| Issue |
Math. Model. Nat. Phenom.
Volume 15, 2020
Growth phenomena
|
|
|---|---|---|
| Article Number | 2 | |
| Number of page(s) | 11 | |
| DOI | https://doi.org/10.1051/mmnp/2018055 | |
| Published online | 24 January 2020 | |
Viscous fingering in the presence of weak disorder
Racah Institute of Physics, Edmond J. Safra Campus, Hebrew University of Jerusalem,
Jerusalem
91904, Israel
* Corresponding author: agam.oded@gmail.com
Received:
16
May
2018
Accepted:
27
August
2018
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.
Mathematics Subject Classification: 76Dxx / 91B62
Key words: Viscous fingereing / Saffman–Taylor problem / disorder / fractal dimension
© EDP Sciences, 2020
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