## Modelling Critical and Catastrophic Phenomena in Geoscience: A Statistical Physics ApproachThis 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

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 |

513 | |

Nisith K Das India | 515 |

### Other editions - View all

### Common terms and phrases

aftershock analysis avalanche B.K. Chakrabarti behavior BK model blocks breakdown breaking thresholds burst calculated Cantor set catalog clustering constant correlation correlation dimension correlation integral corresponding crack critical curve deformation density dependence dislocations disorder dunes dynamics earthquake occurrence elastic equation failure fault FBMs fibre bundle model finite fractal dimension fracture frictional force function Geophys global grains Hurst exponent hypocenters increases interface interval kmax Knopoff large events length Lett Lévy flight load sharing macroscopic magnitude distribution mainshock observed obtained occurs overlap parameter Phys physics plot power law prediction properties random range recurrence recurrence-time distribution region rupture sand sandpile scale invariance Sect seismic self-affine sequence shear shear stress shown in Fig simulation slip slope solid Sornette spatial statistical stress surface tectonic velocity Weibull distribution Y.Y. Kagan