To understand the detailed process in the initial stage of an explosion earthquake, we studied short-period seismic waveforms of three explosive eruptions of Sakurajima volcano in November 1987. A single force directed downward or spherical pressure source were conventionally used as equivalent body forces for the explosion earthquakes. In the present study, to obtain a more generalized description of the source of the explosion earthquakes, we adopted two kinds of source models, namely a moment tensor M
xx, M
xy, M
xz, M
yy, M
yz, M
zz, or a combination of a vertical single force and five components of moment tensor F
z, M
xx, M
xy, M
xz, M
yy, M
yz. The source time functions for the force F
z, or couples M
ij, were determined by waveform inversion. The observed waveforms can be explained satisfactorily by the moment tensor model. The estimated source time function indicates that a rapid expansion and subsequent contraction occurred in the source region of the explosion earthquakes. The alternate model including the vertical single force, however, can not explain the compressional first motion that is one of the notable features of the explosion earthquakes at Sakurajima. These findings suggest that the moment tensor provides a more appropriate system of equivalent body forces in the initial stage of the explosion earthquakes. A vertical force dipole M
zz was found to be the largest of the diagonal elements of the moment tensor in the initial expansion of the source. This is consistent with the result obtained by Iguchi (1994). We hence consider that the explosion earthquake begins with a vertically-directed volumetric expansion of the source region.
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