Modeling coupled heat transfer and multiphase flow during the expanding solvent steam-assisted gravity drainage (ES-SAGD) process

Prince N. Azom, Sanjay Srinivasan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Citations (Scopus)

Abstract

By solving a 1D heat conservation equation for single phase flow, Butler (1981) derived his classical SAGD equation which has excellent predictive capability at experimental scales but performs poorly at field scales. Several authors have tried to remedy this by acknowledging the existence of multiphase flow ahead of the steam chamber during SAGD, but have only empirically accounted for it using multipliers that seem to vary for each reservoir. Recently, by coupling the mass and energy conservation equations, Azom et al. (2013) solved this problem and showed that the multi-scale phenomenon is controlled by the classical Marangoni or thermo-capillary number. In this paper, we extend the concept of thermo-capillary imbibition (Azom et al., 2013) to include the additional coupling of a solvent component mass balance to the mass and energy conservation equations in order to derive an expression for oil recovery during ES-SAGD. Our results show that in addition to the thermo-capillary number, additional dimensionless groups like the condensate Lewis number, the ratios of the solvent's condensate to bitumen dispersion coefficient and solvent viscosity to bitumen viscosity at steam temperature influence multiphase flow and hence ES-SAGD flow performance. An important conclusion is that heterogeneity will have a complex effect on the ES-SAGD process as it causes more thermo-capillary imbibition (thereby decreasing bitumen rates) while at the same time causes the further transport of solvent into the bitumen phase (thereby increasing bitumen rates). Our method involved accounting for capillary pressure in the conservation equations and decoupling it into its temperature and saturation components. This then forms the basis for coupling the mass and energy conservation equations. The solvent is assumed not to affect capillary behavior for the ES-SAGD process. The entire modeling was done in dimensionless space making the results applicable across varying scales and for a range of reservoir parameters. This work presents a viable semi-analytical model for the ES-SAGD process while at the same time accounting for the effect of multiphase flow during the process. It is also important to note that currently no commercial simulator can model thermocapillary behavior and hence cannot account for multiphase flow effects during non-isothermal recovery processes. Our model solves this problem for the ES-SAGD process and can be used together with the original Butler model as a fast ES-SAGD predictive model that also accounts for multiphase flow in any proxy-based history matching process.

Original languageEnglish (US)
Title of host publicationSociety of Petroleum Engineers - SPE Annual Technical Conference and Exhibition, ATCE 2013
Pages3289-3315
Number of pages27
StatePublished - Dec 1 2013
EventSPE Annual Technical Conference and Exhibition, ATCE 2013 - New Orleans, LA, United States
Duration: Sep 30 2013Oct 2 2013

Publication series

NameProceedings - SPE Annual Technical Conference and Exhibition
Volume4

Other

OtherSPE Annual Technical Conference and Exhibition, ATCE 2013
CountryUnited States
CityNew Orleans, LA
Period9/30/1310/2/13

Fingerprint

Multiphase flow
Drainage
Gravitation
Steam
Heat transfer
Energy conservation
Conservation
Viscosity
Recovery
Capillarity
Analytical models
Simulators

All Science Journal Classification (ASJC) codes

  • Fuel Technology
  • Energy Engineering and Power Technology

Cite this

Azom, P. N., & Srinivasan, S. (2013). Modeling coupled heat transfer and multiphase flow during the expanding solvent steam-assisted gravity drainage (ES-SAGD) process. In Society of Petroleum Engineers - SPE Annual Technical Conference and Exhibition, ATCE 2013 (pp. 3289-3315). (Proceedings - SPE Annual Technical Conference and Exhibition; Vol. 4).
Azom, Prince N. ; Srinivasan, Sanjay. / Modeling coupled heat transfer and multiphase flow during the expanding solvent steam-assisted gravity drainage (ES-SAGD) process. Society of Petroleum Engineers - SPE Annual Technical Conference and Exhibition, ATCE 2013. 2013. pp. 3289-3315 (Proceedings - SPE Annual Technical Conference and Exhibition).
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Azom, PN & Srinivasan, S 2013, Modeling coupled heat transfer and multiphase flow during the expanding solvent steam-assisted gravity drainage (ES-SAGD) process. in Society of Petroleum Engineers - SPE Annual Technical Conference and Exhibition, ATCE 2013. Proceedings - SPE Annual Technical Conference and Exhibition, vol. 4, pp. 3289-3315, SPE Annual Technical Conference and Exhibition, ATCE 2013, New Orleans, LA, United States, 9/30/13.

Modeling coupled heat transfer and multiphase flow during the expanding solvent steam-assisted gravity drainage (ES-SAGD) process. / Azom, Prince N.; Srinivasan, Sanjay.

Society of Petroleum Engineers - SPE Annual Technical Conference and Exhibition, ATCE 2013. 2013. p. 3289-3315 (Proceedings - SPE Annual Technical Conference and Exhibition; Vol. 4).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - By solving a 1D heat conservation equation for single phase flow, Butler (1981) derived his classical SAGD equation which has excellent predictive capability at experimental scales but performs poorly at field scales. Several authors have tried to remedy this by acknowledging the existence of multiphase flow ahead of the steam chamber during SAGD, but have only empirically accounted for it using multipliers that seem to vary for each reservoir. Recently, by coupling the mass and energy conservation equations, Azom et al. (2013) solved this problem and showed that the multi-scale phenomenon is controlled by the classical Marangoni or thermo-capillary number. In this paper, we extend the concept of thermo-capillary imbibition (Azom et al., 2013) to include the additional coupling of a solvent component mass balance to the mass and energy conservation equations in order to derive an expression for oil recovery during ES-SAGD. Our results show that in addition to the thermo-capillary number, additional dimensionless groups like the condensate Lewis number, the ratios of the solvent's condensate to bitumen dispersion coefficient and solvent viscosity to bitumen viscosity at steam temperature influence multiphase flow and hence ES-SAGD flow performance. An important conclusion is that heterogeneity will have a complex effect on the ES-SAGD process as it causes more thermo-capillary imbibition (thereby decreasing bitumen rates) while at the same time causes the further transport of solvent into the bitumen phase (thereby increasing bitumen rates). Our method involved accounting for capillary pressure in the conservation equations and decoupling it into its temperature and saturation components. This then forms the basis for coupling the mass and energy conservation equations. The solvent is assumed not to affect capillary behavior for the ES-SAGD process. The entire modeling was done in dimensionless space making the results applicable across varying scales and for a range of reservoir parameters. This work presents a viable semi-analytical model for the ES-SAGD process while at the same time accounting for the effect of multiphase flow during the process. It is also important to note that currently no commercial simulator can model thermocapillary behavior and hence cannot account for multiphase flow effects during non-isothermal recovery processes. Our model solves this problem for the ES-SAGD process and can be used together with the original Butler model as a fast ES-SAGD predictive model that also accounts for multiphase flow in any proxy-based history matching process.

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Azom PN, Srinivasan S. Modeling coupled heat transfer and multiphase flow during the expanding solvent steam-assisted gravity drainage (ES-SAGD) process. In Society of Petroleum Engineers - SPE Annual Technical Conference and Exhibition, ATCE 2013. 2013. p. 3289-3315. (Proceedings - SPE Annual Technical Conference and Exhibition).