Fractals and Dynamic Systems in Geoscience

This book advances the use of fractal geometry as a tool, especially for geoscientists. The aim of this volume is to give an overview of the applications of fractal geometry und the theory of dynamic systems in the geosciences.

Inhalt
I Deformation and Tectonic Structures.- 1 Crustal Deformation and Fractals, a Review.- 2 Scaling Laws of Fragmentation.- 3 Fractal Structure and Deformation of Fractured Rock Masses.- 4 MultiScale Model of Damage Evolution in Stochastic Rocks: Fractal Approach.- 5 Fractal Characteristics of Joint Development in Stochastic Rocks.- 6 Correlation of Fractal Surface Description Parameters with Fracture Toughness.- 7 Fractal Dimension of Fracture Patterns a Computer Simulation.- 8 The Formation of Extensional Veins: An Application of the CantorDust Model.- 9 Fractal Fault Displacements: A Case Study from the Moray Firth, Scotland.- 10 HighTemperature Viscoelastic Behaviour and Long Time Tail of Rocks.- 11 The Fractal Geometry of Patterned Structures in Numerical Models of Rock Deformation.- II Physical Features and Behaviour of the Earth.- 12 Non-Linear Processes in Earthquake Prediction Research, a Review.- 13 Fractal Analysis as a Tool to Detect Seismic Cycle Phases.- 14 Binary Descriptions of Stick-Slip Phenomena.- 15 Main Topics of Fractal Research into Earthquakes in China, a Review.- 16 Evidence for SelfSimilarities in the Harmonic Development of Earth Tides.- 17 Global Relief: Evidence of Fractal Geometry.- III Formation, Structure and Distribution of Minerals and Matter.- 18 Fractal Geometry and the Mining Industry, a Review.- 19 The Fractal Distribution of Gold Deposits: Two Examples from the Zimbabwe Archaean Craton.- 20 Self-Organization of Mineral Fabrics.- 21 The Formation and Fragmentation of Periodic Bands Through Precipitation and Ostwald Ripening.- 22 Agates, Geodes, Concretions and Orbicules: Self-Organized Zoning and Morphology.- 23 The Formation of Manganese Dendrites as the Mineral Record of Flow Structures.- 24 Structure and FractalProperties in Geological Crystallization Processes Due to Nucleation and Growth.- 25 Fractal Structure of Quasicrystals.- 26 Protolytic Weathering of Montmorillonite, Described by Its Effective Surface Fractal Dimension.- 27 Characteristics and Evolution of Artificial Anisotropic Rocks.- 28 Characteristic Multifractal Element Distributions in Recent Bioactive Marine Sediments.- 29 Fractal Analyses of Pleistocene Marine Oxygen Isotope Records.- IV Methods.- 30 CounterScaling Method for Estimation of Fractal Properties of SelfAffine Objects.- 31 Application of the GrassbergerProcaccia Algorithm to the ?18O Record from ODP Site 659: Selected Methodical Aspects.- Appendix List of Reviewers.