Fracturing in the solid Earth

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28 Citations (Scopus)


In the Solid Earth, fracturing is a pervasive phenomenon: weathering, explosion, impact, faulting, earthquake and so forth. Several empirical studies on fractures have demonstrated a power-law dependence of the cumulative number N (r) of fragments of which sizes are larger than size r, N (r) ~ r-D. This is taken as evidence that the fracturing is a scale-invariant process concerning the size distribution. Therefore, fractures can be described from the viewpoint of a fractal. This description derives mathematically the Gaudin-Schuhmann relation and the Charles' relation and is sufficiently in incorporation of the three theories on size reduction: Rittinger's, Kick's and Bond's theories. -from Author

Original languageEnglish
Pages (from-to)103-126
Number of pages24
JournalScience Reports - Tohoku University, Second Series: Geology
Issue number2
Publication statusPublished - 1991


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