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On Capillary Slowdown of Viscous Fingering in Immiscible Displacement in Porous Media

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Abstract

Hydrodynamic instability in immiscible porous media flows in the presence of capillarity is investigated here. The analysis and arguments presented here show that the slowdown of instabilities due to capillarity is usually very rapid which makes the flow almost, but not entirely, stable. The profiles of the stable and unstable waves in the far-field are characterized using a novel but very simple approach.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA

    Prabir Daripa

  2. Institute of Mathematics, “Simion Stoillow” of Romanian Academy, Bucharest, 70700, Romania

    G. Paşa

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  1. Prabir Daripa
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  2. G. Paşa
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Correspondence to Prabir Daripa.

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Daripa, P., Paşa, G. On Capillary Slowdown of Viscous Fingering in Immiscible Displacement in Porous Media. Transp Porous Med 75, 1–16 (2008). https://doi.org/10.1007/s11242-008-9211-2

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  • DOI: https://doi.org/10.1007/s11242-008-9211-2

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