Fractals and Chaos in Geology and Geophysics

Front Cover
Cambridge University Press, Jul 13, 1997 - Mathematics - 398 pages
The fundamental concepts of fractal geometry and chaotic dynamics, along with the related concepts of multifractals, self-similar time series, wavelets, and self-organized criticality, are introduced in this book, for a broad range of readers interested in complex natural phenomena. Now in a greatly expanded, second edition, this book relates fractals and chaos to a variety of geological and geophysical applications. All concepts are introduced at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics.
 

Contents

Scale invariance
1
Fragmentation
28
Seismicity and tectonics
56
Ore grade and tonnage
81
Fractal clustering
100
Selfaffine fractals
132
Geomorphology
181
Dynamical systems
219
Sliderblock models
245
Lorenz equations
256
Is mantle convection chaotic?
269
Rikitake dynamo
279
Renormalization group method
289
Selforganized criticality
316
Where do we stand?
341
Copyright

Logistic map
231

Other editions - View all

Common terms and phrases

Popular passages

Page 347 - ... (1981b) Lunar seismology: the internal structure of the moon. /. Geophys. Res. 86:5061-5074. Golombek, MP (1979) Structural analysis of lunar grabens and the shallow crustal structure of the Moon. /. Geophys. Res. 84:4657-4666. Greeley, R., and Gault, D. (1970) Precision sizefrequency distributions of craters for 12 selected areas of the lunar surface. The Moon 2:10-77. Grieve, RAF (1980) Cratering in the lunar highlands: some problems with the process, record and effects. Proc. Conf. Lunar Highlands...
Page 351 - King, GCP, Stein, RS, and Rundle, JB, 1988, The growth of geological structures by repeated earthquakes, 1: Conceptual framework: Journal of Geophysical Research, v.
Page 351 - Kanamori, H. & Anderson, DL (1975). Theoretical basis of some empirical relations in seismology, Seis.
Page 346 - Wavelet transform analysis of the length of the day and the El-Nino/Southern Oscillation variations at intraseasonal and interannual time scales, Ann.

Bibliographic information