Study of oil filtration in porous media under the steam-assisted gravity drainage process

Authors

  • A.A. Kostina Institute of Continuous Media Mechanics UB RAS
  • M.S. Zhelnin Institute of Continuous Media Mechanics UB RAS
  • O.A. Plekhov Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/1998-2097/2018.3.1

Keywords:

steam-assisted gravity drainage method, finite element method, numerical simulation, multicomponent flow, multiphysical modeling

Abstract

This work is devoted to the development and computer realization of a three-dimensional mathematical model describing the processes of flow, filtration and phase transition during the hot steam injection into a rock mass. The specific feature of the developed model is the possibility to take into account the dependence of thermophysical properties of each component in a multicomponent flow on time or spatial coordinates. It is assumed that considered media is a multicomponent system consisting of steam, oil and water filling the pore space. The developed model includes mass balance equation for components characterizing water and steam saturations, the condition of a fully saturated media to define the oil component of the flow, Darcy’s law for the filtration flow of the multicomponent stream and the law of conservation of energy taking into account the convective heat transfer and the source describing the «steam-water» phase transition. Computer realization of the proposed model is based on the transformation of the system of equations in such a way that the values of steam and water saturations as well as pressure act as unknown variables; representation of the resulting system of equations in a weak form and the introduction of additional stabilization terms. The adequacy of the proposed model and the efficiency of the developed approach to its implementation are illustrated by a three-dimensional numerical simulation of oil production process through the steam-assisted gravity drainage method in the oil sand.

Supporting Agencies
Работа выполнена при финансовой поддержке гранта Президента Российской Федерации для государственной поддержки молодых российских ученых МК-4174.2018.1 и Программы фундаментальных исследований УрО РАН (проект 18-9-1-31)

Author Biographies

  • A.A. Kostina, Institute of Continuous Media Mechanics UB RAS
    кандидат физико-математических наук, младший научный сотрудник
  • M.S. Zhelnin, Institute of Continuous Media Mechanics UB RAS
    аспирант
  • O.A. Plekhov, Institute of Continuous Media Mechanics UB RAS
    доктор физико-математических наук, заместитель директора по науке

References

  1. Zeltov U.P. Mehanika neftegazonosnogo plasta. - M.: Nedra, 1975. - 216 s.
  2. Uribe-Patino J.A., Alzate-Espinosa G.A., Arbelaez-Londono A. Geomechanical aspects of reservoir thermal alteration: A literature review // J. of Petroleum Science and Engineering. - 2017. - Vol. 152. - P. 250-266.
  3. Weizhong C., Xianjun T., Hongdan Y., Guojun W., Shanpo J. A fully coupled thermo-hydro-mechanical model for unsaturated porous media // J. of Rock Mechanics and Geotechnical Engineering. - 2009. - Vol. 1. - No 1. - P. 31-40.
  4. Butler R.M., McNab G.S., Lo H.Y. Theoretical studies on the gravity drainage of heavy oil during in-situ steam heating // Canadian Journal of Chemical Engineering. - 1981. - Vol. 59. - No 4. - P. 455-460.
  5. Reiss J.C. A steam - assisted gravity drainage model for tar sands: linear geometry // J. of Canadian Petroleum Technology. - 1992. - Vol. 10. - No 1. - P. 14-20.
  6. Akin S. Mathematical modeling of steam-assisted gravity drainage // Computers & Geosciences. - 2006. - Vol. 32. - P. 240-246.
  7. Shaolei W., Linsong C., Wenjun H., Shijun H., Shuai L. Prediction for steam chamber development and production performance in SAGD process // J. of Natural Gas Science and Engineering. - 2014. - Vol. 19. - P. 303-310.
  8. Shia X., Okunob R. Analytical solution for steam-assisted gravity drainage with consideration of temperature variation along the edge of a steam chamber // Fuel. - 2018. - Vol. 217. - P. 262-274.
  9. Liu H., Cheng H., Huang S., Jia P., Chen M. Evolution characteristics of SAGD steam chamber and its impacts on heavy oil production and heat consumption // International J. of Heat and Mass Transfer. - 2018. - Vol. 121. - P. 579-596.
  10. Mozaffari S., Nikookar M., Ehsani M.R., Sahranavard L., Roayaie E., Mohammadi A.H. Numerical modeling of steam injection in heavy oil reservoirs // Fuel. - 2013. - Vol. 112. - P. 185-192.
  11. Wang X., Hua Shao H., Hesser J., Zhang C., Wang W., Kolditz O. Numerical analysis of thermal impact on hydro-mechanical properties of clay // J. of Rock Mechanics and Geotechnical Engineering. - 2014. - Vol. 6. - P. 405-416.
  12. Gajo A., Cecinato F., Loret B. A computational framework for immiscible three-phase flow in deformable porous media // J. of Petroleum Science and Engineering. - 2018. - Vol. 165. - P. 516-534.
  13. Chen W., Tan X., Yu H., Wu G., Jia S. A fully coupled thermo-hydro-mechanical model for unsaturated porous media // J. of Rock Mechanics and Geotechnical Engineering. - 2009. - Vol.1. - No 1. - P. 31-40.
  14. Yin Y., Li Y. FEM Analysis of Fluid-Structure Interaction in Thermal Heavy Oil Recovery Operations // Sustainability. - 2015. - Vol. 7. - P. 4035-4048.
  15. Lin B., Chen S., Jin Y. Evaluation of reservoir deformation induced by water injection in SAGD wells considering formation anisotropy, heterogeneity and thermal effect // J. of Petroleum Science and Engineering. - 2017. - Vol.157. - P.767-779.
  16. Zandi S. Numerical modeling of geomechanical effects of steam injection in SAGD heavy oil recovery / Dissertation deg. of Doctor of Philosophy. - Paris, Ecole Nationale Superieure des Mines de Paris, 2011. - P. 259.
  17. Sozen M., Vafai K. Analysis of the Non-Thermal Equilibrium Condensing Flow of a Gas Through a Packed Bed // International J. of Heat and Mass Transfer. - 1990. - Vol. 33. - P.1247-1261.
  18. Wang C.Y., Cheng P. Multidimensional modeling of steam injection into porous media // Transactions of the ASME. - 1998. - Vol. 120. - P. 286-289.
  19. Nguyen T. S., Selvadurai A.P.S., Armand G. Modeling the FEBEX THM experiment using a state surface approach // International J. of Rock Mechanics and Mining Sciences. - 2005. - Vol. 42. - No 5-6. - P. 639-651.
  20. Lee H., Kharangate C., Mascarenhas N., Park I., Mudawar I. Experimental and computational investigation of vertical downflow condensation// International J. of Heat and Mass Transfer. - 2015. - Vol. 85. - P. 865-879.
  21. Chen Z., Ewing R.E. Comparison of various formulations of three-phase flow in porous media// J. of computational physics. - 1997. - Vol. 132. - P. 362-373.

Published

2018-11-02

Issue

Section

Research: theory and experiment

How to Cite

Kostina, A. ., Zhelnin, M. ., & Plekhov, O. . (2018). Study of oil filtration in porous media under the steam-assisted gravity drainage process. Perm Federal Research Centre Journal, 3, 6-16. https://doi.org/10.7242/1998-2097/2018.3.1