Abstract
Solution gas drive in reservoirs containing heavy and viscous oil is not well understood. This paper develops a mechanistic bubble population balance model for describing the process of bubble nucleation and growth. The model is applied to both light and viscous oils. Appropriate rate equations are derived for two theories of bubble nucleation described in the literature – instantaneous nucleation (IN) and progressive nucleation (PN). The results of simulations for the IN and PN models are compared to experimental data reported elsewhere for light oil and to new data for viscous oils. Model parameters are all physically based. Within the IN model, the number density of bubbles must be specified while the PN model requires the cavity-size distribution of the porous medium as input. The PN model matches the experiments somewhat better, but is more demanding computationally. Interestingly, the population balance description of the IN model does not require a critical supersaturation to be exceeded before the onset of bubble nucleation and growth. Supersaturation is the difference between the equilibrium and dynamic pressure of a system. Liberation of gas from solution at the thermodynamic bubble point and the bubble growth equations presented here well describe the kinetics of the gas phase and pressure response of the systems examined.
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Akin, S. and Kovscek, A. R.: 2002, Heavy oil solution gas drive: An experimental study, J. Petrol. Sci. Eng. 35(1-2), 33–48.
Aziz, K. and Settari, A.: 1990, Petroleum Reservoir Simulation, Elsevier, London.
Claridge, E. L. and Prats, M.: 1995, A proposed model and mechanism for anomalous foamy heavy oil behavior, SPE 29243, in: Proceedings of the International Heavy Oil Symposium, Calgary, AB.
Corey, A. T.: 1954, The interrelation between gas and oil relative permeabilities, Producers Monthly 19(1), 38–41.
Dake, L. P.: 1978, Fundamentals of Reservoir Engineering, Elsevier, Amsterdam.
Du, C. and Yortsos, Y. C.: 1999, A numerical study of the critical gas saturation in a porous medium, Transport in Porous Media 35, 205–225.
El Yousfi, A., Zarcone, C. and Bories, S.: 1997, Physical mechanisms for bubble growth during solution gas drive, SPE 38921, in: Processings of the Soc. Pet. Eng. Ann. Tech. Conf. and Exhibition, San Antonio, TX, USA, October 5-8.
Falls, A. H., Hirasaki, G. J., Patzek, T. W., Gauglitz, P. A., Miller, D. D. and Ratulowski, T.: 1988, Development of a mechanistic foam simulator: the population balance and generation by snapoff, Soc. Pet. Eng. Res. Eng. 3(3), 884–892.
Firoozabadi, A.: 1997, Author's reply to pressure and volume evolution during gas phase formation in solution gas drive processes, Soc. Pet. Eng. J. 2(2), 228–231.
Firoozabadi, A.: 2001, Mechanisms of solution gas drive in heavy oil reservoirs, J. Can. Pet. Technol. 40(3), 15–20.
Firoozabadi, A. and Kashchiev, D.: 1993, Kinetics of the initial stage of isothermal gas phase formation, J. Chem. Phys. 98(6), 4690–4699.
Firoozabadi, A. and Kashchiev, D.: 1996, Pressure and volume evolution during gas phase formation in solution gas drive processes, Soc. Pet. Eng. J. 1(3), 219–227.
Firoozabadi, A., Ottesen, B. and Mikklesen, M.: 1992, Measurement of supersaturation and critical gas saturation, Soc. Pet. Eng. Form. Eval. 337–344.
Huang, W. S., Marcum, B. E., Chase, M. R. and Yu, C. L.: 1998, Cold production of heavy oil from horizontal wells in the Frog Lake Field, Soc. Pet. Eng. Res. Eval. Eng. 1(6), 551–555.
Kamath, K. and Boyer, R. E.: 1995, Critical gas saturation and supersaturation in low-permeability rocks, Soc. Pet. Eng. Form. Eval. 10(4), 247–253.
Kovscek, A. R. and Radke, C. J.: 1994, Fundamentals of foam transport in porous media, in: L. L. Schramm (ed.), Foams: Fundamentals and Applications in the Petroleum Industry, American Chemical Society, Washington, DC, USA, pp. 115–163.
Kovscek, A. R., Patzek, T. W. and Radke, C. J.: 1995, A mechanistic population balance model for transient and steady-state foam flow in Boise sandstone, Chem. Eng. Sci. 50(23), 3783–3799.
