Modelling Critical and Catastrophic Phenomena in Geoscience: A Statistical Physics Approach

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Pratip Bhattacharyya, Bikas K. Chakrabarti
Springer, Sep 10, 2006 - Science - 527 pages
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This book presents a broad survey of models for critical and catastrophic phenomena in the geosciences, with strong emphasis on earthquakes. It assumes the perspective of statistical physics, which provides the theoretical frame for dealing with complex systems in general. This volume addresses graduate students wishing to specialize in the field and researchers working or interested in the field having a background in the physics, geosciences or applied mathematics.
 

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Contents

Statistical Physics of Fracture and Earthquake
3
TwoFractal Overlap Model of Earthquake and Its Statistics
19
References
25
Earth Resources Laboratory Uma Divakaran
42
Fibre Bundles with Local Load Redistribution
46
References
54
Extensions of Fibre Bundle Models
56
Gradual Degradation of Fibre Strength
65
Spacetime Combined Correlation Between Earthquakes
259
Time Combined Correlation Dimension
268
Space Combined Correlation Dimension
273
and Computational Science S Fayazbakhsh
280
Analysis of Seismic Time Series as Markov Process
287
References
300
K Kaviani Japan
301
Modern Earthquake Catalogs
317

Variable Range of Load Sharing
72
Failure of Glued Interfaces of Solid Blocks
82
Discussion and Outlook
88
J Herrmann Vittorio Loreto
91
Fractional Noise White Noise
95
Multifractals
103
Conclusion
109
Some Early Earthquake Source Models
113
and at Other Times
126
A Dynamic Shear Crack with Friction
138
A Model for Repeating Events
147
Geometric Models of Earthquakes
154
Analysis of the TimeSeries
162
References
168
Department of Earth
169
StickSlip Motion
178
Summary and Discussion
186
RecurrenceTime Distributions and Scaling Laws
193
The Paradox of the Decreasing Hazard Rate and the Increasing
203
Correlations in Seismicity
211
Conclusions
219
The Model the Simulation and the Catalog
226
Summary and Discussion
252
Focal Mechanism Orientation and Stress Distribution
333
Discussion
349
Aeolian Transport and Dune Formation
363
Aeolian Transport of Sand
370
Inclusion of the Slip Face
379
Avalanches and Ripples in Sandpiles
387
The Dynamics of Sandpile Surfaces
404
References
419
The Portevin
428
Strada Costiera 11 207 Church Street S
436
Algorithm
439
Conclusions
451
Search for Precursors in Some Models of Catastrophic Failures
459
Conclusions
475
Results and Discussions
486
Departament de Fısica Saha Institute of Nuclear Physics
491
Earthquakes and Relaxation Oscillation
492
References
498
Fractal Dimension of the 2001 El Salvador Earthquake
499
References
513
Nisith K Das India
515
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