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- W1982149388 abstract "The definition of a fractal distribution is that the number of objects N with a characteristic size greater than r scales with the relation N ~ r −D . The frequency-size distributions for islands, earthquakes, fragments, ore deposits, and oil fields often satisfy this relation. Fractals were originally introduced by Mandelbrot to relate the length of a coastline to the length of the measuring stick. This application illustrates a fundamental aspect of fractal distributions, scale invariance. The requirement of an object to define a scale in photographs of many geological features is one indication of the wide applicability of scale invariance to geological problems, scale invariance can lead to fractal clustering. Geophysical spectra can also be related to fractals; these are self-affine fractals rather than self-similar fractals. Examples include the earth’s topography and geoid." @default.
- W1982149388 created "2016-06-24" @default.
- W1982149388 creator A5008810306 @default.
- W1982149388 date "1989-01-01" @default.
- W1982149388 modified "2023-09-25" @default.
- W1982149388 title "Fractals in Geology and Geophysics" @default.
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- W1982149388 doi "https://doi.org/10.1007/978-3-0348-6389-6_10" @default.
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