Kraus, W. P., McCaffrey, W. J. and Boyd, G. W.: 1993, Pseudo-bubble point model for foamy oils, CIM 93-45, in: Proceedings of the 44th Annual Tech. Conf. of the Petroleum Society of CIM, Calgary, AB, May 9-12.
Lee, A. L., Gonzales, M. H. and Eakin, B. E.: 1966, Viscosity of methane-n-decane mixtures, J. Chem. & Eng. Data, July, 281–287.
Li, X. and Yortsos, Y. C.: 1995, Theory of multiple bubble growth in porous media by solute diffusion, Chem. Eng. Sci. 50(8), 1247–1271.
Maini, B. B.: 1996, Foamy oil flow in heavy oil production, J. Can. Pet. Technol. 35(6), 21–24.
Maini, B. B., Sarma, H. K. and George, A. E.: 1993, Significance of foamy-oil behaviour in primary production of heavy oils, J. Can. Pet. Technol. 32(9), 50–54.
McCain, W. D.: 1990, The Properties of Petroleum Fluids, 2nd edn., PennWell Publishing Co., Tulsa, OK, pp. 328–333.
MDL Information Systems Inc.: 2001, Material Safety Data Sheet: Kaydol, Nashville, TN, September 18.
Patzek, T. W.: 1988, Description of foam flow in porous media by the population balance approach, in: D. H. Smith (ed.), Surfactant-based Mobility Control: Progress in Miscible-Flood Enhanced Oil Recovery, American Chemical Society, Washington, DC, USA, pp. 326–341.
Randolph, A. D. and Larson, M. A.: 1971, Theory of Particulate Processes, Academic Press, New York, pp. 41–64.
Satik, C., Li, X. and Yortos, Y. C.: 1995, Scaling of single-bubble growth in a porous medium, Phys. Rev. E 51(4), 3286–3295.
Scriven, L. E.: 1959, On the dynamics of phase growth, Chem. Eng. Sci. 10(1/2), 1–13.
Sheng, J. J., Hayes, R. E., Maini, B. B. and Tortike, W. S.: 1996, A dynamic model to simulate foamy oil flow in porous media, SPE 36750, in: Proceedings of the Soc. Pet. Eng. Ann. Tech. Conf. and Exhibition, Denver, CO, USA, October 6-9.
Sheng, J. J., Maini, B. B., Hayes, R. E. and Tortike, W. S.: 1999, Critical review of foamy oil flow, Transport in Porous Media 35, 157–187.
Smith, G. E.: 1988, Fluid flow and sand production in heavy-oil reservoirs under solution-gas drive, Soc. Pet. Eng. Prod. Eng. 3(2), 169–180.
Tang, G. Q. and Firoozabadi, A.: 1999, Gas and liquid-phase relative permeabilities for cold production from heavy oil, SPE 56540, in: Presented at the SPE Annual Technical Conference and Exhibition, Houston, October 3-6.
Treinen, R. J., Spence, A. P., de Mirabel, M. and Huerta, M.: 1997, Hamaca: solution gas drive recovery in a heavy oil reservoir, SPE 39031, in: Presented at the Fifth Latin American and Caribbean Petroleum Engineering Conference and Exhibition, Rio de Janeiro, Brazil, August 30-September 3.
Tsimpanogiannis, I. N. and Yortsos, Y. C.: 2001, An effective continuum model for the liquid-to-gas phase change and growth in a porous medium driven by solute diffusion, in: Proceedings of the IMECE'01,, November 11-16.
Urgelli, D., Durandeau, M., Foucault, H. and Besnier, J.-F.: 1999, Investigation of foamy oil effect from laboratory experiments, SPE 54083, in: Proceedings of the Soc. Pet. Eng. International Thermal Operations and Heavy Oil Symposium, Bakersfield, CA, USA, March 17-19.
Wilt, P. M.: 1986, Nucleation rates and bubble stability in water carbon dioxide solutions, J. Coll. Int. Sci. 112(2), 530–538.
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Arora, P., Kovscek, A.R. A Mechanistic Modeling and Experimental Study of Solution Gas Drive. Transport in Porous Media 51, 237–265 (2003). https://doi.org/10.1023/A:1022353925107
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DOI: https://doi.org/10.1023/A:1022353925107