A Semi-analytical Solution for One-Dimensional Oil Displacement by Miscible Gas in a Homogeneous Porous Medium

  • Luana C. M. Cantagesso
  • Luara K. S. Sousa
  • Tamires A. Marotto
  • Anna M. Radovanovic
  • Adolfo Puime Pires
  • Alvaro M. M. Peres


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.



The authors wish to express their gratitude for the financial support provided by the Brazilian Government Agencies CAPES and CNPq, by Petrobras SIGER Research Network, and by the Universidade Estadual do Norte Fluminense (UENF).


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Luana C. M. Cantagesso
    • 1
  • Luara K. S. Sousa
    • 1
  • Tamires A. Marotto
    • 1
  • Anna M. Radovanovic
    • 1
  • Adolfo Puime Pires
    • 1
  • Alvaro M. M. Peres
    • 1
  1. 1.Universidade Estadual do Norte FluminenseMacaéBrazil

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