Corpus ID: 237532295

Pore-network models and effective medium theory: A convergence analysis

@inproceedings{Edwards2021PorenetworkMA,
  title={Pore-network models and effective medium theory: A convergence analysis},
  author={Jack Edwards and Peter Berg},
  year={2021}
}
  • Jack Edwards, Peter Berg
  • Published 15 September 2021
  • Physics
The convergence between effective medium theory and pore-network modelling is examined. Electrical conductance on two and three-dimensional cubic resistor networks is used as an example of transport through composite materials or porous media. Effective conductance values are calculated for the networks using effective medium theory and pore-network models. The convergence between these values is analyzed as a function of network size. Effective medium theory results are calculated analytically… Expand

References

SHOWING 1-10 OF 31 REFERENCES
Diffusion in pore networks: Effective medium theory and smooth field approximation
The problem of diffusion in pore networks of a certain class is considered, and a procedure for estimating diffusivities is formulated. The effective-medium theory is used to obtain an effectiveExpand
Review of pore network modelling of porous media: Experimental characterisations, network constructions and applications to reactive transport.
TLDR
Pore network models are found to be a valuable tool for understanding and predicting meso-scale phenomena, linking single pore processes, where other techniques are more accurate, and the homogenised continuum porous media, used by engineering community. Expand
OpenPNM: A Pore Network Modeling Package
TLDR
This work outlines the OpenPNM package, which was jointly developed by several porous media research groups to help address the gap in software options for simulating multiphase transport in porous materials. Expand
Percolation and Conduction
Extensions of percolation theory to treat transport are described. Resistor networks, from which resistors are removed at random, provide the natural generalization of the lattice models for whichExpand
Effective-medium theories for site-disordered resistance networks
We develop and discuss different effective-medium theories (EMT's) for the calculation of the conductivity of site-disordered resistance networks. Our EMT's are based on certain treatments of aExpand
New network permeability model of porous media
In this study a new mathematical model for predicting permeabilities of porous media has been developed. The model consists of a set of cubic networks of arbitrary orientations with respect to theExpand
Percolation theory of two phase flow in porous media
The simultaneous flow of two phases through porous media has long lacked a sound theoretical description, due, in large measure, to the complex geometry and topology of the pore space, and theExpand
Effective transport coefficients in PEM fuel cell catalyst and gas diffusion layers: Beyond Bruggeman approximation
The Bruggeman approximation has widely been used for estimating the effective conductivity and diffusivity of both the catalyst and gas diffusion layers of polymer electrolyte membrane (PEM) fuelExpand
Random pore-network model for polymer electrolyte membranes.
TLDR
A random pore-network model for polymer electrolyte membranes (PEM) is presented that couples the flow of protons and water through cylindrical channels to the swelling of the membrane and points to the importance of describing proton diffusion in PEM nanopores accurately. Expand
ELECTROPHYSICAL PROPERTIES OF POLYMER ELECTROLYTE MEMBRANES : A RANDOM NETWORK MODEL
A random network model of charge transport in porous polymer membranes is proposed and investigated by means of an effective medium theory. Specific conductivity and geometrical capacity (dielectricExpand
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