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Authors: Caserta, A.* 
Consolini, G.* 
De Michelis, P.* 
Title: Statistical Features of the Seismic Noise-Field
Issue Date: 2007
Series/Report no.: 2 / 51 (2007)
DOI: 10.1007/s11200-007-0013-8
Keywords: seismic noise
scale invariant process
Subject Classification04. Solid Earth::04.06. Seismology::04.06.04. Ground motion 
Abstract: We present a preliminary study of the dependence of the statistical features of the soil motion due to seismic noise on the near-surface geology in the frequency range from 1 Hz to ~ 40 Hz. In detail, we have investigated the 3D average squared soil displacement 〈r2〉 and the distribution function of the displacement flctuations at different geological sites. The anomalous scaling of the average squared soil displacement r2 (t ) ∼t a , and the Gaussian shape of the probability distribution function of its fluctuations suggest that the soil motion under the influence of the seismic noise is consistent with a persistent fractional Brownian motion (fBm) characterized by a scaling exponent 1.5 < a < 2. Therefore, the seismic noise-field, thought as a stochastic process, shows a markovian character with a memory longer than a pure Brownian motion (a = 1/2). Moreover, a dependence of such persistent behavior of the noise-field dynamics on the near-surface local geology has been found and it is discussed.
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