Geodesic
Seismic inversion for a crak opening
Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 82 (1988) no. 4, pp. 757-771 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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The displacement field caused by the classic earthquake mechanism model consisting of a slip along the fault is extended to the case when besides the slip, also an opening occurs caused by tensional forces. The tensor matrix describing the moment tensor does not necessarily have a nil trace. The direct problem is solved finding the radiation pattern for $P$ and $S$ waves. A method to solve the inverse problem of the determination of the four parameters describing the source is presented and tested on data produced with the solution of the direct problem. The tests suggest that the method is valid depending on the accuracy of the data, the distribution of observing stations and ratio of the opening to the slip components as expected. It would give good results with the modern instrumentation and the most common distribution of stations. 
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     author = {Caputo, Michele and Console, Rodolfo},
     title = {Seismic inversion for a crak opening},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali},
     pages = {757--771},
     year = {1988},
     volume = {Ser. 8, 82},
     number = {4},
     zbl = {0737.73072},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLINA_1988_8_82_4_a14/}
}
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Caputo, Michele; Console, Rodolfo. Seismic inversion for a crak opening. Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 82 (1988) no. 4, pp. 757-771. http://geodesic.mathdoc.fr/item/RLINA_1988_8_82_4_a14/