Similarity solutions for immiscible phase migration in porous media: an analysis of free boundaries

Arieh Pistiner*, Michael Shapiro, Hillel Rubin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

A fuel pollutant migrating in a water flow throughout a porous medium is distributed between the moving (continuous) and residual (discontinuous) phases. Usually, there is an equilibrium condition between these phases. In this study, the migration of a fuel slug confied within free boundaries moving in the porous medium is considered. This type of fuel migration pertains to circumstances in which convective fuel transport dominates fuel dispersion when fuel saturation approaches zero. A one-dimensional self-similar model is developed, describing the movement of fuel saturation fronts in a porous medium against and with the water flow direction. Several analytical solutions are found revealing the effects of the pore size, fuel viscosity, fuel mass, and the capillary number on the fuel migration in the porous medium.

Original languageEnglish
Pages (from-to)491-515
Number of pages25
JournalTransport in Porous Media
Volume5
Issue number5
DOIs
StatePublished - Oct 1990
Externally publishedYes

Keywords

  • capillary number
  • convective dispersion
  • fuel saturation
  • porous media
  • self-similar solutions
  • Two-phase flow

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