Experiments on generation of surface waves by an underwater moving bottom

Author:

Jamin Timothée1,Gordillo Leonardo12ORCID,Ruiz-Chavarría Gerardo3,Berhanu Michael1,Falcon Eric1

Affiliation:

1. Université Paris Diderot, Sorbonne Paris Cité, MSC, UMR 7057 CNRS, 75013 Paris, France

2. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile

3. Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510 México DF, Mexico

Abstract

We report laboratory experiments on surface waves generated in a uniform fluid layer whose bottom undergoes an upward motion. Simultaneous measurements of the free-surface deformation and the fluid velocity field are focused on the role of the bottom kinematics (i.e. its spatio-temporal features) in wave generation. We observe that the fluid layer transfers bottom motion to the free surface as a temporal high-pass filter coupled with a spatial low-pass filter. Both filter effects are often neglected in tsunami warning systems, particularly in real-time forecast. Our results display good agreement with a prevailing linear theory without any parameter fitting. Based on our experimental findings, we provide a simple theoretical approach for modelling the rapid kinematics limit that is applicable even for initially non-flat bottoms: this may be a key step for more realistic varying bathymetry in tsunami scenarios.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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