Advertisement

Acta Geophysica

, Volume 66, Issue 3, pp 283–291 | Cite as

Identifying the role of initial wave parameters on tsunami focusing

  • Baran Aydın
Research Article - Solid Earth Sciences
  • 61 Downloads

Abstract

Unexpected local tsunami amplification, which is referred to as tsunami focusing, is attributed to two different mechanisms: bathymetric features of the ocean bottom such as underwater ridges and dipolar shape of the initial wave itself. In this study, we characterize the latter; that is, we explore how amplitude and location of the focusing point vary with certain geometric parameters of the initial wave such as its steepness and crest length. Our results reveal two important features of tsunami focusing: for mild waves maximum wave amplitude increases significantly with transverse length of wave crest, while location of the focusing point is almost invariant. For steep waves, on the other hand, increasing crest length dislocates focusing point significantly, while it causes a rather small increase in wave maximum.

Keywords

Tsunami Focusing Dipolar waves Steepness Finite crest length 

Notes

Acknowledgements

The author acknowledges the financial support by Adana Science and Technology University Unit of Scientific Research Project Coordination through Project Number MUHDBF.IM.2015-8.

Compliance with ethical standards

Conflict of interest

The author states no conflict of interest.

References

  1. Aydın B (2011) Analytical solutions of shallow-water wave equations. Ph.D. Thesis, Middle East Technical University, AnkaraGoogle Scholar
  2. Ben-Menahem A (1961) Radiation of seismic surface-waves from finite moving sources. Bull Seismol Soc Am 51(3):401–435Google Scholar
  3. Ben-Menahem A, Rosenman M (1972) Amplitude patterns of tsunami waves from submarine earthquakes. J Geophys Res 77(17):3097–3128.  https://doi.org/10.1029/JB077i017p03097 CrossRefGoogle Scholar
  4. Berry MV (2007) Focused tsunami waves. Proc R Soc A 463:3055–3071.  https://doi.org/10.1098/rspa.2007.0051 CrossRefGoogle Scholar
  5. Carrier GF, Yeh H (2005) Tsunami propagation from a finite source. Comput Model Eng Sci 10:113–121.  https://doi.org/10.3970/cmes.2005.010.113 Google Scholar
  6. Degueldre H, Metzger JJ, Geisel T, Fleischmann R (2015) Random focusing of tsunami waves. Nat Phys 12:259–262.  https://doi.org/10.1038/NPHYS3557 CrossRefGoogle Scholar
  7. Dotsenko SF, Sergeevsky BY, Cherkesov LV (1986) Spatial tsunami waves caused by a sign-changing displacement of the ocean surface. In: Tsunami Waves Researches, pp. 1–7. Academy of Sciences of the USSR (in Russian)Google Scholar
  8. Kânoğlu U, Titov VV, Aydın B, Moore C, Stefanakis TS, Zhou H, Spillane M, Synolakis CE (2013) Focusing of long waves with finite crest over constant depth. Proc R Soc A.  https://doi.org/10.1098/rspa.2013.0015
  9. Marchuk AG, Titov VV (1989) Source configuration and the process of tsunami waves forming. In: Gusiakov VK (ed) Tsunamis: their science and hazard mitigation, Proceedings of international tsunami symposium, pp 11–17. Novosibirsk, USSRGoogle Scholar
  10. Okal EA (2003) Normal mode energetics for far-field tsunamis generated by dislocations and landslides. Pure Appl Geophys 160:2189–2221.  https://doi.org/10.1007/s00024-003-2426-9 CrossRefGoogle Scholar
  11. Pelinovsky E (2006) Hydrodynamics of tsunami waves. In: Grue J, Trulsen K (eds) Waves in geophysical fluids: tsunamis, rogue waves, internal waves and internal tides, vol 1. Springer, NewYork, pp 1–48Google Scholar
  12. Satake K (1988) Effects of bathymetry on tsunami propagation: application of ray tracing to tsunamis. Pure Appl Geophys 126(1):27–36.  https://doi.org/10.1007/BF00876912 CrossRefGoogle Scholar
  13. Stoker JJ (1957) Water waves: the mathematical theory with applications. Wiley, AmsterdamGoogle Scholar
  14. Tadepalli S, Synolakis CE (1994) The run-up of N-waves on sloping beaches. Proc R Soc A 445:99–112.  https://doi.org/10.1098/rspa.1994.0050 CrossRefGoogle Scholar
  15. Titov V, Rabinovich AB, Mofjeld HO, Thomson RE, González FI (2005) The global reach of the 26 December 2004 Sumatra Tsunami. Science 309(5743):2045–8CrossRefGoogle Scholar

Copyright information

© Institute of Geophysics, Polish Academy of Sciences & Polish Academy of Sciences 2018

Authors and Affiliations

  1. 1.Adana Science and Technology UniversityAdanaTurkey

Personalised recommendations