Crossover from fingering to fracturing in deformable disordered media

Ran Holtzman; Ruben Juanes

doi:10.1103/PhysRevE.82.046305

Crossover from fingering to fracturing in deformable disordered media

Ran Holtzman, Ruben Juanes

Massachusetts Institute of Technology

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Abstract

We investigate the displacement of one fluid by another in a deformable medium with pore-scale disorder. We develop a model that captures the dynamic pressure redistribution at the invasion front and the feedback between fluid invasion and microstructure rearrangement. Our results suggest how to collapse the transition
between invasion percolation and viscous fingering in the presence of quenched disorder. We predict the emergence of a fracturing pattern for sufficiently deformable media, in agreement with observations of drainage in granular material. We identify a dimensionless number that appears to govern the crossover from
fingering to fracturing.

Original language	English
Article number	046305
Number of pages	5
Journal	Physical Review E
Volume	82
DOIs	https://doi.org/10.1103/PhysRevE.82.046305
Publication status	Published - 14 Oct 2010

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Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

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Crossover from fingering to fracturing in deformable disordered media

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