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Fractals and Dynamic Systems in Geoscience

  • Book
  • © 1994

Overview

Editors:
  1. Jörn H. Kruhl

    1. Geologisch-Paläontologisches Institut, Johann Wolfgang Goethe-Universität, Frankfurt/Main, Germany

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Table of contents (31 chapters)

  1. Front Matter

    Pages I-4
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  2. Deformation and Tectonic Structures

    1. Front Matter

      Pages 5-5
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    2. Crustal Deformation and Fractals, a Review

      • Donald L. Turcotte
      Pages 7-23

    3. Scaling Laws of Fragmentation

      • Hiroyuki Nagahama, Kyoko Yoshii
      Pages 25-36

    4. Fractal Structure and Deformation of Fractured Rock Masses

      • Xing Zhang, David J. Sanderson
      Pages 37-52

    5. Multi—Scale Model of Damage Evolution in Stochastic Rocks: Fractal Approach

      • Vadim V. Silberschmidt, Vladimir G. Silberschmidt
      Pages 53-64

    6. Fractal Characteristics of Joint Development in Stochastic Rocks

      • Vadim V. Silberschmidt
      Pages 65-76

    7. Correlation of Fractal Surface Description Parameters with Fracture Toughness

      • Zuzana Krištáková, Miriam Kupková
      Pages 77-85

    8. Fractal Dimension of Fracture Patterns — a Computer Simulation

      • Miriam Kupková, Zuzana Krištáková
      Pages 87-94

    9. The Formation of Extensional Veins: An Application of the Cantor—Dust Model

      • Jörn H. Kruhl
      Pages 95-104

    10. Fractal Fault Displacements: A Case Study from the Moray Firth, Scotland

      • Giles Pickering, Jonathan M. Bull, David J. Sanderson, Paul V. Harrison
      Pages 105-119

    11. High—Temperature Viscoelastic Behaviour and Long Time Tail of Rocks

      • Hiroyuki Nagahama
      Pages 121-129

    12. The Fractal Geometry of Patterned Structures in Numerical Models of Rock Deformation

      • Alison Ord
      Pages 131-155

  3. Physical Features and Behaviour of the Earth

    1. Front Matter

      Pages 157-157
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    2. Non-Linear Processes in Earthquake Prediction Research, a Review

      • Rolf Meissner
      Pages 159-168

    3. Fractal Analysis as a Tool to Detect Seismic Cycle Phases

      • Giuliana Rossi
      Pages 169-179

    4. Binary Descriptions of Stick-Slip Phenomena

      • Mario Markus, Heike Emmerich, Carsten Schäfer, Pedro Almeida, António Ribeiro
      Pages 181-196

    5. Main Topics of Fractal Research into Earthquakes in China, a Review

      • Shouzhong Diao, Hongtai Chao
      Pages 197-211

    6. Evidence for Self—Similarities in the Harmonic Development of Earth Tides

      • Hans-J. Kümpel
      Pages 213-220

    7. Global Relief: Evidence of Fractal Geometry

      • Sergey S. Ivanov
      Pages 221-230
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Keywords

About this book

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.

Editors and Affiliations

  • Geologisch-Paläontologisches Institut, Johann Wolfgang Goethe-Universität, Frankfurt/Main, Germany

    Jörn H. Kruhl

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