J. Sileny et al., Point-source inversion neglecting a nearby free surface: simulation of theUnderground Research Laboratory, Canada, GEOPHYS J I, 146(1), 2001, pp. 171-180
The aim of this study was to investigate the effects of the inconsistency b
etween the model used and the actual structure on the inversion of point-so
urce parameters. Specifically, we studied the effects of ignoring a reflect
ing interface in the model. Such a situation frequently occurs when events
with sources close to mine excavations are recorded and subsequently proces
sed using a simplified model describing the interface only approximately or
ignoring it completely. In this case, it is important to ask how reliable
the retrieved mechanism is. An inversion algorithm with indirect parametriz
ation of the source (INPAR) was applied.
A numerical study was performed, in which the mechanism and source time fun
ction of a point source were sought in a model inconsistent with the actual
structure. The ray synthetic wavefield generated by a source situated clos
e to a free surface of a homogeneous half-space was treated as the observed
data. The free surface was then ignored when constructing the Green's func
tion necessary for the point-source inversion. Thus, the inconsistent respo
nse of the medium including only direct phases was used to invert the obser
ved seismograms, which contain both direct and reflected phases. The config
uration of the Underground Research Laboratory (URL) of the Atomic Energy C
anada Ltd. was simulated in the synthetic experiments. 16 triaxial sensors
were situated around the underground tunnel, the face of which was taken to
represent the free surface near the hypocentre. High-frequency seismograms
were synthetized with a frequency of around 10 kHz. This is close to the p
revailing frequency of the actual URL records. It was found that gross feat
ures of the source such as orientation of the double couple and the general
features of the source time function can be retrieved satisfactorily when
the hypocentre is localized correctly. Formal error analysis, however, yiel
ds rather large error estimates due to the omission of the free surface, pr
oviding us with acceptably constrained solutions at about 70 per cent confi
dence level only. Mislocation of the hypocentre of the order of seven to 14
wavelengths and/or contamination of the data by noise with an amplitude am
ounting to 20 per cent of the data amplitude both distort retrieved source
parameters and make them rather uncertain. The retrieved orientation deviat
es by more than 20 degrees and its 70 per cent confidence region extends se
veral tens of degrees. As a consequence of the mismodelling of the medium r
epresented by the neglect of the free surface, spurious non-double couple (
DC) components appear in the mechanism.
Two URL events from 1991 September 25 separated by 4 s were processed, and
a large majority of the compensated linear-vector dipole (CLVD) was found t
here. The CLVD along the P-axis at the earlier event was replaced by the CL
VD along the T-axis at the following one, which suggests an over-relaxation
of the stress during the first event and its partial restoration by the su
bsequent event.