By Donald L. Turcotte (auth.), Jörn H. Kruhl (eds.)

ISBN-10: 3662073048

ISBN-13: 9783662073049

ISBN-10: 3662073064

ISBN-13: 9783662073063

Fractal geometry permits the outline of traditional styles and the institution and trying out of types of trend formation. specifically, it's a device for geoscientists. the purpose of this quantity is to offer an outline of the functions of fractal geometry and the speculation of dynamic structures within the geosciences. The cutting-edge is gifted and the reader obtains an impact of the diversity of fields for which fractal geometry is an invaluable device and of the several tools of fractal geometry which are utilized. as well as particular information regarding new functions of fractal geometry in structural geology, physics of the forged earth, and mineralogy, proposals and ideas approximately how fractal geometry should be utilized within the reader's box of reviews should be placed forward.

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Mogi K (1962) The influence of the dimensions of specimens on the fracture strength of rocks: comparison between the strength of rock specimens and that of the Earth's crust. Bull Earthq Res Inst 40: 175-185. Mu ZQ, Lung CW (1988) Studies on the fractal dimension and fracture toughness of steel. J Phys D: Appl Phys 21: 848-850. Nagahama H (1991) Fracturing in the solid earth. Sci Repts Tohoku Univ, 2nd ser (Geol) 61: 103-126. Nagahama H (1992) Scaling laws of rock fragmentations. Earth Monthly 14: 611-615 (In Japanese).

Of ~ractu;es , Sel or f/&Ctu'~ , I 100 120 && B Increasing Fr8cture 60 , II rt! '-" ~ CtfJ o~J at ~ 140 160 180 200 220 240 Fracture Density (d) Fig. 4. Fractal dimension (Df) against fracture density (d). The fractal dimension increases with increasing fracture density, independent of fracture direction set and fracture size range. 3. Deformation of Fractured Rock Masses Numerical experiments, using the distinct element method, have been carried out to study the deformation of the simulated fractured rock-masses.

Bull Seis Soc Am 74: 1409-1426. Main IG, Meredith PG, Jones C (1989) A reinterpretation of the precursory seismic bvalue anomaly from fracture mechanics. Geophys J 96: 131-138. Main IG, Peacock S, Meredith PG (1990) Scattering attenuation and the fractal geometry of fracture systems. Pageoph 133: 283-304. Majima H, Oka Y (1969) A new theory of size reduction. Flotation 38: 5-10 (In Japanese with English abstract). Mandelbrot BB (1977) Fractals: Form, Chance and Dimension. Freeman, San Francisco.

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Fractals and Dynamic Systems in Geoscience by Donald L. Turcotte (auth.), Jörn H. Kruhl (eds.)

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