Improving the steam-assisted gravity drainage integral simulator to predict the time of steam breakthrough into the producer

Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy


Release:

2020. Vol. 6. № 3 (23)

Title: 
Improving the steam-assisted gravity drainage integral simulator to predict the time of steam breakthrough into the producer


For citation: Gilmanov A. Ya., Fedorov K. M., Shevelev A. P. 2020. “Improving the steam-assisted gravity drainage integral simulator to predict the time of steam breakthrough into the producer”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 6, no. 3 (23), pp. 38-57. DOI: 10.21684/2411-7978-2020-6-3-38-57

About the authors:

Alexander Ya. Gilmanov, Second Category Engineer, Department of Modeling of Physical Processes and Systems, Institute of Physics and Technology, University of Tyumen; a.y.gilmanov@utmn.ru

Konstantin M. Fedorov, Dr. Sci. (Phys.-Math.), Professor, Scientific Advisor of the Institute of Physics and Technology, University of Tyumen; k.m.fedorov@utmn.ru

Alexander P. Shevelev, Cand. Sci. (Phys.-Math.), Professor, Department of Modeling of Physical Processes and Systems, Institute of Physics and Technology, University of Tyumen; eLibrary AuthorID, alexandershevelev@mail.ru

Abstract:

One of the main problems for Steam Assisted Gravity Drainage (SAGD) is the risk of steam breakthrough into the producer. A relevant task is to simulate SAGD to predict steam breakthrough. The existing models do not predict many technological parameters, and the integral model, developed earlier, does not consider the risk of a steam breakthrough. In this article, for the first time, an integral model is proposed in a dimensionless form, which considers risk of steam breakthrough and allows calculating all stages of SAGD.

The aim of this study is to improve the previously developed SAGD model to calculate the vertical coordinate of the upper boundary of liquid phase level. This has required a system of equations based on mass and heat balances both in the chamber and in the region of liquid phases. The system of equations is represented in dimensionless form. The research methodology involves using an explicit finite-difference scheme to solve this system and to verify the model according to the data by Ya. Yang et al. The nonlinear equation included in the system is solved using Newton’s iterative method. The lowering of the upper boundary of liquid phases’ region means steam breakthrough.

The results have provided the dependences of volumetric oil flow rate, the vertical coordinate of the upper boundary of the level of liquid phases and steam-oil ratio on time of process. These results are compared with the production data from the Celtic field with good agreement of the calculated data with the actual data. A fast drop in the upper boundary of the liquid phases region, observed with the data used approximately 100 days after the end of vertical growth of the steam chamber, indicates the risk of steam breakthrough.

References:

  1. Butler R. M. 2010. Horizontal Wells for the Recovery of Oil, Gas and Bitumen. Translated from English by A. A. Kozina. Moscow, Izhevsk: Institute of Computer Research, NIC “Regular and Chaotic Dynamics”. [In Russian]

  2. Gilmanov A. Ya., Fedorov K. M., Shevelev A. P. 2019. “Analysis of dimensionless similarity complexes’ influence on steam-assisted gravity drainage using the integral model”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 5, no. 4 (20), pp. 143-159. DOI: 10.21684/2411-7978-2019-5-4-143-159 [In Russian]

  3. Ried R., Prausnitz J., Sherwood T. 1982. The properties of gases and liquids: handbook. Translated from English by B. I. Sokolov. 3rd edition, revised. Leningrad: Chemistry. [In Russian]

  4. Kikoin I. K. (ed.). 1976. The Table of Physical Quantities. Handbook. Moscow: Atomizdat. [In Russian]

  5. Khisamov R. S., Morozov P. E., Khairullin M. Kh., Shamsiev M. N., Abdullin A. I. 2018. “Simulation of the process of steam-assisted gravity drainage considering the yield stress”. Neftyanoye Khozyaystvo, no. 8, pp. 48-51. DOI: 10.24887/0028-2448-2018-8-48-51 [In Russian]

