paper No. PETSOC-99-107.
Shi, J. , and Leung, J. Y. , 2014, “ Semi-Analytical Proxy for Vapex Process Modeling in Heterogeneous Reservoirs,” ASME J. Energy Resour. Technol., 136(3), p. 032904. [CrossRef]
Shu, W. R. , and Hartman, K. J. , 1988, “ Effect of Solvent on Steam Recovery of Heavy Oil,” SPE Reservoir Eng., 3(2), pp. 457–465. [CrossRef]
James, L. A. , Rezaei, N. , and Chatzis, I. , 2008, “ VAPEX, Warm VAPEX and Hybrid VAPEX—The State of Enhanced Oil Recovery for In Situ Heavy Oils in Canada,” J. Can. Pet. Technol., 47(4), pp. 1–7. [CrossRef]
Zhang, Y. , Huang, S. , and Luo, P. , 2010, “ Coupling Immiscible CO2 Technology and Polymer Injection to Maximize EOR Performance for Heavy Oils,” J. Can. Pet. Technol., 49(5), pp. 27–33.
Sahin, S. , Kalfa, U. , and Celebioglu, D. , 2008, “ Bati Raman Field Immiscible CO2 Application-Status Quo and Future Plans,” SPE Reservoir Eval. Eng., 11(4), pp. 778–791. [CrossRef]
Jia, X. , Ma, K. , Liu, Y. , Liu, B. , Zhang, J. , and Li, Y. , 2013, “ Enhance Heavy Oil Recovery by In-Situ Carbon Dioxide Generation and Application in China Offshore Oilfield,” SPE Enhanced Oil Recovery Conference, Kuala Lumpur, Malaysia, July 2–4, 2013, Paper No. SPE 165215-MS.
Jha, K. N. , 1986, “ A Laboratory Study of Heavy Oil Recovery With Carbon Dioxide,” J. Can. Pet. Technol., 25(2), pp. 54–63. [CrossRef]
Rojas, G. A. , and Ali, S. M. F. , 1988, “ Dynamics of Subcritical CO2/Brine Floods for Heavy Oil Recovery,” SPE Reservoir Eng., 3(1), pp. 35–44. [CrossRef]
Li, H. , Yang, D. , and Tontiwachwuthikul, P. , 2012, “ Experimental and Theoretical Determination of Equilibrium Interfacial Tension of the Solvent(s)-CO2-Heavy Oil Systems,” Energy Fuels, 26(3), pp. 1776–1786. [CrossRef]
Zheng, S. , and Yang, D. , 2013, “ Pressure Maintenance and Improving Oil Recovery by Means of Immiscible Water-Alternating-CO2 Processes in Thin Heavy Oil Reservoirs,” SPE Reservoir Eval. Eng., 16(1), pp. 60–71. [CrossRef]
Zheng, S. , Li, H. , and Yang, D. , 2013, “ Pressure Maintenance and Improving Oil Recovery With Immiscible CO2 Injection in Thin Heavy Oil Reservoirs,” J. Pet. Sci. Eng., 112, pp. 139–152. [CrossRef]
Tharanivasan, A. K. , Yang, C. , and Gu, Y. , 2004, “ Comparison of Three Different Interface Mass Transfer Models Used in the Experimental Measurement of Solvent Diffusivity in Heavy Oil,” J. Pet. Sci. Eng., 44(3–4), pp. 269–282. [CrossRef]
Li, Z. , and Dong, M. , 2009, “ Experimental Study of Carbon Dioxide in Oil-Saturated Porous Media Under Reservoir Conditions,” Ind. Eng. Chem. Res., 48(20), pp. 9307–9317. [CrossRef]
Riazi, M. R. , and Whitson, C. H. , 1993, “ Estimating Diffusion Coefficients of Dense Fluids,” Ind. Eng. Chem. Res., 32(12), pp. 3081–3088. [CrossRef]
Sun, H. , Li, H. , and Yang, D. , 2014, “ Coupling Heat and Mass Transfer for a Gas Mixture-Heavy Oil System at High Pressures and Elevated Temperatures,” Int. J. Heat Mass Transfer, 74(7), pp. 173–184. [CrossRef]
Riazi, M. R. , 1996, “ A New Method for Experimental Measurement of Diffusion Coefficients in Reservoir Fluids,” J. Pet. Sci. Eng., 14(3–4), pp. 235–250. [CrossRef]
Rongy, L. , Haugen, K. B. , and Firoozabadi, A. , 2012, “ Mixing From Fickian Diffusion and Natural Convection in Binary Non-Equilibrium Fluid Phases,” AIChE J., 58(5), pp. 1336–1345. [CrossRef]
Li, H. , and Yang, D. , 2016, “ Determination of Individual Diffusion Coefficients of Solvent/CO2 Mixture in Heavy Oil With Pressure-Decay Method,” SPE J., 21(1), pp. 131–143. [CrossRef]
Riley, M. F. , and Firoozabadi, A. , 1998, “ Compositional Variation in Hydrocarbon Reservoirs With Natural Convection and Diffusion,” AIChE J., 44(2), pp. 452–464. [CrossRef]
Firoozabadi, A. , Ghorayeb, K. , and Shukla, K. , 2000, “ Theoretical Model of Thermal Diffusion Factors in Multicomponent Mixtures,” AIChE J., 46(5), pp. 892–900. [CrossRef]
