Viscous fingering in the presence of weak disorder

Eldad Bettelheim, Oded Agam*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We consider the problem of viscous fingering in the presence of quenched disorder, that is both weak and short-range correlated. The two-point correlation function of the harmonic measure is calculated perturbatively, and is used in order to calculate the correction and the box-counting fractal dimension. We show that the disorder increases the fractal dimension, and that its effect decreases logarithmically with the size of the fractal.

Original languageAmerican English
Pages (from-to)1-11
Number of pages11
JournalMathematical Modelling of Natural Phenomena
Volume15
DOIs
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© EDP Sciences, 2020.

Keywords

  • Disorder
  • Fractal dimension
  • Saffman-Taylor problem
  • Viscous fingereing

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