EFFECTS OF DENSITY OF INUNDATION WATER ON TSUNAMI RUN-UP

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  • 津波遡上への氾濫水密度の影響
  • ツナミ ソジョウ エ ノ ハンラン スイミツド ノ エイキョウ

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Abstract

<p> Aiming for the advancement of historical and prospective tsunami scale evaluations, and focusing on the tsunami run-up, series solutions to the tip position a(t), velocity U (=da/dt) and acceleration d2a/dt2 in the tip region of inundation flow with sediment over a uniformly sloping bottom under the condition that the friction factor K is not linked to the density ρ of inundation water and analytical solutions to a(t), U, d2a/dt2, the maximum run-up distance am and height Rm under the condition that K is linked to ρ are derived, and effects of ρ on them and run-up process are theoretically examined. It is indicated that (1) in the run-up analysis (including numerical simulation) of tsunami with sediment under the condition of a constant K, even if am and Rm can be predicted accurately, there is a possibility of evaluating the run-up duration time inaccurately and vice versa, and (2) linking K to ρ is necessary to solve this matter. An expression for the relationship between K and ρ is also presented. Moreover, it is verified that the derived series and analytical solutions are useful to discuss the effects of ρ on the run-up of tsunami with sediment through a comparison between the experimental and theoretical maximum run-up distances.</p>

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