So. Hestholm et al., SEISMIC-WAVE PROPAGATION IN COMPLEX CRUST UPPER-MANTLE MEDIA USING 2-D FINITE-DIFFERENCE SYNTHETICS, Geophysical journal international, 118(3), 1994, pp. 643-670
A description is given of the numerical FD scheme used to solve the el
astic wave equation, including a few remarks on the source functions u
sed. Our FD method has been used for computing synthetic seismograms f
or 2-D crust/upper mantle models of size 150 x 400 km(2), with options
for free-surface topography. The strategy was to introduce successive
ly more complex lithosphere models for generating the synthetics; the
reference model was laterally homogeneous lithosphere. The interface s
cattering was visualized through displays of free-surface synthetic wa
veforms and snapshots for models with a corrugated Moho only and free
surface topography only. Near the free surface the latter seems to dom
inate, in the form of P-to-Rg and S-to-Rg conversions. Lithosphere ran
domizations were introduced through von Karman functions of order v =
0.3, with rms velocity fluctuations of 3-4 per cent and correlation di
stances (horizontal and vertical) at 2.5 or 10 km. In case of a medium
with only sub-Moho heterogeneities, those with horizontal anisotropy
(a(x) = 10 km; a(z) = 2.5 km) produced relatively strong Pn and Sn pha
ses. The respective codas were dominated as in most of our experiments
by P-to-S and S-to-S scattering wavelets excluding Rg scattering at a
free surface with topography. For a medium with crustal heterogeneiti
es, the distortions of the P and S wave trains with distance were clea
rly demonstrated. For full-scale heterogeneous lithosphere models, cha
racteristic features of the synthetics were quantitatively similar to
observational records of local events. Dominant attributes were a pron
ounced P coda consisting mainly of P- and Rg-scattered wavelets, and a
relatively strong S coda consisting mainly of P-to-S and S-to-S scatt
ered wavelets. The P and S waveforms are severely distorted pointing a
t the futility of reliably picking many secondary arrivals in local ev
ent recordings. Most of the scattering wavelets are confined to the cr
ustal waveguide and to surface waves, since coda excitations for senso
rs at a depth of 100 km were weak and, moreover, consisted mainly of S
wavelets. This implies that a strong teleseismic P coda does not refl
ect scattering within the crust in the source region but, rather, a co
mplex source. Observational results from analysis of NORESS and ARCESS
local event recordings are also presented. Clearly the lithosphere is
not isotropically inhomogeneous. The essence of our 2-D FD synthetic
seismogram experiments is that a simple lithosphere model, being moder
ately heterogeneous, gives rise to complex seismograms which are gross
ly similar to the observational recordings. In contrast, complex model
s derived from profiling surveys (but lacking the fine-scale random va
riations) give simple, 'ray tracing' like synthetics, not necessarily
similar to the observed records.