Crossover from fingering to fracturing in deformable disordered media

Ran Holtzman and Ruben Juanes
Phys. Rev. E 82, 046305 – Published 14 October 2010

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 3 March 2010

DOI:https://doi.org/10.1103/PhysRevE.82.046305

©2010 American Physical Society

Authors & Affiliations

Ran Holtzman and Ruben Juanes*

  • Massachusetts Institute of Technology, 77 Massachusetts Avenue, Building 48-319, Cambridge, Massachusetts 02139, USA

  • *juanes@mit.edu

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 82, Iss. 4 — October 2010

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×