Implications on 1 + 1 D Tsunami Runup Modeling due to Time Features of the Earthquake Source
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The time characteristics of the seismic source are usually neglected in tsunami modeling, due to the difference in the time scale of both processes. Nonetheless, there are just a few analytical studies that intended to explain separately the role of the rise time and the rupture velocity. In this work, we extend an analytical 1 + 1 D solution for the shoreline motion time series, from the static case to the kinematic case, by including both rise time and rupture velocity. Our results show that the static case corresponds to a limit case of null rise time and infinite rupture velocity. Both parameters contribute in shifting the arrival time, but maximum runup may be affected by very slow ruptures and long rise time. Parametric analysis reveals that runup is strictly decreasing with the rise time while is highly amplified in a certain range of slow rupture velocities. For even lower rupture velocities, the tsunami excitation vanishes and for larger, quicker approaches to the instantaneous case.
KeywordsTsunami seismology runup
This work was entirely funded by the Programa de Riesgo Sísmico.
- Dutykh, D., and Dias, F., (2007). Water waves generated by a moving bottom. In Tsunami and Nonlinear waves. In Tsunami and Nonlinear waves, 65-95. Springer Berlin Heidelberg.Google Scholar
- Freund, L. B., & Barnett, D. M. (1976). A two-dimensional analysis of surface deformation due to dip-slip faulting. Bulletin of the Seismological Society of America, 66(3), 667–675.Google Scholar
- Fuentes, M. (2017). Simple estimation of linear 1 + 1 D long wave run-up. Geophysical Journal International, 209(2), 597–605.Google Scholar
- Hayes, G. P., Wald, D. J., and Johnson, R. L. (2012). Slab 1.0: A three-dimensional model of global subduction zone geometries. Journal of Geophysical Research: Solid Earth, 117(B1), B01302. https://doi.org/10.1029/2011JB008524.
- Kajiura, K. (1970). Tsunami source, energy and the directivity of wave radiation. Bulletin of the Earthquake Research Institute, 48, 835–869.Google Scholar
- Kajiura, K. (1981). Tsunami energy in relation to parameters of the earthquake fault model. Bulletin of the Earthquake Research Institute, 56, 415–440.Google Scholar
- Okada, Y. (1985). Surface deformation due to shear and tensile faults in a half-space. Bulletin of the Seismological Society of America, 75, 1135–1154.Google Scholar
- Ward, S. (2011). Tsunami. In: Gupta H.K. (eds) Encyclopedia of Solid Earth Geophysics. Encyclopedia of Earth Sciences Series. Springer, Dordrecht.Google Scholar