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Remarks on some properties of geometrical multifractals

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  • Saucier, Antoine
  • Muller, Jiri

Abstract

In a porous medium the local density often exhibits spatial variations. These variations can be characterized by a multifractal spectrum, as long as suitable scaling characteristics are present. We derive some of the properties of geometrical multifractals, and show with examples how such objects can be constructed.

Suggested Citation

  • Saucier, Antoine & Muller, Jiri, 1993. "Remarks on some properties of geometrical multifractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 350-362.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:3:p:350-362
    DOI: 10.1016/0378-4371(93)90054-8
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    References listed on IDEAS

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    1. Blacher, Silvia & Brouers, François & Ananthakrishna, G., 1992. "Multifractal analysis, a method to investigate the morphology of materials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 28-34.
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    Cited by:

    1. El Ouassini, Ayoub & Saucier, Antoine & Marcotte, Denis & Favis, Basil D., 2008. "A patchwork approach to stochastic simulation: A route towards the analysis of morphology in multiphase systems," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 418-436.
    2. Saucier, Antoine & Muller, Jiri, 1999. "Textural analysis of disordered materials with multifractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 267(1), pages 221-238.
    3. Saucier, Antoine, 1996. "Scaling properties of disordered multifractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(1), pages 34-63.

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