Mathematics – Logic
Scientific paper
Nov 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999georl..26.3241b&link_type=abstract
Geophysical Research Letters, Volume 26, Issue 21, p. 3241-3244
Mathematics
Logic
10
Physical Properties Of Rocks: General Or Miscellaneous, Seismology: Continental Crust, Seismology: Theory And Modeling
Scientific paper
In recent years there has been a growing realisation that geological media vary over a broad scale range. As such heterogeneity cannot be described in a deterministic way, a parallel growth in stochastic analyses of geological/geophysical data has emerged. The stochastic description of these media is usually through some form of correlation function, of which the von Karman is the most widely employed. Using this form, media can be described in terms of a characteristic scale size (or correlation length), L and a coloured scaling regime, with scaling described by H, the Hurst exponent. Beyond the correlation length, the material follows a white noise spectrum where material average properties dominate, below the correlation length local heterogeneity dominates. Hence, the correlation length is a fundamental parameter in a range of geodynamical problems. In situ information about stochastic properties of deep crustal rocks can be obtained from the statistical analysis of reflection seismic data. Typical correlation distances within the crust are found to be several hundred metres. Here we show that correlation distances derived from reflection seismic data are strongly influenced by the spectral content of the source. In particular we conclude that there is no reliable evidence for hundred meter scale correlation lengths for crustal heterogeneity.
Bean Christopher J.
Marsan David
Martini Francesca
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