A semi-analytical solution for one-dimensional oil displacement by miscible gas in a homogeneous porous medium.

*(English)*Zbl 1446.76156
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. Basel: Birkhäuser. 81-95 (2019).

Summary: In an enhanced oil recovery (EOR) project, materials not present in the reservoir are injected to improve the final oil recovery. Historically, gas flooding has been the second most applied EOR method. Recently, carbon dioxide injection has become more attractive because it is also environmentally friendly. In this chapter, we present a solution for oil displacement by miscible gas injection at constant rate. Our model considers a three-component, two-phase, 1-D incompressible flow in a homogeneous isothermal system. Dispersion, gravity, and capillary effects are neglected. Moreover, it is assumed that Amagat’s law is valid and that viscosity depends on the phase composition only. This problem is governed by a system of two hyperbolic equations and is solved by the method of characteristics for saturation and concentrations. Then, the pressure profile is obtained by integrating Darcy’s law over the spatial domain. This general solution is applied to a typical set of rock and fluid data.

For the entire collection see [Zbl 1417.65006].

For the entire collection see [Zbl 1417.65006].

##### MSC:

76S05 | Flows in porous media; filtration; seepage |

76T30 | Three or more component flows |

76M99 | Basic methods in fluid mechanics |

65M25 | Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs |

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\textit{L. C. M. Cantagesso} et al., in: Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16--20, 2018. Basel: Birkhäuser. 81--95 (2019; Zbl 1446.76156)

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##### References:

[1] | Bedrikovetsky, P. G.: Mathematical Theory of Oil and Gas Recovery, Kluwer Academic Publishers, London (1993). |

[2] | Buckley, S. E., and Leverett, M. C.: Mechanisms of fluid displacement in sands. Amer. Inst. Min. Metall. Pet. Eng., 146, 107-116 (1942). |

[3] | Corey, A. T., Rathjens, C. H., Henderson, J. H., and Wyllie, M. R. J.: Three-phase relative permeability. J. Can. Pet. Technol., 8, 63-65 (1956). |

[4] | Koottungal, L.: Survey: Miscible CO_2 continues to eclipse steam in US EOR production. Oil & Gas Journal, 112.4, 78-91 (2014). |

[5] | Lake, W. L.: Enhanced Oil Recovery, Prentice-Hall, Englewood Cliffs, NJ (1989). |

[6] | Malik, M. M., and Islam, M. R.: CO_2 Injection in the Weyburn Field of Canada: Optimization of Enhanced Oil Recovery and Greenhouse Gas storage with horizontal wells. In SPE/DOE Improved Oil Recovery Symposium, Tulsa, OK, SPE 59327 (2000). |

[7] | McGuire, P. L., and Stalkup F.I.: Performance analysis and optimization of the Prudhoe Bay miscible-gas project. SPE Reservoir Engineering, 10, 88-93, SPE 22398 (1995). |

[8] | Mizenko, G. J.: North Cross (Devonian) Unit CO_2 Flood: Status Report. In SPE/DOE Improved Oil Recovery Symposium, Tulsa, OK, SPE 24210 (1992). |

[9] | Orr Jr., F. M., and Taber, J. J.: Use of carbon dioxide in Enhanced Oil Recovery. Science, 24, 563-569 (1984). |

[10] | Orr Jr., F. M.: Theory of Gas Injection Processes, Tie-Line Publications, Copenhagen, Denmark (2007). |

[11] | Peres, A. M. M., and Reynolds, A. C.: Theory and analysis of injectivity tests on horizontal wells. SPE J., 8(2), 147-159, SPE 84957 (2003). |

[12] | Pedersen, K. S., and Christensen, P. L.: Phase Behavior of Petroleum Reservoir Fluids, Taylor & Francis Group, Boca Raton, FL (2006). |

[13] | Pires, A. P., and Bedrikovetsky, P. G.: Analytical modeling of 1D n-component miscible displacement of ideal fluids. In SPE Latin American and Caribbean Petroleum Engineering, Rio de Janeiro, Brazil, SPE 94855 (2005). |

[14] | Peng, D. Y., and Robinson, D. B.: A new two-constant equation of state. Industrial & Engineering Chemistry Fundamentals, 15, 59-64 (1976). |

[15] | Prausnitz, J. M., Lichtenthaler, R. N., and Azevedo, E. G.: Molecular Thermodynamics of Fluid-Phase Equilibria, Prentice-Hall, Englewood Cliffs, NJ (1986). |

[16] | Scardini, R. B.: Utilizacão de um algoritmo genético para agrupamento de componentes de petróleo condicionada a experimentos PVT. M.Sc. Thesis, Universidade Estadual do Norte Fluminense, Macaé (2017). |

[17] | Shaw, J., and Bachu, S.: Screening, evaluation, and ranking of oil reservoirs suitable for CO_2-flood EOR and carbon dioxide sequestration. Journal of Canadian Petroleum Technology, 41, 51-61 (2002). |

[18] | Tanner, C. S., Baxley, P. T., Crump, J. G., and Miller, W. C.: Production performance of the Wasson Denver unit CO_2 flood. In SPE/DOE Improved Oil Recovery Symposium, Tulsa, OK, SPE 24156 (1992). |

[19] | Varotsis, N., Stewart G., Todd, A. C., and Clancy, M.: Phase behavior of systems comprising North Sea reservoir fluids and injection gases. Journal of Petroleum Technology, 41, 1221- |

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