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Title: Pressure induced by the interaction of water waves with nearly equal frequencies and nearly opposite directions
Authors: Pellet, Lauranne 
Christodoulides, Paul 
Donne, Sarah 
Bean, Chris 
Dias, Frederic 
Major Field of Science: Engineering and Technology
Field Category: Electrical Engineering - Electronic Engineering - Information Engineering;Mechanical Engineering
Keywords: Microseisms;Ocean wave–wave interaction;Pressure
Issue Date: May-2017
Source: Theoretical and Applied Mechanics Letters, 2017, vol. 7, no. 3, pp. 138-144
Volume: 7
Issue: 3
Start page: 138
End page: 144
Journal: Theoretical and Applied Mechanics Letters 
Abstract: We present second-order expressions for the free-surface elevation, velocity potential and pressure resulting from the interaction of surface waves in water of arbitrary depth. When the surface waves have nearly equal frequencies and nearly opposite directions, a second-order pressure can be felt all the way to the sea bottom. There are at least two areas of applications: reflective structures and microseisms. Microseisms generated by water waves in the ocean are small vibrations of the ground resulting from pressure oscillations associated with the coupling of ocean surface gravity waves and the sea floor. They are recorded on land-based seismic stations throughout the world and they are divided into primary and secondary types, as a function of spectral content. Secondary microseisms are generated by the interaction of surface waves with nearly equal frequencies and nearly opposite directions. The efficiency of microseism generation thus depends in part on ocean wave frequency and direction. Based on the second-order expressions for the dynamic pressure, a simple theoretical analysis that quantifies the degree of nearness in amplitude, frequency, and incidence angle, which must be reached to observe the phenomenon, is presented.
ISSN: 2095-0349
DOI: 10.1016/j.taml.2017.04.002
Rights: © The Authors. Published by Elsevier Ltd on behalf of The Chinese Society of Theoretical and Applied Mechanics. This is an open access article under the CC BY-NC-ND license
Type: Article
Affiliation : Ecole Centrale Marseille 
Cyprus University of Technology 
University College Dublin 
Dublin Institute for Advanced Studies 
Appears in Collections:Άρθρα/Articles

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