Fractal Behaviour of the Earth System

1. Front Matter

   Pages I-XVI

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2. Fractals in Geophysics and Seismology: An Introduction

   • V.P. Dimri

   Pages 1-22

3. Fractal Modeling of Complex Subsurface Geological Structures

   • V. P. Dimri, Ravi Prakash Srivastava

   Pages 23-37

4. The Route to Fractals in Magnetotelluric Exploration of the Crust

   • Karsten Bahr

   Pages 39-62

5. Regularity Analysis Applied to Well Log Data

   • Maurizio Fedi, Donato Fiore, Mauro La Manna

   Pages 63-82

6. Electrokinetic Effect in Fractal Pore Media as Seismoelectric Phenomena

   • V.V. Surkov, H. Tanaka

   Pages 83-96

7. Fractal Network and Mixture Models for Elastic and Electrical Properties of Porous Rock

   • M. Pervukhina, Y. Kuwahara, H. Ito

   Pages 97-118

8. Scaling Evidences of Thermal Properties in Earth’s Crust and its Implications

   • V.P. Dimri, Nimisha Vedanti

   Pages 119-131

9. Fractal Methods in Self-Potential Signals Measured in Seismic Areas

   • Luciano Telesca, Vincenzo Lapenna

   Pages 133-178

10. Earth System Modeling Through Chaos

    • H. N. Srivastava

    Pages 179-205

11. Back Matter

    Pages 207-208

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It is with pleasure that I write the foreword to this excellent book. A wide range of observations in geology and solid-earth geophysics can be - plained in terms of fractal distributions. In this volume a collection of - pers considers the fractal behavior of the Earth's continental crust. The book begins with an excellent introductory chapter by the editor Dr. V.P. Dimri. Surface gravity anomalies are known to exhibit power-law spectral behavior under a wide range of conditions and scales. This is self-affine fractal behavior. Explanations of this behavior remain controversial. In chapter 2 V.P. Dimri and R.P. Srivastava model this behavior using Voronoi tessellations. Another approach to understanding the structure of the continental crust is to use electromagnetic induction experiments. Again the results often exhibit power law spectral behavior. In chapter 3 K. Bahr uses a fractal based random resister network model to explain the observations. Other examples of power-law spectral observations come from a wide range of well logs using various logging tools. In chapter 4 M. Fedi, D. Fiore, and M. La Manna utilize multifractal models to explain the behavior of well logs from the main KTB borehole in Germany. In chapter 5 V.V. Surkov and H. Tanaka model the electrokinetic currents that may be as- ciated with seismic electric signals using a fractal porous media. In chapter 6 M. Pervukhina, Y. Kuwahara, and H. Ito use fractal n- works to correlate the elastic and electrical properties of porous media.

• Earth System
• Fractals
• Heterogeneity
• Potential
• Scaling
• geophysics
• geoscience
• nonlinear dynamics

• National Geophysical Research Institute, Hyderabad, India

  V. P. Dimri

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