Multifractal Analysis of Fault Structures in Basement Rocks

  • I. R. Stakhovsky
Conference paper
Part of the Proceedings of the International Conferences on Basement Tectonics book series (ICBT, volume 5)


Theory of fractal sets is broadly used in structural geology for investigating such self-similar processes as faulting (Hirata, 1989) and cracking in rocks (Hirata et al, 1987; Sammis and Biegel, 1989) because it provides the simplest nontrivial description of scale invariance of physical systems. Computer simulation of quasi-static fracture in solids that incorporates lattice models (Louis and Guinea, 1989; Hassold and Srolovitz, 1989) also generates fractal patterns. In geophysical applications, however, multifractal measures are more relevant than fractal sets because geophysical quantities are best described as measures (or fields). This paper presents a multifractal method for describing crack and fault patterns in rocks using computer images of crack (fault) clusters and fault systems as depicted on geologic maps.


Fractal Dimension Basement Rock MULTIFRACTAL Analysis Bond Rupture Singularity Spectrum 
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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • I. R. Stakhovsky
    • 1
  1. 1.Institute of Physics of the EarthRussian Academy of SciencesMoscowRussia

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