Viscous fingering in the presence of weak disorder

Eldad Bettelheim; Oded Agam

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arXiv · 1805.06609

Viscous fingering in the presence of weak disorder

Eldad Bettelheim·Oded Agam

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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 the 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.

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Eldad Bettelheim, Oded Agam. 2018-05-17. Viscous fingering in the presence of weak disorder. https://arxiv.org/abs/1805.06609

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