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Area of Science:

  • Physics
  • Materials Science
  • Geophysics

Background:

  • Fluid transport in porous materials is well-studied in geological and idealized systems.
  • However, fluid flow through compacted, deformable granular materials remains underexplored.

Purpose of the Study:

  • To investigate liquid transport in packings of deformable elastic shells.
  • To understand the critical porosity threshold for fluid flow cessation.

Main Methods:

  • Utilized finite-element and lattice-Boltzmann methods for numerical simulations.
  • Developed a simplified permeability model using disordered capillaries.

Main Results:

  • Identified an abrupt vanishing of fluid flow below a critical porosity.
  • Observed flow obstruction characteristics of a percolation transition.
  • Showcased that hydraulic tortuosity diverges and hydraulic radius decreases near the percolation threshold.

Conclusions:

  • Fluid flow in compacted granular materials exhibits percolation transition phenomena.
  • A simplified model of disordered capillaries effectively captures flow behavior.
  • Results align with scaling predictions from percolation theory for random sphere packings.