Kempers, L. J. T. M. , 2001, “ A Comprehensive Thermodynamic Theory of the Soret Effect in a Multicomponent Gas, Liquid, or Solid,” J. Chem. Phys., 115(14), pp. 6330–6341. [CrossRef]
Platten, J. K. , 2005, “ The Soret Effect: A Review of Recent Experimental Results,” ASME J. Appl. Mech., 73(1), pp. 5–15. [CrossRef]
Leahy-Dios, A. , 2008, “ Experimental and Theoretical Investigation of Fickian and Thermal Diffusion Coefficients in Hydrocarbon Mixtures,” Ph.D. dissertation, Yale University, New Haven, CT.
Eslamian, M. , and Saghir, M. Z. , 2009, “ A Critical Review of Thermodiffusion Models: Role and Significance of the Heat of Transport and the Activation Energy of Viscous Flow,” J. Non-Equilib. Thermodyn., 34(2), pp. 97–131. [CrossRef]
Eslamian, M. , 2011, “ Advances in Thermodiffusion and Thermophoresis (Soret Effect) in Liquid Mixtures,” Front. Heat Mass Transfer, 2(4), pp. 1–20.
Krishna, R. , and Standart, G. L. , 1979, “ Mass and Energy Transfer in Multicomponent Systems,” Chem. Eng. Commun., 3(4–5), pp. 201–275. [CrossRef]
Taylor, R. , and Krishna, R. , 1993, Multicomponent Mass Transfer, Wiley, New York.
Ghorayeb, K. , and Firoozabadi, A. , 2000, “ Molecular, Pressure, and Thermal Diffusion in Nonideal Multicomponent Mixtures,” AIChE J., 46(5), pp. 883–891. [CrossRef]
Ghorayeb, K. , and Firoozabadi, A. , 2000, “ Numerical Study of Natural Convection and Diffusion in Fractured Porous Media,” SPE J., 5(1), pp. 12–20. [CrossRef]
Haugen, K. B. , and Firoozabadi, A. , 2009, “ Mixing of Two Binary Nonequilibrium Phases in One Dimension,” AIChE J., 55(8), pp. 1930–1936. [CrossRef]
Leahy-Dios, A. , and Firoozabadi, A. , 2007, “ Unified Model for Nonideal Multicomponent Molecular Diffusion Coefficients,” AIChE J., 53(11), pp. 2932–2939. [CrossRef]
Hoteit, H. , 2013, “ Modeling Diffusion and Gas–Oil Mass Transfer in Fractured Reservoirs,” J. Pet. Sci. Eng., 105, pp. 1–17. [CrossRef]
Mangalsingh, D. , and Jagai, T. , 1996, “ A Laboratory Investigation of the Carbon Dioxide Immiscible Process,” SPE Latin America/Caribbean Petroleum Engineering Conference, Port-of-Spain, Trinidad, Apr. 23–26, Paper No. SPE 36134-MS.
Sheikha, H. , Mehrotra, A. K. , and Pooladi-Darvish, M. , 2006, “ An Inverse Solution Methodology for Estimating the Diffusion Coefficient of Gases in Athabasca Bitumen From Pressure-Decay Data,” J. Pet. Sci. Eng., 53(3–4), pp. 189–202. [CrossRef]
Li, H. , Zheng, S. , and Yang, D. , 2013, “ Enhanced Swelling Effect and Viscosity Reduction of Solvent(s)/CO2/Heavy-Oil Systems,” SPE J., 18(4), pp. 695–707. [CrossRef]
Zheng, S. , and Yang, D. , 2016, “ Determination of Individual Diffusion Coefficients of C3H8-n-C4H10-CO2-Heavy Oil Systems at High Pressures and Elevated Temperatures by Dynamic Volume Analysis (DVA),” 20th SPE Improved Oil Recovery Conference, Tulsa, OK, Apr. 9–13, Paper No. SPE-179618-MS.
Zheng, S. , Li, H. , Sun, H. , and Yang, D. , 2016, “ Determination of Diffusion Coefficient for Alkane Solvent-CO2 Mixtures in Heavy Oil With Consideration of Swelling Effect,” Ind. Eng. Chem. Res., 55(6), pp. 1533–1549. [CrossRef]
Cussler, E. L. , 2009, Diffusion: Mass Transfer in Fluid Systems, Cambridge University Press, Cambridge, UK.
Poling, B. E. , Prausnitz, J. M. , and O'Connell, J. P. , 2001, The Properties of Gases and Liquids, 5th ed., McGraw-Hill, New York.
Hayduk, W. , and Cheng, S. C. , 1971, “ Review of Relation Between Diffusivity and Solvent Viscosity in Dilute Liquid Solution,” Chem. Eng. Sci., 26(5), pp. 635–646. [CrossRef]
Luo, P. , Yang, C. , and Gu, Y. , 2007, “ Enhanced Solvent Dissolution Into In-Situ Upgraded Heavy Oil Under Different Pressures,” Fluid Phase Equilib., 252(1–2), pp. 143–151. [CrossRef]
Lobe, V. M. , 1973, “ A Model for the Viscosity of Liquid–Liquid Mixtures,” M.Sc. thesis, University of Rochester, Rochester, NY.
Li, H. , and Yang, D. , 2013, “ Phase Behavior of C3H8/n-C4H10/Heavy-Oil Systems at High Pressures and Elevated Temperatures,” J. Can. Pet. Technol., 52(1), pp. 30–40. [CrossRef]
