Review on Scale Dependent Characterization of the Microstructure of Porous Media

Details Review on Scale Dependent Characterization of the Microstructure of Porous Media Review on Scale Dependent Characterization of the Microstructure of Porous Media

Publishing date

2001-05-23

URL

arxiv.org/abs/cond-mat/0105458v1

Science

Physics

Field

Condensed Matter

SubField

Disordered Systems and Neural Networks

Additional info

20 pages, Latex, 1 Figure. to appear in: Transport in Porous Media, 2001

Type

Scientific paper

Abstract

The paper discusses local porosity theory and its relation with other geometric characterization methods for porous media such as correlation functions and contact distributions. Special emphasis is placed on the charcterization of geometric observables through Hadwigers theorem in stochastic geometry. The four basic Minkowski functionals are introduced into local porosity theory, and for the first time a relationship is established between the Euler characteristic and the local percolation probabilities. Local porosity distributions and local percolation probabilities provide a scale dependent characterization of the microstructure of porous media that can be used in an effective medium approach to predict transport.

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