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Authors: Tinti, E.* 
Fukuyama, E.* 
Piatanesi, A.* 
Cocco, M.* 
Title: A Kinematic Source-Time Function Compatible with Earthquake Dynamics
Journal: Bulletin of the Seismological Society of America 
Series/Report no.: /95 (2005)
Publisher: Seismological Society of America
Issue Date: 2005
DOI: 10.1785/0120040177
Keywords: Earthquake dynamics and mechanics
Earthquake modeling
Earthquake parameters
Subject Classification04. Solid Earth::04.06. Seismology::04.06.03. Earthquake source and dynamics 
Abstract: We propose a new source-time function, to be used in kinematic modeling of ground-motion time histories, which is consistent with dynamic propagation of earthquake ruptures and makes feasible the dynamic interpretation of kinematic slip models. This function is derived from a source-time function first proposed by Yoffe (1951), which yields a traction evolution showing a slip-weakening behavior. In order to remove its singularity, we apply a convolution with a triangular function and obtain a regularized source-time function called the regularized Yoffe function. We propose a parameterization of this slip-velocity time function through the final slip, its duration, and the duration of the positive slip acceleration (Tacc). Using this analytical function, we examined the relation between kinematic parameters, such as peak slip velocity and slip duration, and dynamic parameters, such as slip-weakening distance and breakdown-stress drop. The obtained scaling relations are consistent with those proposed by Ohnaka and Yamashita (1989) from laboratory experiments. This shows that the proposed source-time function suitably represents dynamic rupture propagation with finite slip-weakening distances.
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