Peng, D. , and Robinson, D. B. , 1976, “ A New Two-Constant Equation of State,” Ind. Eng. Chem. Fundam., 15(1), pp. 59–64. [CrossRef]
Li, H. , and Yang, D. , 2011, “ Modified α Function for the Peng–Robinson Equation of State to Improve the Vapor Pressure Prediction of Non-Hydrocarbon and Hydrocarbon Compounds,” Energy Fuels, 25(1), pp. 215–223. [CrossRef]
Li, X. , Li, H. , and Yang, D. , 2013, “ Determination of Multiphase Boundaries and Swelling Factors of Solvent(s)-CO2-Heavy Oil Systems at High Pressures and Elevated Temperatures,” Energy Fuels, 27(3), pp. 1293–1306. [CrossRef]
Chueh, P. L. , and Prausnitz, J. M. , 1967, “ Vapor–Liquid Equilibria at High Pressures: Calculation of Partial Molar Volumes in Nonpolar Liquid Mixtures,” AIChE J., 13(6), pp. 1099–1107. [CrossRef]
Whitson, C. H. , and Brule, M. R. , 2000, Phase Behavior (Monograph Series), SPE, Richardson, TX.
Soreide, I. , 1989, “ Improved Phase Behavior Predictions of Petroleum Reservoir Fluids From a Cubic Equation of State,” Ph.D. dissertation, Norwegian Institute of Technology (NTH), Trondheim, Norway.
Welker, J. R. , and Dunlop, D. D. , 1963, “ Physical Properties of Carbonated Oil,” J. Pet. Technol., 15(8), pp. 873–876. [CrossRef]
Teja, A. S. , and Sandler, A. I. , 1980, “ A Corresponding States Equation for Saturated Liquid Densities: II. Application to the Calculation of Swelling Factors of CO2-Crude Oil Systems,” AIChE J., 26(3), pp. 341–345. [CrossRef]
Peneloux, A. , Rauzy, E. , and Freze, R. , 1982, “ A Consistent Correction for Redlich-Kwong-Soave Volumes,” Fluid Phase Equilib., 8(1), pp. 7–23. [CrossRef]
Spencer, C. F. , and Danner, R. P. , 1972, “ Improved Equation for Prediction of Saturated Liquid Density,” J. Chem. Eng. Data, 17(2), pp. 236–241. [CrossRef]
Danesh, A. , Xu, D. , and Todd, A. C. , 1992, “ A Grouping Method to Optimize Oil Description for Compositional Simulation of Gas-Injection Processes,” SPE Reservoir Eng., 7(3), pp. 343–348. [CrossRef]
Wu, R. S. , and Batycky, J. P. , 1988, “ Pseudocomponent Characterization for Hydrocarbon Miscible Displacement,” SPE Reservoir Eng., 3(3), pp. 875–883. [CrossRef]
Fujii, H. , and Horne, R. , 1995, “ Multivariate Optimization of Networked Production Systems,” SPE Prod. Facil., 10(3), pp. 165–171. [CrossRef]
Chen, S. , Li, H. , and Yang, D. , 2010, “ Optimization of Production Performance in a CO2 Flooding Reservoir Under Uncertainty,” J. Can. Pet. Technol., 49(2), pp. 71–78. [CrossRef]
Upreti, S. R. , and Mehrotra, A. K. , 2002, “ Diffusivity of CO2, CH4, C2H6, and N2 in Athabasca Bitumen,” Can. J. Chem. Eng., 80(1), pp. 116–125. [CrossRef]
Schmidt, T. , 1989, “ Mass Transfer by Diffusion,” AOSTRA Technical Handbook on Oil Sands, Bitumen, and Heavy Oils, Alberta Oil Sand Technologies and Research Authority, Edmonton, AB, Canada, pp. 311–332.
Etminan, S. R. , Maini, B. B. , Chen, Z. , and Hassanzade, H. , 2010, “ Constant-Pressure Technique for Gas Diffusivity and Solubility Measurements in Heavy Oil and Bitumen,” Energy Fuels, 24(1), pp. 533–549. [CrossRef]
Fadaei, H. , Scarff, B. , and Sinton, D. , 2011, “ Rapid Microfluidics-Based Measurement of CO2 Diffusivity in Bitumen,” Energy Fuels, 25(10), pp. 4829–4835. [CrossRef]
Tharanivasan, A. K. , Yang, C. , and Gu, Y. , 2006, “ Measurements of Molecular Diffusion Coefficients of Carbon Dioxide, Methane, and Propane in Heavy Oil Under Reservoir Conditions,” Energy Fuels, 20(6), pp. 2509–2517. [CrossRef]
Yang, C. , and Gu, Y. , 2006, “ Diffusion Coefficients and Oil Swelling Factors of Carbon Dioxide, Methane, Ethane, Propane, and Their Mixtures in Heavy Oil,” Fluid Phase Equilib., 243(1–2), pp. 64–73. [CrossRef]
Yaws, C. L. , 2003, Yaws' Handbook of Thermodynamic and Physical Properties of Chemical Compounds: Physical, Thermodynamic, and Transport Properties for 5,000 Organic Chemical Compounds, Knovel, Norwich, NY.


