Equivalent diffusion coefficient and equivalent diffusion accessible porosity of a stratified porous medium

Marijke Huysmans, A. Dassargues

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Diffusion is an important transport process in low permeability media, which play an important role in contamination and remediation of natural environments. The calculation of equivalent diffusion parameters has however not been extensively explored. In this paper, expressions of the equivalent diffusion coefficient and the equivalent diffusion accessible porosity normal to the layering in a layered porous medium are derived based on analytical solutions of the diffusion equation. The expressions show that the equivalent diffusion coefficient changes with time. It is equal to the power average with p = -0.5 for small times and converges to the harmonic average for large times. The equivalent diffusion accessible porosity is the harmonic average of the porosities of the individual layers for all times. The expressions are verified numerically for several test cases.
Original languageEnglish
Pages (from-to)421-438
Number of pages18
JournalTransport in Porous Media
Volume66
Publication statusPublished - 2007

Keywords

  • equivalent diffusion coefficient
  • equivalent diffusion accessible porosity
  • stratified porous medium

Fingerprint

Dive into the research topics of 'Equivalent diffusion coefficient and equivalent diffusion accessible porosity of a stratified porous medium'. Together they form a unique fingerprint.

Cite this