Xj. Song et Dv. Helmberger, SOURCE ESTIMATION OF FINITE FAULTS FROM BROAD-BAND REGIONAL NETWORKS, Bulletin of the Seismological Society of America, 86(3), 1996, pp. 797-804
Fast estimation of point-source parameters for earthquakes has progres
sed much in recent years due to the development of broadband seismic n
etworks. The expansion of these networks now provides the opportunity
to investigate second-order effects such as source finiteness for regi
onal and local events on a routine basis. This potential motivates the
development of methods to quickly generate synthetic seismograms for
finite sources. This is possible when the fault dimension is small com
pared to the source-receiver distance and when the structure around th
e source region is relatively simple. To study the directivity for a f
inite source, we discretize the fault region into a set of elements re
presented as point sources. We then generate the generalized rays for
the best-fitting point-source location and derive for each separate ra
y the response for neighboring point sources using power series expans
ions. The response for a finite fault is then a summation over rays an
d elements. If we sum over elements first, we obtain an effective far-
field source-time function for each ray, which is sensitive to the dir
ection of rupture. These far-field source-time functions are convolved
with the corresponding rays, and the results are summed to form the t
otal response. A simple application of the above method is demonstrate
d with the tangential motions observed from the 1991 Sierra Madre eart
hquake. For this event, we constrain the fault dimension to be about 3
km with rupture toward the west, which is compatible with other more
detailed studies.