THE RUN-UP OF N-WAVES ON SLOPING BEACHES
THE RUN-UP OF N-WAVES ON SLOPING BEACHES
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DOI：
10.1098/rspa.1994.0050
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发表时间：
1994-04-08
期刊：
影响因子：
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通讯作者：
SYNOLAKIS, CE
中科院分区：
文献类型：
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作者：
TADEPALLI, S;SYNOLAKIS, CE
关于海啸沿着海岸线往上爬的轶事报道经常描述，在海啸波浪冲上海滩之前，海岸线明显后退。这些波是由靠近海岸线的海啸地震引起的，当产生的波没有足够的传播距离演变成高程领先波或一系列孤立波时。然而，所有先前的上升研究都是模拟周期性波浪或孤立波，这些波最初只在海滩上上升。在我们对这些最初消退的海岸线的研究中，我们发现了一类具有非常有趣和违反直觉行为的n形波浪，这可能会为海啸上升的研究带来新的范例。我们将使用一阶理论，我们将在不同类型的n波的理论有效性范围内推导出最大上升的渐近结果。我们观察到，低洼n波的上升幅度高于高程n波的上升幅度，这表明孤立波模型可能不足以预测近岸海啸上升幅度的上限。
Anecdotal reports of tsunamis climbing up coastlines have often described the shoreline receding significantly before the tsunami waves run-up on the beach. These waves are caused by tsunamigenic earthquakes close to the shoreline, when the generated wave does not have sufficient propagation distance to evolve into leading-elevation waves or a series of solitary waves. Yet all previous run-up investigations have modelled periodic waves or solitary waves which initially only run-up on the beach. In our studies of these initially receding shorelines, we have found a class of N-shaped waves with very interesting and counterintuitive behaviour which may lead to a new paradigm for the studies of tsunami run-up. We will use a first-order theory and we will derive asymptotic results for the maximum run-up within the validity of the theory for different types of N-waves. We have observed that leading depression N-waves run-up higher than leading elevation N-waves, suggesting that perhaps the solitary wave model may not be adequate for predicting an upper limit for the run-up of near-shore generated tsunamis.