Ja. Tencate et al., BEAMFORMING ON SEISMIC INTERFACE WAVES WITH AN ARRAY OF GEOPHONES ON THE SHALLOW SEA-FLOOR, IEEE journal of oceanic engineering, 20(4), 1995, pp. 300-310
The problem of locating very low frequency sound sources in shallow wa
ter is made difficult by the interaction of propagating acoustic waves
with the sea door, It is known that low frequency sound waves enter t
he bottom and are converted to a variety of compressional and shear wa
ve types, including seismic interface waves, One of the latter is the
Scholte wave, which travels in an elliptical orbit along the sediment-
water interface. Scholte waves, although dispersive, often have speeds
very much,slower than the speed of sound in water, Slow wave speeds a
nd the attendant short wavelengths suggest that low frequency beamform
ing and source localization with sea floor geophones can be accomplish
ed with relatively small arrays when compared with hydrophone arrays i
n the water column, To test the feasibility of this approach, experime
nts were carried out in the shallow water of the Malta Channel of the
Straits of Sicily where the Scholte wave speed was some 10 to 20 times
slower that the speed of sound in water, A linear array of ten vertic
ally gimballed geophones was deployed and measurements were made on pr
opagating seismic wave fields generated by explosive shots, The spatia
l coherence of the dispersive Scholte waves across the 40-m array was
found to be above 0.9 for all shots, while the spatial coherence of th
e noise fell to 0.5 over a distance of 18 m along the array, indicatin
g good prospects for array beamforming and noise rejection, Frequency
dependent group velocities were obtained from the dataset and used to
obtain phase velocities needed to implement an algorithm for dispersiv
e beamforming, Since the phase velocities were quite low (130-200 m/s)
, narrow beams were formed at very low frequencies with this small arr
ay; half-power widths of 22 degrees at 7 Hz and 16 degrees at 11 Hz we
re obtained, The resulting directivities, beam patterns, and sidelobe
characteristics are in excellent agreement with array theory, which su
ggests that coherent processing is a viable technique on which to base
new applications for seismic arrays on the sea floor, Supporting mate
rial on the geophysics of Scholte waves is also presented, as are calc
ulations of the wave field at the site, made possible by inversion of
the velocity dispersion curves.