Seismic inversion for a crak opening

Michele Caputo; Rodolfo Console

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1988)

  • Volume: 82, Issue: 4, page 757-771
  • ISSN: 1120-6330

Abstract

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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.

How to cite

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Caputo, Michele, and Console, Rodolfo. "Seismic inversion for a crak opening." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 82.4 (1988): 757-771. <http://eudml.org/doc/287280>.

@article{Caputo1988,
abstract = {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.},
author = {Caputo, Michele, Console, Rodolfo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Focal mechanism; Crack opening; Radiation pattern; classic earthquake mechanism; extended model; radiation pattern for and waves; focal mechanism},
language = {eng},
month = {12},
number = {4},
pages = {757-771},
publisher = {Accademia Nazionale dei Lincei},
title = {Seismic inversion for a crak opening},
url = {http://eudml.org/doc/287280},
volume = {82},
year = {1988},
}

TY - JOUR
AU - Caputo, Michele
AU - Console, Rodolfo
TI - Seismic inversion for a crak opening
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1988/12//
PB - Accademia Nazionale dei Lincei
VL - 82
IS - 4
SP - 757
EP - 771
AB - 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.
LA - eng
KW - Focal mechanism; Crack opening; Radiation pattern; classic earthquake mechanism; extended model; radiation pattern for and waves; focal mechanism
UR - http://eudml.org/doc/287280
ER -

References

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  1. AKI, K. and RICHARDS, P. (1980) - Quantitative Seismology, W.H. Freeman and Co., San Francisco. 
  2. DE NATALE, G. and ZOLLO, A. (1986) - Parametri di sorgente sismica e caratteristiche del mezzo di propagazione ai Campi Flegrei dedotti dall'analisi di dati da una rete sismica digitale a 3 componenti, Convegno del Gruppo Nazionale per la Geofisica della Terra Solida, CNR. Roma. 
  3. FUROMOTO, M. and FUKAO, Y. (1976) - Seismic moments of great deep shocks, «Phys. Earth Plan Int.», 11, 352-357. 
  4. GILBERT, F. (1971) - Excitation of the normal modes of the Earth by earthquake source, «Geophys. J. R. Astr. Soc.», 22, 223-226. Zbl0378.73086
  5. GILBERT, F. and DZIEWONSKY, A. (1975) - An application of normal mode theory to the retrieval of structural parameters and source mechanism from seismic spectra, «Phil. Trans. R. Soc. London, Ser. A», 278, 187-269. 
  6. JULIAN, B.R. and SIPKIN, S.A. (1985) - Earthquake processes in the Long Valley caldera area, California, «J. Geoph. Res.», 90, 11, 155-11, 169. 
  7. McCOWAN, D. (1976) - Moment tensor representation of surface waves sources, «Geophys. J. R. Astr. Soc», 44, 595-599. Zbl0336.73010
  8. MENDIGUREN, I. (1977) - Source mechanism of a deep earthquake from analysis of world wide observations of free oscillations, Ph. D. Thesis, Massachusset Institute of Technology, Cambridge, Ma. 
  9. SHAPIRA, A. and BATH, M. (1977) - Short distance hypocentral location in layered media, Seismological Institute, Uppsala, Report no. 2-77. 
  10. SHAPIRA, A. and BATH, M. (1978) - Source mechanism determination of short distance microearthquakes, Seismology Institute, Uppsala, Report no. 1-78. 
  11. STRELITZ, R.A. (1980) - The fate of the downgoing slab: a study of the moment tensor from body waves of complex deep-focus earthquakes, «Phys. Eerth Plan. Int.», 21, 83-96. 
  12. STUMP, B.W. (1976) - The determination of source mecanism studies, «Trans. Am. Geophys. Un.», 57, 953. 

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