Coupled systems mechanics

  • 제8권2호
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  • Pages.147-168
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  • 2019
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  • 2234-2184(pISSN)
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  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
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Numerical simulation of non-isothermal flow in oil reservoirs using a two-equation model

  • 투고 : 2018.09.28
  • 심사 : 2019.01.31
  • 발행 : 2019.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

This work aims to simulate three-dimensional heavy oil flow in a reservoir with heater-wells. Mass, momentum and energy balances, as well as correlations for rock and fluid properties, are used to obtain non-linear partial differential equations for the fluid pressure and temperature, and for the rock temperature. Heat transfer is simulated using a two-equation model that is more appropriate when fluid and rock have very different thermal properties, and we also perform comparisons between one- and two-equation models. The governing equations are discretized using the Finite Volume Method. For the numerical solution, we apply a linearization and an operator splitting. As a consequence, three algebraic subsystems of linearized equations are solved using the Conjugate Gradient Method. The results obtained show the suitability of the numerical method and the technical feasibility of heating the reservoir with static equipment.

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참고문헌

  1. Aouizerate, G., Durlofsky, L.J. and Samier, P. (2011), "New models for heater wells in subsurface simulations, with application to the in situ upgrading of oil shale", Comput. Geosci., 16(2), 519-533. https://doi.org/10.1007/s10596-011-9263-1
  2. Dyrdahl, J. (2014), "Thermal flow in fractured porous media and operator splitting", M.Sc. Dissertation, Norwegian University of Science and Technology, Norway.
  3. Eduardo, R. (2010), "A comprehensive model describing temperature behavior in horizontal wells: Investigation of potential benefits of using downhole distributed temperature measurement system", Ph.D. Dissertation, The Pennsylvania State University, U.S.A.
  4. Ertekin, T., Abou-Kassem, J. and King, G. (2001), Basic Applied Reservoir Simulation, Richardson, Society of Petroleum Engineers, U.S.A.
  5. Ezeuko, C.C. and Gates, I.D. (2018), "Thermal oil recovery from fractured reservoirs: Energy and emissions intensities", Energy, 155, 29-34. https://doi.org/10.1016/j.energy.2018.05.010
  6. Hazra, K.G. (2014), "Comparison of heating methods for in-situ oil shale extration", Ph.D. Dissertation, Texas AM University, Texas, U.S.A.
  7. Hadzalic, E., Ibrahimbegovic, A. and Dolarevic, S. (2018), "Failure mechanisms in coupled soil-foundation systems", Coupled Syst. Mech., 7(1), 27-42. https://doi.org/10.12989/CSM.2018.7.1.027
  8. Hadzalic, E., Ibrahimbegovic, A. and Nikolic, M. (2018), "Failure mechanisms in coupled poro-plastic medium", Coupled Syst. Mech., 7(1), 43-59. https://doi.org/10.12989/CSM.2018.7.1.043
  9. Hsieh,W.H. and Lu, S.F. (2000), "Heat-transfer analysis and thermal dispersion in thermally-developing region of a sintered porous metal channel", Int. J. Heat Mass Transf., 43(16), 3001-3011. https://doi.org/10.1016/S0017-9310(99)00334-8
  10. Lampe, V. (2013), "Modelling fluid flow and heat transport in fractured porous media", M.Sc. Dissertation, University of Bergen, Norway.
  11. Maes, J., Muggeridge, A.H., Jackson, M.D., Quintard, M. and Lapene, A. (2016), "Modelling in-situ upgrading of heavy oil using operator splitting method", Comput. Geosci., 20(3), 581-594. https://doi.org/10.1007/s10596-015-9495-6
  12. Manichand, R.N. (2002), "Analise do desempenho do aquecimento eletromagnetico na recuperacao de reservatorios de petroleo", M.Sc. Dissertation, Rio Grande do Norte State University, Rio Grande do Norte, Brazil.
  13. Moyne, C. and Amaral Souto, H.P. (2014), "Multi-scale approach for conduction heat transfer: One-and two-equation models. Part 1: Theory", Comput. Appl. Math., 33(1), 257-274. https://doi.org/10.1007/s40314-013-0059-x
  14. Moyne, C. and Amaral Souto, H.P. (2014), "Multi-Scale approach for conduction heat transfer: One and two-equation models. Part 2: Results for a stratified medium", Comput. Appl. Math., 33(2), 433-449. https://doi.org/10.1007/s40314-013-0072-0
  15. Moyne, C., Didierjean, S., Amaral Souto, H.P. and Da Silveira, O.T. (2000), "Thermal dispersion in porous media: one-equation model", Int. J. Heat Mass Transf., 43(20), 3853-3867. https://doi.org/10.1016/S0017-9310(00)00021-1
  16. Moukalled, F., Mangani, L. and Darwish, M. (2016), The Finite Volume Method in Computational Fluid Dynamics: An Advanced Introduction with OpenFOAM and Matlab, Springer, Fluid Mechanics and Its Applications, Switzerland.
  17. Nick, H.M., Raoof, A., Centler, F., Thullner, M. and Regnier, P. (2013), "Reactive dispersive contaminant transport in coastal aquifers: Numerical simulation of a reactive Henry problem", J. Contamin. Hydrol., 145, 90-104. https://doi.org/10.1016/j.jconhyd.2012.12.005
  18. Nikolic, M., Ibrahimbegovic, A. and Miscevic, P. (2016), "Discrete element model for the analysis of fluidsaturated fractured poro-plastic medium based on sharp crack representation with embedded strong discontinuities", Comput. Meth. Appl. Mech. Eng., 298, 407-427. https://doi.org/10.1016/j.cma.2015.10.009
  19. Rousset, M.A.H., Huang, C.K. and Durlofsky, H.K.J. (2014), "Reduced-order modeling for thermal recovery processes", Comput. Geosci., 18(3-4), 401-415. https://doi.org/10.1007/s10596-013-9369-8
  20. Vennemo, S.B. (2016), "Multiscale simulation of thermal flowin porous media", M.Sc. Dissertation,Norwegian University of Science and Technology, Trondheim, Norway.