LOCAL ENTROPY CHARACTERIZATION OF CORRELATED RANDOM MICROSTRUCTURES

A rigorous connection is established between the local porosity entrop y introduced by Boger et al. (Physica A 187 (1992) 55) and the configu rational entropy of Andraud et al. (Physica A 207 (1994) 208). These e ntropies were introduced as morphological descriptors derived from loc al volume fluctuations in arbitrary correlated microstructures occurri ng in porous media, composites or other heterogeneous systems. It is f ound that the entropy lengths at which the entropies assume an extremu m become identical for high enough resolution of the underlying config urations. Several examples of porous and heterogeneous media are given which demonstrate the usefulness and importance of this morphological local entropy concept.