J. Bhattacharyya et al., INNER-CORE ATTENUATION FROM SHORT-PERIOD PKP(BC) VERSUS PKP(DF) WAVE-FORMS, Geophysical journal international, 114(1), 1993, pp. 1-11
Differential waveform analysis provides an excellent tool for studying
the attenuation properties of the top of the inner core. We analyse 1
08 PKP(BC) versus PKP(DF) waveforms from Global Digital Seismograph Ne
twork (GDSN) vertical-component seismograms to constrain the frequency
and depth dependency of Q(alpha) in this region. We use both frequenc
y- and time-domain techniques. In the time-domain method, the BC phase
is mapped onto the DF phase using an attenuation band operator. The m
apping operator is parameterized by the upper and lower cut-off freque
ncies of the absorption band, the time shift required to align these t
wo phases, and t, the integrated effect of Q(alpha)-1 in the top of t
he inner core. In the frequency-domain analysis, multitaper spectral e
stimation is used to compute the complex spectrum of the two phases. T
he shape of the amplitude spectrum of the spectral ratio between these
two phases gives an estimate of Q(alpha). Similar results are obtaine
d from frequency- and time-domain analysis but the Q(alpha) obtained f
rom frequency-domain analysis is approximately 20 per cent greater tha
n the value obtained from time-domain analysis. We prefer the frequenc
y-domain results since they are not affected by the presence of noise
at higher frequencies. Apparent Q(alpha) values exhibit considerable s
catter with no clear frequency or depth dependence. We find that the a
verage value of Q(alpha) in the top of the inner core is about 360 whi
ch is consistent with previous body wave studies but differs by a fact
or of two from values obtained from studies of the decay of free oscil
lations.