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High-frequency (HF) seismic radiation of large earthquakes is approximatelyrepresented by P wave trains recorded at teleseismic distances. Observedenvelopes of such signals look random and intermittent, suggesting non-trivialstochastic structure. Variogram and spectral analyses were applied to instantpower calculated from band-filtered observed P-wave signals from eight large(Mw=7.6-9.2) earthquakes, with 8-30 records per event and eightnon-overvlapping frequency bands analyzed (total frequency range 0.6-6.2 Hz,bandwidth 0.7 Hz). Estimates for both variograms and power spectra look linearin log-log scale, suggesting in most cases self-similar correlation structureof the signal. The range for the individual-event values of the Hurst exponentH is 0.71-0.80 (averaged over bands and stations) when estimated fromvariograms, and 0.78-0.83 when estimated from spectra. No systematic dependenceon station or frequency band was noticed. The values of H around 0.8 may becharacteristic for large earthquakes in general. The result suggests that thespace-time organization of earthquake rupture process has significant fractalfeatures. Also, a useful constraint is established for application-orientedearthquake strong motion modeling.

Stochastic self-similarity of envelopes of high-frequency teleseismic P-waves from large earthquakes suggests fractal pattern for earthquake rupture