Tsunamis are one of several processes that contribute to coastal remodeling. This research interpreted geomorphic features over time to better understand if a relationship exists between the flash remodeling of coasts, expressed by bidimensional-fractal dimensions, and known tsunami energy. Fractal geometry analysis, through the box-counting and correlation integral methods, was applied to the physiography of four oceanic coastlands: three in Sumatra, Indonesia, and one in Japan, hit by tsunamis in the last 14 years. Their shoreline fractal dimensions before and after the events and the present-day ones were calculated and compared. Results highlighted any difference or convergence of calculated fractal dimensions. Significant numerical variations of fractal dimensions of the shores before and after each tsunami were registered, and those values gradually decreased post-tsunami. These shorelines, considered stable before tsunamis, increased in physiographic irregularity up to 5–11% immediately after the phenomena; this slowly diminished to 2–5% about 8 to 15 years later; and finally to 3–6% present-day, compared to the pre-event shorelines. Considering these changes of the fractal dimension and the hydrodynamic energy of the tsunami, responsible for the abrupt coastal remodeling, a simple empirical expression and evaluation of the residual resilience is proposed. As a first step, a real physical meaning, in terms of energy, is attributed to the (dimensionless) fractal dimension.

中文翻译：

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海啸与快速海岸重塑：将能量与分形维数联系起来

海啸是促成海岸重塑的几个过程之一。这项研究随着时间的推移解释了地貌特征，以更好地了解海岸的闪电重塑（由二维分形维数表示）与已知海啸能量之间是否存在关系。分形几何分析，通过盒计数和相关积分方法，被应用于四个海洋海岸的地貌：三个在印度尼西亚苏门答腊，一个在日本，在过去的 14 年中遭受海啸袭击。计算并比较了它们在事件前后的海岸线分形维数和当今的分形维数。结果突出了计算分形维数的任何差异或收敛。记录每次海啸前后海岸分形维数的显着数值变化，这些值在海啸后逐渐下降。这些海岸线在海啸前被认为是稳定的，在海啸发生后立即增加了高达 5-11% 的地貌不规则性；大约 8 到 15 年后，这一比例慢慢减少到 2% 到 5%；与事件发生前的海岸线相比，现在最终达到 3-6%。考虑到海啸的分形维数和水动力能量的这些变化，造成了突然的海岸重塑，提出了一个简单的残余弹性的经验表达式和评估。作为第一步，就能量而言，真正的物理意义归因于（无量纲的）分形维数。大约 8 到 15 年后，这一比例慢慢减少到 2% 到 5%；与事件发生前的海岸线相比，现在最终达到 3-6%。考虑到海啸的分形维数和水动力能量的这些变化，造成了突然的海岸重塑，提出了一个简单的残余弹性的经验表达式和评估。作为第一步，就能量而言，真正的物理意义归因于（无量纲的）分形维数。大约 8 到 15 年后，这一比例慢慢减少到 2% 到 5%；与事件前的海岸线相比，现在最终达到 3-6%。考虑到海啸的分形维数和水动力能量的这些变化，造成了突然的海岸重塑，提出了一个简单的残余弹性的经验表达式和评估。作为第一步，就能量而言，真正的物理意义归因于（无量纲的）分形维数。