Rs. Wu et al., Seismic wave propagation and scattering in heterogeneous crustal waveguides using screen propagators: ISH waves, B SEIS S AM, 90(2), 2000, pp. 401-413
The great advantages of one-way propagation methods, such as the generalize
d screen propagators (GSP) method, are the fast speed of computation, often
several orders of magnitude faster than the full-wave finite difference an
d finite element methods, and the huge savings in internal memory. In this
article, a halfspace GSP is formulated for the SH half-space problem. Two v
ersions of the halfspace GSP are derived: the wide-angle pseudo-screen and
the phase-screen. The Moho discontinuity is treated as parameter perturbati
ons from the crustal background, The validity and limitations of this treat
ment are discussed. It is shown that half-space screen propagators can accu
rately propagate guided crustal waves that are composed of small-angle wave
s with respect to the horizontal direction. Comparisons of numerical result
s with a wavenumber integration method for flat crustal models and a finite
difference algorithm for heterogeneous models show excellent agreements. F
or a model with propagation distance of 250 km, dominant frequency at 0.5 H
z, the GSP method is about 300 times faster than a finite difference algori
thm with a similar accuracy. These comparisons demonstrate the accuracy and
efficiency of the method. We apply our method to simulate regional wave pr
opagation in different types of complex crustal waveguides including those
with small-scale random heterogeneities. The influence of these heterogenei
ties on Lg amplitude attenuation and Lg coda formation is significant.