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Miscible Displacements of Reactive and Anisotropic Dispersive Flows in Porous Media

Transport in Porous Media volume 77, Article number: 489 (2009) Cite this article

Abstract

The viscous fingering instability of miscible reactive–dispersive flows in a homogeneous porous media is investigated through nonlinear numerical simulations. In particular, the role of velocity-dependent transverse and longitudinal dispersions as well as the type and rate of auto-catalytic chemical reactions is analyzed. It is found that for a third-order auto-catalytic reaction, the higher the reaction rate, the more complex the finger structures. Furthermore, major differences between the flow development of third-order and second-order autocatalytic reactions are reported. In addition, the anisotropy and velocity dependence of the dispersion tensor are found to have a more profound effect on the fingering instability in the case of reactive flows than in the non-reactive ones. The qualitative characterization of the finger structures is explained by examining the flow velocity field and further quantified through an analysis of the average concentration and relative contact area.

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Authors and Affiliations

  1. Department of Chemical and Petroleum Engineering, University of Calgary, Calgary, AB, Canada, T2N 1N4

    K. Ghesmat & J. Azaiez

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  1. K. Ghesmat
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  2. J. Azaiez
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Ghesmat, K., Azaiez, J. Miscible Displacements of Reactive and Anisotropic Dispersive Flows in Porous Media. Transp Porous Med 77, 489 (2009). https://doi.org/10.1007/s11242-008-9273-1

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  • DOI: https://doi.org/10.1007/s11242-008-9273-1

Keywords

  • Viscous fingering
  • Anisotropic velocity-dependent dispersion tensor
  • Reactive flows
  • Autocatalytic reactions
  • Homogeneous porous media
  • Nonlinear simulations