Fractals and Dynamic Systems in Geoscience

Front Matter....Pages I-4
Front Matter....Pages 5-5
Crustal Deformation and Fractals, a Review....Pages 7-23
Scaling Laws of Fragmentation....Pages 25-36
Fractal Structure and Deformation of Fractured Rock Masses....Pages 37-52
Multi—Scale Model of Damage Evolution in Stochastic Rocks: Fractal Approach....Pages 53-64
Fractal Characteristics of Joint Development in Stochastic Rocks....Pages 65-76
Correlation of Fractal Surface Description Parameters with Fracture Toughness....Pages 77-85
Fractal Dimension of Fracture Patterns — a Computer Simulation....Pages 87-94
The Formation of Extensional Veins: An Application of the Cantor—Dust Model....Pages 95-104
Fractal Fault Displacements: A Case Study from the Moray Firth, Scotland....Pages 105-119
High—Temperature Viscoelastic Behaviour and Long Time Tail of Rocks....Pages 121-129
The Fractal Geometry of Patterned Structures in Numerical Models of Rock Deformation....Pages 131-155
Front Matter....Pages 157-157
Non-Linear Processes in Earthquake Prediction Research, a Review....Pages 159-168
Fractal Analysis as a Tool to Detect Seismic Cycle Phases....Pages 169-179
Binary Descriptions of Stick-Slip Phenomena....Pages 181-196
Main Topics of Fractal Research into Earthquakes in China, a Review....Pages 197-211
Evidence for Self—Similarities in the Harmonic Development of Earth Tides....Pages 213-220
Global Relief: Evidence of Fractal Geometry....Pages 221-230
Front Matter....Pages 231-231
Fractal Geometry and the Mining Industry, a Review....Pages 233-245
The Fractal Distribution of Gold Deposits: Two Examples from the Zimbabwe Archaean Craton....Pages 247-258
Self-Organization of Mineral Fabrics....Pages 259-268
Front Matter....Pages 231-231
The Formation and Fragmentation of Periodic Bands Through Precipitation and Ostwald Ripening....Pages 269-282
Agates, Geodes, Concretions and Orbicules: Self-Organized Zoning and Morphology....Pages 283-305
The Formation of Manganese Dendrites as the Mineral Record of Flow Structures....Pages 307-318
Structure and Fractal Properties in Geological Crystallization Processes Due to Nucleation and Growth....Pages 319-335
Fractal Structure of Quasicrystals....Pages 337-348
Protolytic Weathering of Montmorillonite, Described by Its Effective Surface Fractal Dimension....Pages 349-354
Characteristics and Evolution of Artificial Anisotropic Rocks....Pages 355-367
Characteristic Multifractal Element Distributions in Recent Bioactive Marine Sediments....Pages 369-375
Fractal Analyses of Pleistocene Marine Oxygen Isotope Records....Pages 377-387
Front Matter....Pages 389-389
“Counter—Scaling” Method for Estimation of Fractal Properties of Self—Affine Objects....Pages 391-397
Application of the Grassberger—Procaccia Algorithm to the δ 18 O Record from ODP Site 659: Selected Methodical Aspects....Pages 399-413
Back Matter....Pages 415-421