An Efficient Tsunami Arrival Time Estimator Coupled to Acoustic Gravity
Wave Multi-Fault Rupture solution
Abstract
The Dijkstra’s algorithm is employed to find the shortest paths between
the epicenter and all the wet nodes on a global triangular unstructured
mesh using the phase speed of surface gravity waves and progressive
acoustic modes. The phase speed estimator takes into account the
simultaneous effects of the slight compressibility of water, sea-bed
elasticity, and static compression of the ocean under gravity, leading
to precise calculation of the arrival time [1]. Coupled to a
mathematical solution for multi-fault rupture along the transect
extracted from the shortest path between the source and destination is
then employed to characterize the genesis of the tsunami [2]. The
effectiveness of the aforementioned algorithms and distinct arrival time
of different the tsunami and its precursor components (acoustic modes)
at DART and deep ocean acoustic observations can be used for tsunami
early warning systems. [1] Abdolali, A., Kadri, U. & J.T. Kirby,
2019, Effect of Water Compressibility, Sea-floor Elasticity, and Field
Gravitational Potential on Tsunami Phase Speed, Scientific Reports,
Nature, doi:10.1038/s41598-019-52475-0 [2] Williams, B., Kadri, U.,
& Abdolali, A. (2021). Acoustic–gravity waves from multi-fault
rupture. Journal of Fluid Mechanics, 915, A108. doi:10.1017/jfm.2021.101