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Fractals in the Earth Sciences

  • Book
  • © 1995

Overview

Editors:
  1. Christopher C. Barton

    1. U.S. Geological Survey, Denver, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Paul R. Pointe

    1. Golder Associates Inc., Redmond, USA

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Fractal Distributions in Geology, Scale Invariance, and Deterministic Chaos

    • D. L. Turcotte, J. Huang
    Pages 1-40

  3. Some-Long-Run Properties of Geophysical Records

    • B. B. Mandelbrot, J. R. Wallis
    Pages 41-64

  4. Some Remarks on the Numerical Estimation of Fractal Dimension

    • S. A. Pruess
    Pages 65-75

  5. Measuring the Dimension of Self-Affine Fractals: Example of Rough Surfaces

    • S. R. Brown
    Pages 77-87

  6. Review of the Fractal Character of Natural Fault Surfaces with Implications for Friction and the Evolution of Fault Zones

    • W. L. Power, T. E. Tullis
    Pages 89-105

  7. Fractals and Ocean Floor Topography: A Review and a Model

    • A. Malinverno
    Pages 107-130

  8. Fractal Transitions on Geological Surfaces

    • C. H. Scholz
    Pages 131-140

  9. Fractal Analysis of Scaling and Spatial Clustering of Fractures

    • C. C. Barton
    Pages 141-178

  10. Fractal Fragmentation in Crustal Shear Zones

    • C. G. Sammis, S. J. Steacy
    Pages 179-204

  11. Fractal Distribution of Fault Length and Offsets: Implications of Brittle Deformation Evaluation—The Lorraine Coal Basin

    • T. Villemin, J. Angelier, C. Sunwoo
    Pages 205-226

  12. Fractal Dynamics of Earthquakes

    • P. Bak, K. Chen
    Pages 227-236

  13. Mineral Crystallinity in Igneous Rocks

    • A. D. Fowler
    Pages 237-249

  14. Fractal Structure of Electrum Dendrites in Bonanza Epithermal Au-Ag Deposits

    • J. A. Saunders, P. A. Schoenly
    Pages 251-261

  15. Back Matter

    Pages 263-265
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Keywords

About this book

Fractals have changed the way we understand and study nature. This change has been brought about mainly by the work of B. B. Mandelbrot and his book The Fractal Geometry of Nature. Now here is a book that collects articles treating fractals in the earth sciences. The themes chosen span, as is appropriate for a discourse on fractals, many orders of magnitude; including earthquakes, ocean floor topography, fractures, faults, mineral crystallinity, gold and silver deposition. There are also chapters on dynamical processes that are fractal, such as rivers, earthquakes, and a paper on self-organized criticality. Many of the chapters discuss how to estimate fractal dimensions, Hurst exponents, and other scaling exponents. This book, in a way, represents a snapshot of a field in which fractals has brought inspiration and a fresh look at familiar subjects. New ideas and attempts to quantify the world we see around us are found throughout. Many of these ideas will grow and inspire further work, others will be superseded by new observations and insights, most probably with future contributions by the authors of these chapters.

Editors and Affiliations

  • U.S. Geological Survey, Denver, USA

    Christopher C. Barton

  • Golder Associates Inc., Redmond, USA

    Paul R. Pointe

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