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Seismic Radiation From Simple Models of Earthquakes R. Madariaga

Summary: 223
Seismic Radiation From Simple Models of Earthquakes
R. Madariaga
Laboratoire de Géologie de l'École Normale Supérieure,
24 rue Lhomond, F­75231 Paris Cedex 05, France
J.P. Ampuero
Institut fuer Geophysik, ETH Zürich
M. Adda-Bedia
Laboratoire de Geologie of Ecole Noramle Supérieure
We review some basic features of shear wave generation and energy balance for a
2D antiplane rupture. We first study the energy balance for a flat fault, and for a fault
that contains a single localized kink. We determine an exact expression for the parti-
tion between strain energy flow released from the elastic medium surrounding the
fault, radiated energy flow and energy release rate. This balance depends only on the
rupture speed and the residual stress intensity factor. When the fault contains a kink,
the energy available for fracture is reduced so that the rupture speed is reduced. When
rupture speed changes abruptly, the radiated energy flow also changes abruptly. As
rupture propagates across the kink, a shear wave is emitted that has a displacement
spectral content that decreases like w-2 at high frequencies. We then use spectral ele-
ments to model the propagation of an antiplane crack with a slip-weakening friction


Source: Adda-Bedia, Mokhtar - Laboratoire de Physique Statistique, Département de Physique, École Normale Supérieure
Madariaga, Raúl - Laboratoire de Géologie, École Normale Supérieure


Collections: Geosciences; Physics