Seismic waves from non-double-couple sources

Physics

Scientific paper

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Scientific paper

The displacement field due to an arbitrary point source is obtained in terms of the nine spherical components of the moment tensor. It is shown that the far-field is not affected by the lack of symmetry of the moment tensor or the value of its trace. However, in the near-field, M<-->t rshows up in the radial component of the displacement and the antisymmetric part of M<--> appears in the transverse component of the displacement.
Assuming M<--> to be symmetric and traceless, the moment tensor is split into two parts, one representing a double-couple and the other a compensated linear-vector dipole (CLVD). The displacement fields due to the two sources are obtained in terms of five parameters, namely the strike, dip and slip angles of the double-couple, the strength of the double-couple and the relative strength of the CLVD. These five parameters match exactly with the five degrees of freedom in which the components of M<--> can be specified and, therefore, are suitable for inversion purposes. It is shown how the first motion observations of P waves can be used to calculate the relative strength of the CLVD.
The Cartesian components of the moment tensor obtained for the double-couple and the CLVD can be used to calculate the relative excitation of surface waves by these sources.

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