Heterogeneity spectrum and scale-anisotropy in the upper crust revealed by the German Continental Deep-Drilling (KTB) holes

Physics

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Anisotropy, Boreholes, Cross Correlation, Drilling, Earth Crust, Geodynamics, Heterogeneity, Power Spectra, Propagation Velocity, Seismic Waves, Statistical Correlation, Wave Propagation, Correlation Coefficients, Perturbation, Random Processes, Spectrum Analysis

Scientific paper

Crustal heterogeneities and their statistical characteristics bear important information about the dynamic processes and evolution of the crust. The velocity well-log data from the German Continental Deep Drilling Project (KTB) offer a rare opportunity to measure directly the properties of crustal heterogeneities. In this study, we first estimated the power spectrum of crustal heterogeneities from the P-velocity well-logs of the two holes. For the first time, a power-law spectrum of crustal heterogeneities was directly observed in the spatial wavelength range from a few meters to a few kilometers. The slope of the vertical 1D power spectrum of the random velocity perturbations is about 1.1, corresponding to a flicker-noise random medium. The scale-anisotropy ratio (aspect ratio) and the horizontal spectral slope of crustal heterogeneities were also estimated by cross-correlation analysis between these two holes to be about 1.8 and 2.0, respectively.

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