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Direct relations between morphology and transport in Boolean models.

Christian Scholz1,2, Frank Wirner1, Michael A Klatt3

  • 12. Physikalisches Institut, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 14, 2015
PubMed
Summary
This summary is machine-generated.

Researchers found a power-law relationship between pore structure (Euler characteristic) and fluid flow (permeability) in Boolean models. They generalized this for various structures, noting deviations when grains conduct fluid, highlighting discretization effects near percolation.

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Area of Science:

  • Physics of Fluids
  • Materials Science
  • Computational Modeling

Background:

  • Porous materials exhibit complex relationships between their structure and fluid transport properties.
  • Boolean models, representing overlapping grains, are used to simulate porous structures.
  • Existing permeability-morphology relations are often limited to specific structural configurations.

Purpose of the Study:

  • To investigate the relationship between permeability and morphology in Boolean models of porous structures.
  • To develop a generalized permeability-morphology relation applicable to a wider range of structures.
  • To understand the influence of structural discretization and percolation effects on fluid flow.

Main Methods:

  • Microfluidic experiments to measure permeability.
  • Lattice Boltzmann simulations for fluid flow analysis.
  • Monte Carlo simulations to study the Euler characteristic of open clusters.
  • Analysis using Minkowski functionals for characterizing structures.

Main Results:

  • A power-law relation was found between the Euler characteristic of the conducting phase and its permeability.
  • A generalized relation was developed for arbitrary Boolean models using Minkowski functionals.
  • Deviations were observed for fluid transport within the grain phase, linked to spatial discretization and isolated pixels.
  • Different applicability regimes for the permeability-morphology relations were identified near and far from the percolation threshold.

Conclusions:

  • The generalized permeability-morphology relation extends the applicability of predictive models for porous media.
  • Spatial discretization and the presence of isolated elements significantly impact flow predictions in grain-conducting systems.
  • Understanding percolation effects is crucial for accurately describing fluid flow in porous structures.