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Merceron & Velde 1991
Merceron, T. and Velde, B. (1991). Application of cantor’s method for fractal analysis of fractures in the Toyoha mine, Hokkaido, Japan. Journal of Geophysical Research 96. doi: 10.1029/91JB01419. issn: 0148-0227.

Cantor's method has been used for fractal analysis of fractures in the Toyoha mine, Hokkaido, Japan. The analyses were performed on a two-dimensional area ranging from 30 cm2 to 220 km2. Cantor's analysis predicts the probability of fracture occurrence in rocks in a given distance. The probability of finding a fractured zone of length x is given by P=x-D where D is the fractural dimension. In the Toyoha mine the samples collected in Sugo an Izumo veins are characterized by D values of 0.25 and 0.10--0.24, repectively. The distribution of fractures in galleries (200 m long) is very similar (D=0.17). At a kilometer scale the dispositon of veins varies according to the directions of observations: D=0.20 (E-W) and 0.25--0.28 (NW-SE). At a larger scale (Landsat map) the fault distribution appears very similar in all directions (0.22<D<0.25). In the vincinity of the Toyoha mine the fracture disposition is fractual at all scales of observations. Despite a scale factor that can vary by 106 the distribution of fractures remains fractal with similar numbers (average D=0.25). Moreover, D values gradually change according to the distance from the Toyoha mine, suggesting that the type of rupture and consequently the nature of stress are different far from the Toyoha mine. ¿American Geophysical Union 1991

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Abstract

Keywords
Physical Properties of Rocks, Fracture and flow, Tectonophysics, Continental tectonics—general, Physical Properties of Rocks, Permeability and porosity
Journal
Journal of Geophysical Research
http://www.agu.org/journals/jb/
Publisher
American Geophysical Union
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