Including near-field terms in the isochrone integration method for application to finite-fault or kirchhoff boundary integral problems
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Abstract
In many types of seismological and engineering problems, it is necessary to perform a surface integral involving a Green's function having either a source or receiver point on the surface. For far-field terms of the Green's function, it is well known that the surface integral can be reduced to a line integral, yielding a considerable computational advantage. In this work we show that a similar transformation to a line integral can be made for the near-field terms when the Green's function is for a uniform whole space. The necessary condition is that the various terms in the Green's function can be transformed into sums of nondispersive pulses. We accomplish this for near-field terms in a whole space by repeatedly time-differentiating the terms.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Including near-field terms in the isochrone integration method for application to finite-fault or kirchhoff boundary integral problems |
| Series title | Bulletin of the Seismological Society of America |
| DOI | 10.1785/BSSA0840041260 |
| Volume | 84 |
| Issue | 4 |
| Year Published | 1994 |
| Language | English |
| Publisher | Seismological Society of America |
| Description | 6 p. |
| First page | 1260 |
| Last page | 1265 |
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