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Acoustic–gravity waves from multi-fault rupture

Published online by Cambridge University Press:  29 March 2021

Byron Williams Open the ORCID record for Byron Williams [Opens in a new window] ,
Usama Kadri Open the ORCID record for Usama Kadri [Opens in a new window]  and
Ali Abdolali Open the ORCID record for Ali Abdolali [Opens in a new window]
Byron Williams
Affiliation:
School of Mathematics, Cardiff University, CardiffCF24 4AG, UK
Usama Kadri*
Affiliation:
School of Mathematics, Cardiff University, CardiffCF24 4AG, UK
Ali Abdolali
Affiliation:
NWS/NCEP/Environmental Modeling Center, National Oceanic and Atmospheric Administration (NOAA), College Park, MD20740, USA I.M. Systems Group, Inc. (IMSG), Rockville, MD20852, USA University of Maryland, College Park, MD20742, USA
*
†Email address for correspondence: [email protected]
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Abstract

The propagation of wave disturbances from a complex multi-fault submarine earthquake of slender rectangular segments in a sea of constant depth is discussed, accounting for both water compressibility and gravity effects. It is found that including gravity effects the modal envelopes of the modified two-dimensional acoustic waves and the tsunami are governed by the Schrödinger equation. An explicit solution is derived using a multi-fault approach that allows capturing the main peak of the tsunami. Moreover, a linear superposition of the solution allows solving complicated multi-fault ruptures, in particular in the absence of dissipation due to large variations in depth. Consequently, the modulations of acoustic waves due to gravity, and of tsunami due to compressibility, are governed simultaneously and accurately, which is essential for practical applications such as tsunami early warning systems. The results are validated numerically against the mild-slope equation for weakly compressible fluids.

JFM classification

Low-Reynolds-number flows: Slender-body theory
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 915 , 25 May 2021 , A108
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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Williams et al. supplementary movie 1

Bottom pressure fields from the numerical model for a single fault (L= 100 km and b= 10 km). The parameters are given in Figure 3. the numerical domain extent and the coordinates of the virtual point observations are shown.

Download Williams et al. supplementary movie 1(Video)
Video 72.2 MB

Williams et al. supplementary movie 2

Bottom pressure fields from the current model, Eq. (5.1) (left column), numerical model for the case of constant depth of 4 km (middle column) and numerical model for the case of variable depth (right column).

Download Williams et al. supplementary movie 2(Video)
Video 28 MB
Supplementary material: PDF

Williams et al. supplementary material

Supplementary data

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