Regressions of 2700 horizontal-component broadband seismograms from 213 sei
smic events recorded by the German Regional Seismic Network (67 earthquakes
and 146 large mining explosions and rockbursts) are carried out to study t
he scaling relationships of high-frequency S-wave motion for central Europe
. At a set of sampling frequencies, regressions were performed on the logar
ithms of the peak amplitudes of narrow bandpass-filtered seismograms, as we
ll as on the logarithms of the Fourier components of the velocity spectra.
At a fixed frequency f, these values are written as
AMP(f, r) = EXC(f, r(ref)) + SITE(f) + D(r, r(ref),f).
EXC(f, r(ref)) is the excitation at an arbitrary reference hypocentral dist
ance, r(ref) SITE(f) is a site term, and D(r, r(ref), f) describes the crus
tal attenuation in the region. The crustal propagation term, empirically es
timated in the (0.5-16.0 Hz) frequency band and (40-600 km) distance range,
is modeled using a complex geometrical spreading function and a frequency-
dependent crustal Q. We suggest
[GRAPHICS]
and a log-log quadrilinear geometrical spreading.
A factor exp(-pi kappa(0)f) is used to fit the high-frequency roll-off of t
he inverted excitation terms. Since we deal with two different kinds of sou
rces (explosions-rockbursts and earthquakes), we use
[GRAPHICS]
The same Brune spectral model, characterized by a stress drop Delta sigma =
30 bars, is used to fit both earthquakes and explosive excitation terms.
A regression on the effective duration of the ground motion following the S
-wave onset is also carried out. In central Europe. duration is observed to
be almost frequency-independent. This property might be explained in terms
of a self-similar distribution of crustal scatterers.