Abstract

The ocean depth is usually measured by an echo sounder in the course of a vessel cruise. However, there are a lot of areas in the World Ocean which are free of navigation. This means that by now there are no direct bathymetry measurements. For numerical modeling of trans-oceanic tsunamis we need digital bathymetry of the whole water area. The thus arising problem is to reconstruct (at least approximately) the depth values in areas without reliable bathymetric data. This can be done in the process of propagation of a real tsunami with the help of detectors. Two algorithms for depth reconstruction based on tsunami arrival times are proposed. The algorithms have been tested on a depth reconstruction problem in an area with a sloping bottom, where the tsunami arrival times at the nodes of a rectangular grid are known.

中文翻译：

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根据记录的海啸到达时间重建海洋深度

摘要

海洋深度通常在船舶航行过程中由回声测深仪测量。但是，世界海洋中有很多区域是不能通航的。这意味着到目前为止还没有直接的水深测量。对于跨洋海啸的数值模拟，我们需要整个水域的数字水深测量。由此产生的问题是在没有可靠测深数据的区域重建（至少近似）深度值。这可以在探测器的帮助下在真实海啸的传播过程中完成。提出了两种基于海啸到达时间的深度重建算法。这些算法已经在具有倾斜底部的区域的深度重建问题上进行了测试，其中矩形网格节点的海啸到达时间是已知的。