Control of radial miscible viscous fingering

Vandita Sharma*, Sada Nand, Satyajit Pramanik, Ching Yao Chen, Manoranjan Mishra

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

We investigate the stability of radial viscous fingering (VF) in miscible fluids. We show that the instability is determined by an interplay between advection and diffusion during the initial stages of flow. Using linear stability analysis and nonlinear simulations, we demonstrate that this competition is a function of the radius of the circular region initially occupied by the less-viscous fluid in the porous medium. For each , we further determine the stability in terms of Péclet number and log-mobility ratio . The parameter space is divided into stable and unstable zones: the boundary between the two zones is well approximated by. In the unstable zone, the instability is reduced with an increase in. Thus, a natural control measure for miscible radial VF in terms of is established. Finally, the results are validated by performing experiments that provide good qualitative agreement with our numerical study. Implications for observations in oil recovery and other fingering instabilities are discussed.

Original languageEnglish
Article numberA16
Number of pages14
JournalJournal of Fluid Mechanics
Volume884
DOIs
StatePublished - 10 Feb 2020

Keywords

  • convection in porous media
  • fingering instability
  • Hele-Shaw flows

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