Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-25T07:07:03.920Z Has data issue: false hasContentIssue false
  • English
  • Français

Hydro-acoustic precursors of gravity waves generated by surface pressure disturbances localised in space and time

Published online by Cambridge University Press:  31 July 2014

Emiliano Renzi  and
F. Dias
Emiliano Renzi*
Affiliation:
UCD School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
F. Dias
Affiliation:
UCD School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland CMLA, Ecole Normale Supérieure de Cachan, 94235 Cachan, France
*
†Email address for correspondence: emiliano.renzi@ucd.ie
Get access Rights & Permissions [Opens in a new window]

Abstract

We consider the mechanics of coupled underwater-acoustic and surface-gravity waves generated by surface pressure disturbances in a slightly compressible fluid. We show that pressure changes on the ocean surface, localised in space and time, can induce appreciable underwater compression waves which are precursors of the surface gravity waves. Although the physical properties of acoustic-gravity waves have already been discussed in the literature, such dynamics was not investigated in previous studies. We derive new results for the underwater compression wave field and discuss the dynamics of its generation and propagation. This work could lead to the design of innovative alert systems for coastal flooding management.

JFM classification

Compressible Flows: Compressible Flows Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 754 , 10 September 2014 , pp. 250 - 262
Copyright
© 2014 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ardhuin, F. & Herbers, T. H. C. 2013 Noise generation in the solid Earth, oceans and atmosphere, from nonlinear interacting surface gravity waves in finite depth. J. Fluid Mech. 716, 316–348.Google Scholar
Ardhuin, F., Lavanant, T., Obrebski, M., Marié, L., Royer, J.-Y., d’Eu, J.-F., Howe, B. M., Lukas, R. & Aucan, J. 2013 A numerical model for ocean ultra low frequency noise: wave-generated acoustic-gravity and Rayleigh modes. J. Acoust. Soc. Am. 134, 3242–3259.Google Scholar
Eyov, E., Klar, A., Kadri, U. & Stiassnie, M. 2013 Progressive waves in a compressible ocean with an elastic bottom. Wave Motion 50, 929–939.CrossRefGoogle Scholar
Falcon, E., Laroche, C. & Fauve, S. 2003 Observation of Sommerfeld precursors on a fluid surface. Phys. Rev. Lett. 91 (6), 064502.Google Scholar
Gradshteyn, I. S. & Ryzhik, I. M. 2007 Tables of Integrals, Series and Products. Academic Press.Google Scholar
Guo, Y. P. 1987 Waves induced by sources near the ocean surface. J. Fluid Mech. 181, 293–310.Google Scholar
Hasselmann, K. 1963 A statistical analysis of the generation of microseisms. Rev. Geophys. 1 (2), 177–210.CrossRefGoogle Scholar
Kibblewhite, A. C. & Ewans, K. C. 1996 Wave Interactions as a Seismo-Acoustic Source. Springer.Google Scholar
Lighthill, J. 1978 Waves in Fluids. Cambridge University Press.Google Scholar
Longuet-Higgins, M. S. 1950 A theory of the origin of microseisms. Phil. Trans. R. Soc. Lond. A 243, 1–35.Google Scholar
Mei, C. C. 1997 Mathematical Analysis in Engineering. Cambridge University Press.Google Scholar
Mei, C. C., Stiassnie, M. & Yue, D. K.-P. 2005 Theory and Applications of Ocean Surface Waves. World Scientific.Google Scholar
Renzi, E. & Sammarco, P. 2012 The influence of landslide shape and continental shelf on landslide generated tsunamis along a plane beach. Nat. Hazards Earth Syst. Sci. 12, 1503–1520.Google Scholar
Sammarco, P., Cecioni, C., Bellotti, G. & Abdolali, A. 2013 Depth-integrated equation for large-scale modelling of low-frequency hydroacoustic waves. J. Fluid Mech. 722, 1–10.Google Scholar
Sammarco, P. & Renzi, E. 2008 Landslide tsunamis propagating along a plane beach. J. Fluid Mech. 598, 107–119.Google Scholar
Stiassnie, M. 2010 Tsunamis and acoustic-gravity waves from underwater earthquakes. J. Engng Maths 67 (1–2), 23–32.Google Scholar
Stoneley, M. A. 1926 The effect of the ocean on Rayleigh waves. Mon. Not. R. Astron. Soc. 349–356; Geophys. Suppl. 1.CrossRefGoogle Scholar
Waxler, R. & Gilbert, K. E. 2006 The radiation of atmospheric microbaroms by ocean waves. J. Acoust. Soc. Am. 119, 2651–2664.Google Scholar
Wilson, J. D. & Makris, N. C. 2008 Quantifying hurricane destructive power, wind speed, and air–sea material exchange with natural undersea sound. Geophys. Res. Lett. 35 (10), L10603.Google Scholar