Crossover from fingering to fracturing in deformable disordered media
Name
Holtzman-2010-Crossover from finge.pdf
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Author(s)
Holtzman, Ran
Juanes, Ruben
Date Issued
October 2010
Journal
Physical Review E
Publisher
American Physical Society
Citation
Holtzman, Ran, and Ruben Juanes. “Crossover from fingering to fracturing in deformable disordered media.” Physical Review E 82.4 (2010): 046305. © 2010 The American Physical Society.
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.82.046305
