Statistical study of seismic heterogeneities at the base of the mantle from PKP differential traveltimes

Mathematics – Probability

Scientific paper

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Probability Distributions, Mantle Processes, Body Waves, Seismic Tomography, Statistical Seismology

Scientific paper

Stochastic tomography can provide crucial information on the small-scale structures at the base of the mantle that are still beyond the reach of deterministic imaging. For this purpose, we relate differential traveltime variances of core phases to the correlation function of velocity heterogeneities at the base of the mantle. A global data set of PKP traveltimes is then used to invert for statistical properties of velocity perturbations in the D'' layer. We find that the average thickness of D'' is 350 +/- 50 km with 1.2 +/- 0.3 per cent rms velocity perturbations. The horizontal correlation length is 3° +/- 1° and the vertical correlation length 150 +/- 75 km. The statistical analysis of the traveltimes of core phases reveals a much stronger energy at short wavelengths compared to global tomographic models, which is in good agreement with the results of most studies of the seismic wavefield scattered at the base of the mantle, based upon the analysis of PKP precursors.

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