Miscible Displacements of Reactive and Anisotropic Dispersive Flows in Porous Media |
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Authors: | K Ghesmat and J Azaiez |
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Institution: | (1) Department of Chemical and Petroleum Engineering, University of Calgary, Calgary, AB, Canada, T2N 1N4 |
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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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Keywords: | Viscous fingering Anisotropic velocity-dependent dispersion tensor Reactive flows Autocatalytic reactions Homogeneous porous media Nonlinear simulations |
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