The instability of thermal and fluid fronts during radial injection in a porous medium

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

We investigate viscous fingering instabilities of the double-front system which results when fluid is injected into a porous medium containing fluid of a different composition and temperature. We describe a linear stability analysis based on an eigenfunction expansion method which enables us to investigate the structure of the discrete eigenvalue spectrum. We investigate the extent to which the properties of each front contribute to the tendency of the system to become unstable: we find that instabilities on the compositional front dominate because of the high ratio of thermal to solute diffusion. It is difficult for a stable compositional front to stabilize an unstable thermal front; however, this situation can result in a new fingering phenomenon in which the perturbations undergo coupled oscillations of growing amplitude.
Original languageEnglish
Pages (from-to)133-163
Number of pages31
JournalJournal of Fluid Mechanics
Volume508
DOIs
Publication statusPublished - 2004

Keywords

  • fluid dynamics
  • physics
  • unstable thermal front

Fingerprint Dive into the research topics of 'The instability of thermal and fluid fronts during radial injection in a porous medium'. Together they form a unique fingerprint.

Cite this