Fractals and Chaos in Geology and Geophysics

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Cambridge University Press, 13 jul. 1997 - 398 páginas
Now in a greatly expanded second edition, this book relates fractals and chaos to a variety of geological and geophysical applications and introduces the fundamental concepts of fractal geometry and chaotic dynamics. In this new edition, Turcotte expands coverage of self-organized criticality and includes statistics and time series to provide a broad background for the reader. Topics include drainage networks and erosion, floods, earthquakes, mineral and petroleum resources, fragmentation, mantle convection, and magnetic field generation. The author introduces all concepts at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics. He includes problems for the reader to solve. This book will appeal to a broad range of readers interested in complex natural phenomena.
 

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Índice

Definition of a fractal set
6
Fragmentation
28
Seismicity and tectonics
56
Ore grade and tonnage
81
Fractal clustering
100
Selfaffine fractals
132
Geomorphology
183
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
Página de créditos

Logistic map
231

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Pasajes populares

Página 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...
Página 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.
Página 351 - Kanamori, H. & Anderson, DL (1975). Theoretical basis of some empirical relations in seismology, Seis.
Página 346 - Wavelet transform analysis of the length of the day and the El-Nino/Southern Oscillation variations at intraseasonal and interannual time scales, Ann.

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