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Licensed Unlicensed Requires Authentication Published by De Gruyter May 31, 2013

Estimation of the probability of finite percolation in porous microstructures from tomographic images

Joachim Ohser , Claudio Ferrero , Oliver Wirjadi , Alina Kuznetsova , Jochen Düll and Alexander Rack

Abstract

Percolation is an important property of porous media, as it describes the connectivity of pores. We propose a novel, direction-dependent percolation probability which can be efficiently estimated from three-dimensional images obtained by microtomography. Furthermore, in order to describe the penetrability of the pore space by particles of a given diameter or a fluid of a given surface tension, we introduce a percolation probability depending on the width of the pores, from which we may also derive a measure of the mean pore channel width. As application examples, we consider the penetrability of porous beryllium pebbles, the connectivity of pores in arctic firn, the percolation of the pore space of aluminum foams and the mean width of the percolating space between the fibers in a laminate's percolating pore space.


* Correspondence address Prof. Joachim Ohser, University of Applied Sciences Darmstadt, Dept. of Mathematics and Natural Sciences Schöffer-Straße 3, D-64295 Darmstadt, Germany, Tel.: +49 6151 168 659, Fax: +49 6151 168 975, E-mail:

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Received: 2011-8-3
Accepted: 2011-10-27
Published Online: 2013-05-31
Published in Print: 2012-02-01

© 2012, Carl Hanser Verlag, München

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