Variability of geophysical log data and the signature of crustal heterogeneities at the KTB

Details Variability of geophysical log data and the signature of crustal heterogeneities at the KTB Variability of geophysical log data and the signature of crustal heterogeneities at the KTB

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998geoji.135..964l&link_type=abstract

Geophysical Journal International, Volume 135, Issue 3, pp. 964-974.

Physics

Geophysics

12

Borehole Geophysics, Crustal Structure, Fractals, Statistical Methods

Scientific paper

Small-scale variations in geophysical borehole data reflect geological inhomogeneities in the Earth's crust; that is, its petrological-mineralogical and structural organization. In this paper, comprehensive geophysical log data from the boreholes of the German Continental Deep Drilling Program (KTB) are analysed. They include electric, radiogenic, magnetic, seismic and bulk properties of rocks. The logs were recorded in crystalline basement down to 9 km depth with a sampling interval of 0.15 m. We describe the vertical variability within the data series in order to relate their statistics to the small-scale heterogeneities of the upper crust. For each physical property, spectral exponents b and Hurst coefficients H were calculated. Power spectra indicate a scaling behaviour, with b values mostly falling in the range 0.5 <= b <= 1.5, typical of 1/f noise; however, no particular values of b characterize the log data. Rescaled range analyses show long-range correlations with persistence of the signals from metres to thousands of metres. Values of H, ranging between 0.6 and 0.8, reveal the self-affine character of the data series. All the log data present similar statistics, suggesting a fractal variability of the physical properties of the Earth's crust. The inferred scale invariance helps to quantify the complexity of crustal heterogeneities.

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