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Updated: Jun 5, 2026
09:12
A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
Published on: June 28, 2015
Crossover from fingering to fracturing in deformable disordered media
1Massachusetts Institute of Technology, 77 Massachusetts Avenue, Building 48-319, Cambridge, Massachusetts 02139, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
Summary
We model fluid displacement in disordered, deformable porous media. A new dimensionless number predicts transitions from viscous fingering to fracturing patterns in granular materials.
Area of Science:
- Geophysics
- Fluid Dynamics
- Materials Science
Background:
- Fluid displacement in porous media is crucial for subsurface processes.
- Pore-scale disorder and medium deformability significantly influence invasion dynamics.
Purpose of the Study:
- To model fluid displacement in deformable porous media with pore-scale disorder.
- To understand the interplay between fluid invasion and microstructure rearrangement.
- To identify mechanisms governing the transition between different invasion patterns.
Main Methods:
- Development of a pore-scale model capturing dynamic pressure redistribution.
- Analysis of the feedback loop between fluid invasion and medium deformation.
- Identification of a governing dimensionless number.
Main Results:
- The model captures dynamic pressure changes at the invasion front.
- A transition from viscous fingering to fracturing patterns is predicted for deformable media.
- Observed fracturing patterns align with experimental data from granular materials.
Conclusions:
- The study provides a framework for understanding fluid invasion in complex media.
- A dimensionless number is identified that governs the crossover from fingering to fracturing.
- Results offer insights into phenomena like drainage in granular systems.
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