  6. Chekalyuk E. B. 1965. Thermodynamics of an Oil Reservoir. Moscow: Nedra. [In Russian]

  7. Brooks R. T., Tavakol H. 2012. “Experiences in eliminating steam breakthrough and providing zonal isolation in SAGD wells”. Society of Petroleum Engineers. Conference Paper SPE 153903. DOI: 10.2118/153903-MS

  8. Butler R. M., McNab G. S., Lo H. Y. 1981. “Theoretical studies on the gravity drainage of heavy oil during in situ steam heating”. Canadian Journal of Chemical Engineering, vol. 59, pp. 455-460. DOI: 10.1002/cjce.5450590407

  9. Chung K. H., Butler R. M. 1988. “Geometrical effect of steam injection on the formation of emulsions in the steam-assisted gravity drainage process”. The Journal of Canadian Petroleum Technology, vol. 27, no. 1, pp. 36-42. DOI: 10.2118/87-38-22

  10. Edmunds N., Peterson J. 2007. “A unified model for prediction of CSOR in steam-based bitumen recovery”. Petroleum Society of Canadian Institute of Mining, Metallurgy and Petroleum. Paper No. 2007-027. DOI: 10.2118/2007-027

  11. Ezeuko C. C., Wang J., Gates I. D. 2012. “Investigation of emulsion flow in SAGD and ES-SAGD”. Society of Petroleum Engineers. Conference Paper SPE 157830. DOI: 10.2118/157830-MS

  12. Irani M. 2018. “On subcool control in steam-assisted-gravity-drainage producers — part I: stability envelopes”. SPE Journal, vol. 23, no. 3, pp. 841-867. DOI: 10.2118/187956-PA

  13. Ji D., Yang S., Zhong H., Dong M., Chen Z., Zhong L. 2016. “Re-examination of fingering in SAGD and ES-SAGD”. Society of Petroleum Engineers. Conference Paper SPE-180708-MS. DOI: 10.2118/180708-MS

  14. Khisamov R., Zaripov A., Shaikhutdinov D. 2015. “Best configuration of horizontal and vertical wells for heavy oil thermal recovery from thin net pay zones”. Society of Petroleum Engineers. Conference Paper SPE-176702-MS. DOI: 10.2118/176702-MS

  15. Saks D., Kyanpour M., Onamade O. 2015. “Evaluation of thermal efficiency of the pre-heat period in the SAGD process for different completion methods”. Society of Petroleum Engineers. Conference Paper SPE-174450-MS. DOI: 10.2118/174450-MS

  16. Scott Ferguson F. R., Butler R. M. 1988. “Steam-assisted gravity drainage model incorporating energy recovery from a cooling steam chamber”. The Journal of Canadian Petroleum Technology, vol. 27, no. 5, pp. 75-83. DOI: 10.2118/88-05-09

  17. Singhal A. K., Ito Y., Kasraie M. 1998. “Screening and design criteria for steam assisted gravity drainage (SAGD) projects”. Society of Petroleum Engineers. Conference Paper SPE 50410. DOI: 10.2118/50410-MS

  18. Taubner S. P., Lipsett M. G., Keller A., Kaiser T. M. V. 2016. “Gravity inflow performance relationship for SAGD production wells”. Society of Petroleum Engineers. Conference Paper SPE-180714-MS. DOI: 10.2118/180714-MS

  19. Vachon G. P., Klaczek W., Erickson P. J., Langer D. C., Booy D., Baugh A. 2015. “Use of flow control devices (FCDs) to enforce conformance in steam assisted gravity drainage (SAGD) completions”. Society of Petroleum Engineers. Conference Paper SPE-174416-MS. DOI: 10.2118/174416-MS

  20. Yang Y., Huang S., Liu Y., Song Q., Wei S., Xiong H. 2017. “A multistage theoretical model to characterize the liquid level during steam-assisted-gravity-drainage process”. SPE Journal, vol. 22, no. 1, pp. 327-338. DOI: 10.2118/183630-PA