Dresden 2003 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.82: Poster

Donnerstag, 27. März 2003, 15:30–18:00, P1

Predicting physical properties of disordered media from a single tomographic image — •Klaus Mecke¹, Christoph Arns², and Mark Knackstedt² — ¹Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, 70569 Stuttgart — ²Department of Applied Mathematics,Australian National University, Canberra ACT 0200, Australia

The structure of a disordered material - an oil bearing rock, a piece of paper, a polymer composite - is a remarkably incoherent concept. Despite this, scientists and engineers are asked to relate its properties to the structure of its constituent components. Integral Geometry provides a family of morphological functions V_ν(r,Φ) for characterizing and reconstructing complex materials at porosity Φ by using parallel surfaces of distance r. Based on the morphological functions V_ν(r,Φ) one can derive accurate expressions for percolation thresholds, transport properties and phase equilibria in porous media . We illustrate this for the conductivity and elasticity of complex model systems and experimental sandstone samples. In particular, for Boolean models V_ν(r,Φ) is uniquely determined by its value at r=0 at any porosity Φ₀. Thus a single image is sufficient to estimate V_ν(r,Φ) and physical properties which depend one it.