Viscous fingering in the presence of weak disorder

Eldad Bettelheim¹ ; Oded Agam¹

¹ Racah Institute of Physics, Edmond J. Safra Campus, Hebrew University of Jerusalem, Jerusalem 91904, Israel

Mathematical modelling of natural phenomena, Tome 15 (2020), article no. 2.

Résumé

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.

Détail

DOI : 10.1051/mmnp/2018055

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