A model for the occurrence of the acceleration of the ground caused by earthquakes

Caputo, Michele

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 68 (1980), p. 232-239 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

L’analisi statistica di quindici insiemi di misure di rilassamento di sforzo elastico in quindici differenti insiemi di terremoti (sequenze, sciami, scosse successive o terremoti scelti a caso in una regione) per un totale di 926 eventi in Italia, Giappone, Isole Aleutine, Messico e California, conferma che il rilassamento di sforzo $p$ è una funzione decrescente di $p$ ed è quasi proporzionale a $p^{x-1}$$(a < o)$ come previsto da Caputo (1976). Usando questa distribuzione statistica e quella delle dimensioni lineari delle faglie, si introduce una nuova formula per il periodo di ritorno $n(a)$ della radice dell'accelerazione quadratica media maggiore di $a$ causata dai terremoti di una regione sismica ad una distanza $R$; si trova che $n(a)$ è quasi proporzionale a $(\bf{R}^{3/2}a)^{-\delta}$$(\delta = 3.5)$.

Détail

Publié le : 1980-11-01

Bibliographie

Ambraseys, N.N. (1974) - Notes on engineering seismology, in Engineering Seismology and Earthquake Engineering, J. Solnes, E. Noordhoff, Leiden.

Adair, R., Brune, J.N. and Orcutt, J. (1978) - Comparison of observed and calculated seismograms for some events of the November 1977, Imperial Valley earthquake swarm, «Earthquake Notes», 49, 4, 81.

Archambeau, C. (1980) - Estimation of Non-Hydrostatic Stress in the Earth by Seismic Methods: Lithospheric Stress Levels Along Pacific and Plate Subduction Zones, Unpublished.

Bakun, W.H., Bufe, G.C. and Stewart, R.M. (1976) - Body-wave spectra of central California Earthquakes, «Bull. Seism. Soc. Am.», 66, 2, 363-384.

Basili, M., Cagnetti, V., Polinari, S., Tinelli, G., Caputo, M., Console, R. and Rovelli, A., Estimate of Seismic Moment and Other Seismic Parameters of the 1976 Friuli Earthquake, CNEN, Roma.

Brune, J. (1970) - Tectonic Stress and the Spectra of Seismic shear waves, «J. Geophys. Res.», 75, 4997-5009.

Caputo, M. (1976) — Model and observed seismicity represented in a two dimensional space, «Annali di Geofisica», 4, 277-288.

Caputo, M. (1977) - A mechanical model for the statistics of earthquakes magnitude, moment and fault distribution. «Bull. Seis. Soc. Am.», 67, 3, 849-861.

Caputo, M. (1980) - Analysis of the statistical distribution of stress drops occuring during Earth quakes, «Tectonophysics», in press.

Caputo, M.and Console, R. (1980) - Statistical distribution of stress drops and faults of seismic regions, «Tectonophysics», 67, 13-20.

Correig, A.M., and Udias, A. (1980) - Source parameters for Earthquakes in oceanic ridges, unpublished.

Epstein, B. and Lomnitz, C. (1966) - A model for the occurrence of large Earthquakes, «Nature», 211, 1197-1198.

Fletcher, J.B. (1980) - Spectra from High-Dynamic Range Digital Recordings of Oroville California Aftershocks and their Source Parameters, «B.S.S.A.», 70, 3, 735-756.

Hanks, T.C. (1979) — $b$ values and $\omega^{-\delta}$ seismic source model: implications for Tectonic Stress Variations Along active Crustal Fault Zones and the Estimation of High Frequency Strong Ground Motion, «J. Geophys. Res.», 84, 2235-2242.

Hartzell, S.H. and Brune, J.N. (1977) - Source parameters for the Jan. 1975 Brawley - Imperial Valley Earthquake Swarm, «Pageoph.», 115, 333-355.

Lee, W.H.K., Herd, D.G., Cagnetti, V., Bakun, W.H. and Rapport, A. (1979) - A preliminary study of the Coyote Lake Earthquake of August 6th, 1979 and its major aftershocks, U. S. Geological Survey, Menlo Park, Calif. Open File Report 79-1621.

Mikumo, T. and Miyatake, T. (1979) - Earthquake sequences on a frictional fault model with non uniform strength and relaxation times, «Geophys. J. R. Astr. Soc.», 59, 497-522.

Mikumo, T. (1979) - Personal Communication.

Munguia, L., Brune, J.N., Reyes, A., Gonzales, J., Simons, R. and Vernon, F. (1977-78) - Digital seismic event recorder records and spectra for aftershocks of the November 29, 1978 Oaxaca earthquake, «Geofisica Internacional», 17, 3, 359-366.

Munguia, L., Brune, J.N., Adair, R., Gonzales, J., Simons, R. and Vernon, F. (1978) - Digital seismograph and strong motion recordings of earthquakes in the Victoria, B. C., Mexico swarm of March, 1978, «EOS», 59, 12, 1131.

Peppin, W.A. and Bufe, C. (1980) - Induced versus naturalEarthquakes: search for a seismic discriminant, «B.S.S.A.», 70, 269-283.

Utsu, T. (1979) - Personal Communication.

Schettino, E.C. (1979) - Analisi dello stato di fratturazione della crosta in Europa, (dissertation thesis), «Inst. Physics, Univ. of Rome», Italy.

Tatcher, A. and Hanks, T.C. (1973) - Source parameters of Southern California earthquakes, «Geophys. Res.», 78, 8547-8576.

Tucker, B.E. and Brune, J.N. (1973) - Source mechanism and $m_{b}—m_{s}$ analysis of after shocks of the San Fernando Earthquake of February 9, 1971. «Geolog, and Geophys. Studies, U. S. Dept, of Commerce», 3, 65-122.