The Matsushiro earthquake swarm gave us a chance to study the attenuation of seismic waves in short hypocentral distances.
During the observation periods (Jun. 1966-Aug. 1966 and Nov. 1966-Mar. 1967), four and five observation stations were temporarily arrayed along two lines which were respectively oriented toward the southeast and southwest directions from Matsushiro, so as to be parallel to nodal lines derived from the quadrant type pattern of initial
P waves. At each station, we installed a horizontal seismograph having a natural period of 0.6 sec to be sensitive perpendicularly to the observation line. Magnification of the seismographs ranged from 50 to 135 according to the distances from Matsushro in order to prevent going off scale or disturbances of background noises on recording.
In the present study, attenuation of maximum amplitude with distance is mainly treated and a result of analyses shows that the maximum amplitude observed at each station along the observation array does not monotonously decrease with focal distance, but it abruptly increases at distances between about 30km to 40km and again decreases steadily beyond this range. The ratio of the mximum amplitudes at distances of about 40km to about 30km is averagely 1.4, and accordingly the attenuation coefficient should be determined for both of the two ranges.
By use of recordings of fifty three shocks, the attenuation coefficient
h in the equation
A=
A0/
r·exp (-hr) was calculated and its average value was 0.059km
-1 for the range of
r<30km, where
r is the hypocentral distance and
A is the maximum amplitude. The value of
h for the range of
r>40km was also estimated to be 0.047km
-1, though with doubtful accuracy due to the lack of data. According to these observed data and Richter's definition of magnitude, we were able to derive the following equation among magnitude
M, hypocentral distance
r in kilometer and maximum amplitude
A in micron.
M=log
A+log
r+0.026
r-0.19 for
r<30km
M=log
A+log
r+0.020
r-0.59 for
r>40km.
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