Fractals and Chaos in Geology and Geophysics
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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Definition of a fractal set
Seismicity and tectonics
Ore grade and tonnage
Is mantle convection chaotic?
Renormalization group method
Where do we stand?
Otras ediciones - Ver todo
applicable array basin bifurcation box-counting boxes Cantor set chaotic behavior Chapter cluster coastline coefficient consider construction convection correlation crustal cubes cumulative density deposition Determine deterministic drainage networks earth earthquake elements example failure fault first-order cell fractal dimension fractal distribution fractal relation fractal statistics fractal trees fractional Brownian walks fractional Gaussian noises fragmentation given in Figure grid illustrated in Figure interval iteration Koch island limit cycle line segment linear log-normal log-normal distribution logistic map Lorenz equations Lyapunov exponent magnitude Menger sponge multifractal nondimensional obtained occur parameter particles permeable power-law power-law fractal probability Problem random range ratio Rayleigh number region renormalization group result scale invariant second order second-order sediments seismicity self-affine self-affine fractal self-organized criticality self-similar sequence Sierpinski carpet slider blocks sliding solutions specified spectral stable fixed point stress tectonic third-order tion topography Turcotte two-dimensional unstable values wave number wavelet zero zero-order
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 - Kanamori, H. & Anderson, DL (1975). Theoretical basis of some empirical relations in seismology, Seis.
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Vista previa restringida - 2001