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Fractals and dynamic systems in geoscience
1 online resource (vi, 421 pages) : illustrations
Fractal geometry allows the description of natural patterns and the establishment and testing of models of pattern formation. In particular, it is a tool for geoscientists. The aim of this volume is to give an overview of the applications of fractal geometry and the theory of dynamic systems in the geosciences. The state of the art is presented and the reader obtains an impression of the variety of fields for which fractal geometry is a useful tool and of the different methods of fractal geometry which can be applied. In addition to specific information about new applications of fractal geometry in structural geology, physics of the solid earth, and mineralogy, proposals and ideas about how fractal geometry can be applied in the reader's field of studies will be put forward.
1. Crustal deformation and fractals, a review / D.L. Turcotte -- 2. Scaling laws of fragmentation / H. Nagahama and K. Yoshii -- 3. Fractal structure and deformation of fractured rock masses / X. Zhang and D.J. Sanderson -- 4. Multi-scale model of damage evolution in stochastic rocks: fractal approach / V.V. Silberschmidt and V.G. Silberschmidt -- 5. Fractal characteristics of joint development in stochastic rocks / V.V. Silberschmidt -- 6. Correlation of fractal surface description parameters with fracture toughness / Z. Kristakova and M. Kupkova -- 7. Fractal dimension of fracture patterns -- a computer simulation / M. Kupkova and Z. Kristakova -- 8. The formation of extensional veins: an application of the Cantor-Dust model / J.H. Kruhl -- 9. Fractal fault displacements: a case study from the Moray Firth, Scotland / G. Pickering, M.J. Bull, D.J. Sanderson and P.V. Harrison -- 10. High-temperature viscoelastic behaviour and long time tail of rocks / H. Nagahama.
J.H. Kruhl, ed. ; technical revision and layout by Lars-Oliver Renftel.
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Includes bibliographical references and index.
Berlin ; New York : Springer-Verlag, ©1994