Boolean reconstructions of complex materials: Integral geometric approach

C. H. Arns, M. A. Knackstedt, K. R. Mecke

    Research output: Contribution to journalArticlepeer-review

    30 Citations (Scopus)

    Abstract

    We show that for the Boolean model of random composite media one can, from a single image of a system at any particle fraction, define a set of parameters which allows one to accurately reconstruct the medium for all other phase fractions. The morphological characterization is based on a family of measures known in integral geometry which provides powerful formulas for the Boolean model. The percolation thresholds of either phase are obtained with good accuracy. From the reconstructions one can subsequently predict property curves for the material across all phase fractions from the single three-dimensional image. We illustrate this for transport and mechanical properties of complex Boolean systems and for experimental sandstone samples.

    Original languageEnglish
    Article number051303
    JournalPhysical Review E
    Volume80
    Issue number5
    DOIs
    Publication statusPublished - 30 Nov 2009

    Fingerprint

    Dive into the research topics of 'Boolean reconstructions of complex materials: Integral geometric approach'. Together they form a unique fingerprint.

    Cite this