1984
DOI: 10.1111/j.1365-246x.1984.tb06468.x
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High-frequency seismic radiation from a buried circular fault

Abstract: We propose a simplified method for the calculation of near field accelerogranis. It is based upon the hypothesis that, in the course of dynamic faulting, tlie dominating part of the seismic radiation is emitted by the rupture front. As tlie rupture moves smoothly it radiates continuously, generating the low-frequency part of the field. High-frequency waves are produced by jumps in the rupture velocity and abrupt changes in the stress intensity factor. The wave-front discontinuities created in this fashion are … Show more

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Cited by 27 publications
(21 citation statements)
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“…Therefore, barrier and asperities are the source of high frequency waves. The wave front discontinuities created in this fashion are evaluated by asymptotic methods and may be propagated away from the source by ray theoretical methods (MADARIAGA, 1977;MADARIAGA, 1983a;MADARIAGA, 1983b;MADARIAGA and BERNARD, 1985;ACHENBACH and HARRIS, 1978;ACHEN-BACH and HARRIS, 1987;BERNARD and MADARIAGA, 1984a;BERNARD and MADARIAGA, 1984b;SPUDICH and FRAZIER, 1984;ACHENBACH et al, 1982).…”
Section: Rupture Dynamics On a Heterogeneous Faultmentioning
confidence: 99%
“…Therefore, barrier and asperities are the source of high frequency waves. The wave front discontinuities created in this fashion are evaluated by asymptotic methods and may be propagated away from the source by ray theoretical methods (MADARIAGA, 1977;MADARIAGA, 1983a;MADARIAGA, 1983b;MADARIAGA and BERNARD, 1985;ACHENBACH and HARRIS, 1978;ACHEN-BACH and HARRIS, 1987;BERNARD and MADARIAGA, 1984a;BERNARD and MADARIAGA, 1984b;SPUDICH and FRAZIER, 1984;ACHENBACH et al, 1982).…”
Section: Rupture Dynamics On a Heterogeneous Faultmentioning
confidence: 99%
“…We show that strong radiation of the ro-2 type occurs when rupture changes velocity abruptly, whether a change in rupture speed on flat faults or a change in rupture direction at kinks or other discontinuities. These results are established analytically for a sharp antiplane crack model turning along a single kink but they can be extended to 3D using ray methods (Madariaga, 1977, Bernard andMadariaga, 1984). In particular, we derive the exact energy balance for this model in terms of energy density per unit crack advance, extending the results of Husseini and Randall (1976).…”
mentioning
confidence: 52%
“…For largeR, on the other hand, the factor tends to ~IR , so that geometrical spreading in (10) will become of order R-1 as expected for three dimensional sources. For more general rupture problems where the rupture front has a different curvature from the barrier, it is still possible to get simple expressions for radiation using the isochrone method of Bernard and Madariaga (1984). It is very likely, however, that in three dimensional problems, the assumption that friction remains constant behind the rupture front is no longer valid.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Bernard and Madariaga [1984a] found an analytical solution for near-field high-frequency accelerations radiated from a buried circular source, which has uniform stress drop and grows at a constant rupture velocity until it stops abruptly around a circular rupture front simultaneously. Most efficient generation of high-frequency waves occurs when the rupture velocity changes abruptly [e.g., Madariaga, 1977].…”
Section: Methodsmentioning
confidence: 99%