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NUMERICAL ANALYSIS OF VISCOUS FINGERING INSTABILITY DUE TO MISCIBLE DISPLACEMENT

Authors
  • Nemati, A.1
  • Saffari, H.1
  • Vamerzani, B. Z.1
  • Azizi, R.1
  • Hosseinalipoor, S. M.1
  • Miri, H.1
  • 1 School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran , Tehran (Iran)
Type
Published Article
Journal
Journal of Applied Mechanics and Technical Physics
Publisher
Pleiades Publishing
Publication Date
Jul 01, 2020
Volume
61
Issue
4
Pages
539–545
Identifiers
DOI: 10.1134/S0021894420040069
Source
Springer Nature
Keywords
License
Yellow

Abstract

AbstractIn this study, miscible viscous fingering instability is examined numerically by using the two-phase Darcy’s law and transport equations. The effects of the viscosity ratio, anisotropic permeability, and porosity on instabilities are investigated. The finger patterns and their splitting and spreading in the domain are discussed. An image processing algorithm is applied to concentration contours to quantify instability parameters, such as the breakthrough time, efficiency, and fractal dimension. It is revealed that more complex fingers are obtained as the viscosity ratio increases, while the efficiency and the breakthrough time decrease. It is demonstrated that high permeability perpendicular to the flow direction leads to instability intensification and to an increase in the fractal dimension, whereas changing the porosity does not have any considerable impact on viscous fingering instability.

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