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


Release:

2019, Vol. 5. №4 (20)

Title: 
Analysis of dimensionless similarity complexes’ influence on steam-assisted gravity drainage using the integral model


For citation: 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

About the authors:

Alexander Ya. Gilmanov, Cand. Sci. (Phys.-Math.), Senior Lecturer, Department of Modeling of Physical Processes and Systems, School of Natural Sciences, University of Tyumen, Tyumen, Russia; a.y.gilmanov@utmn.ru; ORCID: 0000-0002-7115-1629

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.), Associate Professor, Professor, Department of Modeling of Physical Processes and Systems, School of Natural Sciences, University of Tyumen, Tyumen, Russia; a.p.shevelev@utmn.ru; ORCID: 0000-0003-0017-4871

Abstract:

This article analyzes dimensionless complexes of similarity sensitivity of steam-assisted gravity drainage (SAGD) model. The application of SAGD for development of hard-to-recover reserves is complicated by the need to choose a rational development system. Therefore, the task of modeling the process of SAGD with subsequent analysis of sensitivity of technological indexes from the essential parameters and characteristics of the reservoir is relevant. Existing works have not conducted a comprehensive analysis of all values influence. Such analysis is conducted for the first time in this article. This work aims to analyze the influence of main characteristics (steam injection rate, steam temperature, well pattern, depression and repression on wells, reservoir thickness, heat capacity) on technological parameters of SAGD. The main methods include de-dimensioning of the physical and mathematical model of the process and calculations using an explicit finite-difference scheme. Dimensionless similarity complexes with a significant contribution to SAGD are distinguished. Values of sweep efficiency and cost-effective time at different values of selected dimensionless complexes of similarity are defined. The greatest influence on SAGD is affected by three dimensionless similarity complexes, characterizing respectively the ratio of water and oil flows, heat losses vertically and horizontally, and the development system. The results show that there are some effective values of depression on the formation and the distance between pairs of wells. Based on the results of calculations, the authors provide recommendations for the future application of the method on a real field.

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. Fedorov K. M., Gilmanov A. Ya., Shevelev A. P. 2018. “Comparative analysis of different well patterns for steam-assisted gravity drainage”. SPE Russian Petroleum Technology Conference (15-17 October, Moscow, Russia). Article no SPE-191494-18RPTC-RU. DOI: 10.2118/191494-18RPTC-RU [In Russian]

  3. Shevelev A. P., Gilmanov A. Ya. 2019. “Calculating the characteristic parameters of steam-assisted gravity drainage and increasing sweep efficiency”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 5, no 1, pp. 69-86. DOI: 10.21684/2411-7978-2019-5-1-69-86 [In Russian]

  4. Akin S. 2006. “Mathematical modeling of steam-assisted gravity drainage”. Computers & Geosciences, vol. 32, no 2, pp. 240-246. DOI: 10.1016/j.cageo.2005.06.007

  5. 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, no 4, pp. 455-460. DOI: 10.1002/cjce.5450590407

  6. Chung K. H., Butler R. M. 1988. “Geometrical effect of steam injection on the formation of emulsions in the steam-assisted gravity drainage process”. Journal of Canadian Petroleum Technology, vol. 27, no 1, pp. 36-42.

  7. Dong X., Liu H., Hou J., Chen Z., Zhang T. 2015. “An empirical correlation to predict the SAGD recovery performance”. Society of Petroleum Engineers. SPE-176410-MS. DOI: 10.2118/176410-MS

  8. Edmunds N. R., Gittins S. D. 1993. “Effective application of steam assisted gravity drainage of bitumen to long horizontal well pairs”. Journal of Canadian Petroleum Technology, vol. 32, no 6, pp. 49-55. DOI: 10.2118/93-06-05

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

  10. Heidari M., Hejazi S. H., Farouq Ali S. M. 2017. “Steam-assisted gravity-drainage performance with temperature-dependent properties — a semianalytical approach”. SPE Journal, vol. 22, no 3, pp. 902-911. DOI: 10.2118/175036-PA

  11. Hu C., Zhang T., Wang Z., Han B., Zhou G., Ge Z., Zou Z. 2018. “Study on development well pattern of combined steam drive and gravity drainage in a reservoir with interbeds and its application: a case study”. SPE EOR Conference at Oil and Gas West Asia (26-28 March, Muscat, Oman). Article no SPE-190386-MS. DOI: 10.2118/190386-MS

  12. Reis J. C. 1992. “A steam-assisted gravity drainage model for tar sands: linear geometry”. The Journal of Canadian Petroleum Technology, vol. 31, no 10, pp. 14-20. DOI: 10.2118/92-10-01