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Fractals and Dynamic Systems in Geoscience
Christian A. Hecht (auth.), Tom G. Blenkinsop, Jörn H. Kruhl, Miriam Kupková (eds.)
Pageoph Topical Volumes
2000
Concepts and methods of fractal geometry penetrate various branches of human knowledge to an increasing degree. This tendency is particularly striking in the geosciences, because many processes occurring in and on the Earth result in time dependences and spatial patterns that have a fractal character. The contributions in this volume arose from the "3rd International Symposium on Fractals and Dynamic Systems in Geosciences", held at Stara Lesna, Slovakia in June, 1997. The volume contains new ideas and applications of fractal geometry in such diverse branches of geoscience as engineering geology, the physics of the lithosphere (including faulting, seismicity, and fluid flow), and climate behavior.
Fractals and Dynamic
Systems in Geoscience
Edited by
Tom G. Blenkinsop
Jijrn H. Kruhl
Miriam Kupkova
Springer Basel AG
Reprint from Pure and Applied Geophysics
(PAGEOPH), Volume 157 (2000), No. 4
Editors:
Tom G. Blenkinsop
Department of Geology
University of Zimbabwe
Harare
Zimbabwe
e-mail:
tgb@icon.co.zw
Miriam K u p k o v ă
Institute of Materials Research
Slovak Academy of Sciences
Kosice
Slovakia
e-mail:
kupkova@immov.saske.sk
Jom H. Kruhl
Institut tur Angewandte Geologie und
Mineralogie
TU Miinchen
Munchen
Deutschland
e-mail:
joem.kruhl@geo.tum.de
A CIP catalogue record for this book is available from the Library of Congress, Washington
D.C., USA
Deutsche Bibliothek Cataloging-in-Publication Data
Fractals and dynamic systems in geoscience / ed. by Tom G. Blenkisop ... -Basel ; Boston;
Berlin: B i r k h ă u s e r , 2000
(Pageoph topical volumes)
ISBN 978-3-7643-6309-3
ISBN 978-3-0348-8430-3 (eBook)
DOI 10.1007/978-3-0348-8430-3
This work is subject to copyright. AlI rights are reserved, whether the whole or part of
the material is concemed, specifically the rights of translation, reprinting, re-use of
illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and
storage in data banks. For any kind of use, permission of the copyright owner must be
obtained.
© 2000 Springer Basel AG
Originally published by B i r k h ă u s e r Veriag in 2000
Printed on acid-free paper produced from chlorine-free pulp. TCF 00
987654321
Contents
485
Preface
T. G. Blenkinsop, J. H. Kruhl and M. Kupkova
487
Appolonian Packing and Fractal Shape of Grains Improving
Geomechanical Properties in Engineering Geology
C. A. Hecht
505
Fractal Characterization of Particle Size Distributions in Chromitites from
the Great Dyke, Zimbabwe
T. G. Blenkinsop and T. R. C. Fernandes
523
Dynamics and Scaling Characteristics of Shear Crack Propagation
V. V. Silberschmidt
539
Fractal Approach of Structuring by Fragmentation
C. Suteanu, D. Zugravescu and F. Munteanu
559
Micromorphic Continuum and Fractal Fracturing in the Lithosphere
H. Nagahama and R. Teisseyre
575
Spatial Distribution of Aftershocks and the Fractal Structure of Active
Fault Systems
K. Nanjo and H. Nagahama
589
Scale-invariance Properties in Seismicity of Southern Apennine Chain (Italy)
V. Lapenna, M. Macchiato, S. Piscitelli and L. Telesca
603
Variation of Permeability with Porosity in Sandstone Diagenesis Interpreted
with a Fractal Pore Space Model
H. Pape, C. Clauser and J. lffland
621
Slow Two-phase Flow in Single Fractures: Fragmentation, Migration, and
Fractal Patterns Simulated Using Invasion Percolation Models
G. Wagner, H. Amundsen, U. Oxaal, P. Meakin, J. Feder and T. Jossang
637
Dynamic Model of the Infiltration Metasomatic Zonation
V. L. Rusinov and V. V. Zhukov
653
Wavelet Analysis of Nonstationary and Chaotic Time Series with an Appli-
cation to the Climate Change Problem
D. M. Sonechkin and N. M. Datsenko