Grahic Jump Location
Fig. 1

(a) Schematic of PVT setup for diffusion tests and (b) a digital image of the PVT cell

Grahic Jump Location
Fig. 2

(a) Schematic diagram of the diffusion cell and (b) cell-centered control volumes

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Fig. 3

Measured and calculated dynamic swelling factors based on (a) constant diffusion coefficient and (b) diffusion coefficient as a function of viscosity and a constant for tests #1–3, respectively

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Fig. 4

Measured diffusion coefficient as a function of temperature

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Fig. 5

Calculated temperature profile in liquid phase for test #1: (a) t = 60 s, (b) t = 150 s, (c) t = 300 s, and (d) t = 600 s

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Fig. 6

CO2 mole fraction in liquid phase for test #1: (a) t = 1 hr, (b) t = 5 hrs, (c) t = 10 hrs, (d) t = 50 hrs, (e) t = 90 hrs, and (f) t = 126 hrs

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Fig. 7

CO2 mole fraction in liquid phase for test #2: (a) t = 1 hr, (b) t = 5 hrs, (c) t = 10 hrs, (d) t = 50 hrs, (e) t = 90 hrs, and (f) t = 126 hrs

Grahic Jump Location
Fig. 8

CO2 mole fraction in liquid phase for test #3: (a) t = 1 hr, (b) t = 5 hrs, (c) t = 10 hrs, (d) t = 50 hrs, (e) t = 90 hrs, and (f) t = 126 hrs

Grahic Jump Location
Fig. 9

CO2 mole fraction in liquid phase along the height of the PVT cell for test #3




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