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Abstract

Summary

Normally, when reservoirs specialist solve the multiphase flow of oil, gas and water in petroleum reservoirs the existing wells are not treated with the required details. Well trajectories are poorly defined with respect to the reservoir grid and the well models for capturing the large gradients near the well are too simplified, among other simplifications. It is also true that when well specialists solve the flow in the well the reservoir is considered as a constant pressure body. However, the modern technologies for increasing oil production is focused on the design of the well completion, the so-called “smart wells”. These are complex devices installed along the column which are able to control and creating flow patterns from the reservoir to the well, increasing the production. The design of such completions required the knowledge of the flow characteristics near the well, what is only possible by solving the coupled flow between well and reservoir.

This paper presents a mathematical model for the oil, gas and water in the reservoir and in the well, following by the development of a numerical scheme for solving the coupled flow using a finite volume method. Full permeability tensor is considered, taking into account heterogeneities and anisotropies, with compressible fluids and rock. The unknowns are the mass fractions of the components, opposed to the saturation formulation, which has the numerical difficulty in dealing with the disappearance of the gas phase. For the well a drift flux method is employed solving a 1D flow along the horizontal well using a very stable approach for the pressure-velocity coupling in the well. A Newton-like method is used for both, reservoir and well variables, but using a segregated strategy for the well/reservoir coupling. This has proven to be suitable due to the large differences in the spatial and time scales of the problems. Several three-dimensional coupled multiphase flow were solved, including near well analysis with fractures, demonstrating the capabilities of the method.

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/content/papers/10.3997/2214-4609.20141815
2014-09-08
2024-04-18

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References

  1. Cunha, A. R.
    [1996] A methodology for the numerical simulation of tri-dimensional petroleum reservoir simulation using the black-oil model and mass fractions, Master Dissertation, Federal University of Santa Catarina, in Portuguese.
     [Google Scholar]
  2. Churchill, S. W.
    [1977] Friction Factor Equation Spans All Fluid Flow Regimes, 12th International Congress of Refrigeration, Madrid, Spain, 1069–1077.
     [Google Scholar]
  3. Clemo, T.
    [2006] Flow in Perforated Pipes: A Comparison of Models and Experiments. SPE Production & Operations, SPE 89036, 21(2), 302–311.
     [Google Scholar]
  4. Durlofsky, L. J. and Aziz, K.
    [2004] Advanced Techniques for Reservoir Simulation and Modelling of Non-Conventional Wells, DOE Contract DE-AC26-99BC15213, Final Report, Stanford University, Department of Petroleum Engineering.
     [Google Scholar]
  5. Economides, M. J.
    [1996] Well configurations in anisotropic reservoirs. SPE Formation Evaluation, 257–262, December.
     [Google Scholar]
  6. Hasan, A. R. and Kabir, C. S.
    [1998] A simplified model for oil-water flow in vertical and deviated wellbores. SPE - Society of Petroleum Engineers, SPE Paper 49163.
     [Google Scholar]
  7. Hibiki, T. and Ishii, M.
    [2003] One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes. International Journal of Heat and Mass Transfer.
     [Google Scholar]
  8. Karpinski, L., Tada, M. P., da Silva, A.F.C., Maliska, C. R., SansoniU.JR
    , [2010] Peaceman’s well Model Evaluation for Non-Isolated and Partially Penetrating Wells, Proceedings of the Rio Oil & Gas Expo and Conference.
     [Google Scholar]
  9. Livescu, S., DurlofskyL. AzizK and GinestraJ.C.
    [2009] A fully-coupled thermal multiphase wellbore flow model for use in reservoir simulation, Journal of Petroleum Science and Engineering, 71(3–4), 138–146.
     [Google Scholar]
  10. Maliska, C.R., Cunha, A.R., Livramento, M.A. and Silva, A.F.C.
    [1994] Tridimensional Petroleum Reservoir Simulation Using Generalized Curvilinear Grids”, Proceedings of the V ENCIT, pp. 363–366, São Paulo-SP, Brasil.
     [Google Scholar]
  11. Peaceman, D. W.
    [1983] Interpretation of well-block pressures in numerical reservoir simulation with nonsquare grid blocks and anisotropic permeability. SPE - AIME, 531–543.
     [Google Scholar]
  12. Shi, H.; Holmes, J.; Durlofsky, L.; Aziz, K.; Diaz, L.; Alkaya, B.; Oddie, G
    [2003] Drift- flux modeling of multiphase flow in wellbores. SPE - Society of Petroleum Engineers, n. SPE 84228, 2003.
     [Google Scholar]
  13. Shirdel, M. and SepehenooriK.
    [2009]. Development of a coupled compositional wellbore/reservoir simulator for modelling pressure and temperature distribution in horizontal wells, SPE-Society for Petroleum Engineers, SPE Paper 124806.
     [Google Scholar]
  14. Shen, X., Matsui, R., Mishima, K. and Nakamura, H.
    [2010] Distribution parameter and drift velocity for two-phase flow in a large diameter pipe. Nuclear Engineering and Design, DOI:10.1016/j.nucengdes.2010.01.004.
     https://doi.org/10.1016/j.nucengdes.2010.01.004 [Google Scholar]
  15. SopranoA.B., da SilvaA.F.C., and MaliskaC.R.
    [2012] Numerical Solution of the Multiphase Flow of Oil, Water and Gas in Horizontal Wells in Natural Petroleum Reservoirs. Mecánica Computacional, XXXI: 683–693.
     [Google Scholar]
  16. Tada, M.P., Karpinski, L., da Silva, A.F.C., Maliska, C. R., SansoniU.JR
    , [2010] Two Dimensional Off-Center Well Modeling in Reservoir Simulation, Paper Proceedings of the Rio Oil & Gas Expo and Conference.
     [Google Scholar]
  17. Wolfsteiner, C., Durlofsky, L. J. and Aziz, K.
    [2003] Calculation of well index for nonconventional wells on arbitrary grids. Computational Geosciences7, 82–.
     [Google Scholar]
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Mathematical Modelling and Numerical Simulation of the Well-reservoir Coupling Flow
Conference Proceedings 2014, 1 (2014); https://doi.org/10.3997/2214-4609.20141815
/content/papers/10.3997/2214-4609.20141815
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