Statistical relations of the run-up height of Tsunami waves to the distance and energy of the source |
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Authors: | P. O. Zav’yalov B. V. Levin O. N. Likhacheva |
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Affiliation: | (1) Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia;(2) Institute of Marine Geology and Geophysics, Far East Branch of the Russian Academy of Sciences, Yuzhno-Sakhalinsk, Russia |
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Abstract: | A statistical analysis of the relation between the run-up height of historical tsunami events and the distance and magnitude of the source was performed on the basis of the known Historical Tsunami Data Base [5]. The sample from the database used for the analysis comprises 5638 run-ups caused by 628 seismic events. This analysis, together with the dimensionality theory, shows that the statistical average of the run-up height is inversely proportional to the distance from the source to a power close to 1/2 (that is characteristic of the cylindrically symmetrical case) and directly proportional to the 3/8 power of the earthquake energy. |
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