Mathematics – Logic
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992georl..19.1153h&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 19, no. 11, June 2, 1992, p. 1153-1156.
Mathematics
Logic
59
Continents, Earth Crust, Mathematical Models, Seismology, Stochastic Processes, Aspect Ratio, Autocorrelation, Fractals, Structural Properties (Geology)
Scientific paper
Despite its complicated history the Ivrea Zone is considered to be a representative surface exposure of extended continental crust. Two standard 1:25,000 geological maps from this area are digitized and their structural statistics are evaluated. Because of the subvertical orientation of the Ivrea Zone these maps can be considered as small-scale cross sections through the lower continental crust. The autocorrelation functions of the digitized lithologies measured from these maps show a clear self-similar or fractal rather than a Gaussian or deterministic trend. It is found that an anisotropic von Karman correlation function with an aspect ratio around 4 and a Hurst number of 0.3, corresponding to a fractal dimension of 2.7, matches the observed data. Results represent an explicit confirmation of previous indirect evidence for the fractal nature of lithospheric heterogeneities and provide the means to construct realistic crustal-scale seismic models of Ivrea-type lower continental crust.
Holliger Klaus
Levander Alan R.
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