The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom
Acoustic-gravity wave propagation under a compressed ice-shelf is mathematically modelled under the assumption of small ice-shelf deflection, linearised compressible water wave theory, and ocean floor elasticity. The dispersion relation associated with the acoustic-gravity modes is derived. Special...
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Elsevier
2022
|
Subjects: | |
Online Access: | http://hdl.handle.net/1959.13/1464485 |
id |
ftunivnewcastnsw:uon:47012 |
---|---|
record_format |
openpolar |
spelling |
ftunivnewcastnsw:uon:47012 2023-05-15T16:41:49+02:00 The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom Das, Santu Meylan, Michael H. The University of Newcastle. College of Engineering, Science & Environment, School of Information and Physical Sciences 2022 http://hdl.handle.net/1959.13/1464485 eng eng Elsevier Wave Motion Vol. 110, no. 102897 10.1016/j.wavemoti.2022.102897 http://hdl.handle.net/1959.13/1464485 uon:47012 ISSN:0165-2125 acoustic-gravity wave ice-shelves compressibility elastic-bottom dispersion relation journal article 2022 ftunivnewcastnsw 2022-12-19T23:26:02Z Acoustic-gravity wave propagation under a compressed ice-shelf is mathematically modelled under the assumption of small ice-shelf deflection, linearised compressible water wave theory, and ocean floor elasticity. The dispersion relation associated with the acoustic-gravity modes is derived. Special cases of the free surface gravity wave motion with a rigid and elastic bottom, and flexural-gravity wave motion with rigid ocean bottom are approximated by utilising the dispersion relation. The effect of ice-shelf thickness and compressive stress on the propagation speed is investigated for different acoustic-gravity modes. The pressure distribution along the water column and the ice-shelf due to different acoustic-gravity modes are illustrated. While ice thickness significantly alters the phase speed and pressure distribution, the compressive force generally has a negligible effect on the phase speed of acoustic-gravity modes. However, the compression has significant effect on the pressure distribution. A separate treatment for relatively low frequencies shows a significant impact of the compressive force on the spatial pressure distribution. The dominance of the leading acoustic-gravity modes on different physical characteristics is evident from their graphical representations. An orthogonality property for the depth-dependent functions of the velocity potential in the water region is established along with a few approximate forms. This mathematical model can be treated as a more general one that can unify several well-established models of acoustic-gravity wave propagation. Article in Journal/Newspaper Ice Shelf Ice Shelves NOVA: The University of Newcastle Research Online (Australia) |
institution |
Open Polar |
collection |
NOVA: The University of Newcastle Research Online (Australia) |
op_collection_id |
ftunivnewcastnsw |
language |
English |
topic |
acoustic-gravity wave ice-shelves compressibility elastic-bottom dispersion relation |
spellingShingle |
acoustic-gravity wave ice-shelves compressibility elastic-bottom dispersion relation Das, Santu Meylan, Michael H. The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom |
topic_facet |
acoustic-gravity wave ice-shelves compressibility elastic-bottom dispersion relation |
description |
Acoustic-gravity wave propagation under a compressed ice-shelf is mathematically modelled under the assumption of small ice-shelf deflection, linearised compressible water wave theory, and ocean floor elasticity. The dispersion relation associated with the acoustic-gravity modes is derived. Special cases of the free surface gravity wave motion with a rigid and elastic bottom, and flexural-gravity wave motion with rigid ocean bottom are approximated by utilising the dispersion relation. The effect of ice-shelf thickness and compressive stress on the propagation speed is investigated for different acoustic-gravity modes. The pressure distribution along the water column and the ice-shelf due to different acoustic-gravity modes are illustrated. While ice thickness significantly alters the phase speed and pressure distribution, the compressive force generally has a negligible effect on the phase speed of acoustic-gravity modes. However, the compression has significant effect on the pressure distribution. A separate treatment for relatively low frequencies shows a significant impact of the compressive force on the spatial pressure distribution. The dominance of the leading acoustic-gravity modes on different physical characteristics is evident from their graphical representations. An orthogonality property for the depth-dependent functions of the velocity potential in the water region is established along with a few approximate forms. This mathematical model can be treated as a more general one that can unify several well-established models of acoustic-gravity wave propagation. |
author2 |
The University of Newcastle. College of Engineering, Science & Environment, School of Information and Physical Sciences |
format |
Article in Journal/Newspaper |
author |
Das, Santu Meylan, Michael H. |
author_facet |
Das, Santu Meylan, Michael H. |
author_sort |
Das, Santu |
title |
The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom |
title_short |
The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom |
title_full |
The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom |
title_fullStr |
The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom |
title_full_unstemmed |
The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom |
title_sort |
effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom |
publisher |
Elsevier |
publishDate |
2022 |
url |
http://hdl.handle.net/1959.13/1464485 |
genre |
Ice Shelf Ice Shelves |
genre_facet |
Ice Shelf Ice Shelves |
op_relation |
Wave Motion Vol. 110, no. 102897 10.1016/j.wavemoti.2022.102897 http://hdl.handle.net/1959.13/1464485 uon:47012 ISSN:0165-2125 |
_version_ |
1766032287075401728 |