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Institut für Wasserbau - IWS

Selected Topics and International Network Lectures

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Dienstag
24.01.2006
16:00 Uhr
Prof. Peter King, Department of Science and Engineering, Imperial College London, U.K

Entropy-mediated structure-permeability relations in skeletal porous materials

The aim of this paper is to formulate a new framework for characterisation of porous materials and for obtaining first-principles structure-permeability relaions. The formaslism is based on a representation of the porous medium in skeletal form and involves several steps. First, the skeleton is characterised by a new fabric tensor that describes the local pore structure. Second, the fabric tensor is used to construct a configurational entropy of the porous medium, based on Edwards??? compactivity concept. Both the fabric tensor and the entropic analysis are initially illustrated in two-dimensions and are then extended to three-dimensional systems. Third, the local pore-scale permeability is expressed in terms of the structure of the skeleton and the degrees of freedom that comprise the phase space of configurational states. Fourth, the pore-scale permeability is calculated as an expectation value over the partition function. We propose that the same procedure can be used to find the conductivity of the porous medium when it is filled with brine water. This makes it possible to derive a theoretical relation between these two transport properties.