Fractals and Chaos in Geology and Geophysics¶
Turcotte, D. L. (1997). Fractals and Chaos in Geology and Geophysics. Cambridge University Press.
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Primes¶
- Fractal Geometry
- or a competing developmental-rule explanation; the use is allometric prediction (basal metabolic rate
∝ M^{3/4}), clinical diagnosis (deviations of vascular fractal dimension as cancer or cardiovascular markers), and surgical planning. Geomorphology → the set is a coastline, mountain range, river network, or fault system; the dimension is Richardson-style or box-counting on digitized maps; the generating principle is approximate (stochastic erosion and uplift produce statistically self-similar landscapes); the scale range runs from the resolution of the map to the size of the geological feature; the substrate mechanism is recursive geological process — fluvial erosion, tectonic uplift, glaciation, weathering; the use, as Turcotte (1997) systematizes for fractal applications in geology and geophysics, is risk modeling (coastline-length sensitivity), navigation (port and harbor design), and resource estimation (mineral-deposit geometry).This sourceComprehensive treatment of fractal scaling in geological/geophysical systems (coastlines, drainage networks, fault systems, earthquakes, topography) with methodology and substrate-mechanism arguments.
- or a competing developmental-rule explanation; the use is allometric prediction (basal metabolic rate
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