As a mean to assess the risk dam structures are exposed to during earthquakes, we employ an abstract mathematical, three dimensional, elasto-acoustic coupled wave-propagation model taking into account (i) the dam structure itself, embedded into (ii) its surrounding topography, (iii) different material soil layers, (iv) the seismic source as well as (v) the reservoir lake filled with water treated as an acoustic medium. As a case study for extensive numerical simulations we consider the magnitude 7 seismic event of the 30$^{\rm th}$ of October 2020 taking place in the Icarian Sea (Greece) and the Tahtali dam around 30 km from there (Turkey). A challenging task is to resolve the multiple length scales that are present due to the huge differences in size between the dam building structure and the area of interest, considered for the propagation of the earthquake. Interfaces between structures and highly non-conforming meshes on different scales are resolved by means of a discontinuous Galerkin approach. The seismic source is modeled using inversion data about the real fault plane. Ultimately, we perform a real data driven, multi-scale, full source-to-site, physics based simulation based on the discontinuous Galerkin spectral element method, which allows to precisely validate the ground motion experienced along the Tahtali dam, comparing the synthetic seismograms against actually observed ones. A comparison with a more classical computational method, using a plane wave with data from a deconvolved seismogram reading as an input, is discussed.
翻译:作为评估地震期间大坝结构所面临风险的一种手段,我们采用了一个抽象的数学、三维、埃拉斯托声波结合波波反射模型,其中考虑到:(一) 水坝结构本身,嵌入(二) 周围地形,(三) 不同的材料土壤层,(四) 地震源以及(五) 水库湖中装满水作为声学媒介处理。作为广泛数字模拟的案例研究,我们认为2020年10月在伊卡里亚海(希腊)和离那里约30公里的塔赫塔利大坝发生的30美元地震事件规模7级地震事件(土耳其)。一项具有挑战性的任务是解决由于大坝建筑结构和利益区域之间的巨大差异而存在的多长尺度,这是为地震的传播而考虑的。结构与不同规模高度不相容的中间线的模型之间的相互作用是通过不连续的Galerkinkin 方法解决的。地震源的模型是使用关于实际断层平面平面平面平面平流数据的模型。最后,我们用真实的平面平面平面平面平面平面的平面比法进行真实的平面平面平面平面的平面比较,将一个基于的平面平面平面平面平面的平面平面平面平面平面平面平面的平面平面平面平面平面平面平比法,使整个平面的平面平面平面平面平面平面平面平面平面平面平面平面的平面平面平面平面平面平面平面平面平面平面平面平面平面平面平面平面平面平面平基平基平基平基平基的平面平基平基平基平基平基平基平基。