On the attenuation of waves through broken ice of randomly-varying thickness on water of finite depth
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910040699437056 |
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| author | Dafydd, Lloyd Porter, Richard |
| author_facet | Dafydd, Lloyd Porter, Richard |
| contents | The recent work of Dafydd and Porter [2024] on the attenuation of waves propagating through floating broken ice of random thickness is extended to consider water of non-shallow depth. A theoretical model of broken floating ice is analysed using a multiple scales analysis to provide an explicit expression for the attenuation of waves as they propagate from a region of constant thickness ice into a semi-infinite region of ice whose thickness is a slowly-varying random function of distance. Theoretical predictions are shown to compare well to numerical simulations of scattering over long finite regions of ice of randomly-varying thickness computed from an approximate depth-averaged model derived under a mild-slope assumption. The theory predicts a low-frequency attenuation proportional to the eighth power of frequency and a roll-over effect at higher frequencies. The relationship between the results and field measurements are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20099 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the attenuation of waves through broken ice of randomly-varying thickness on water of finite depth Dafydd, Lloyd Porter, Richard Atmospheric and Oceanic Physics Analysis of PDEs Fluid Dynamics The recent work of Dafydd and Porter [2024] on the attenuation of waves propagating through floating broken ice of random thickness is extended to consider water of non-shallow depth. A theoretical model of broken floating ice is analysed using a multiple scales analysis to provide an explicit expression for the attenuation of waves as they propagate from a region of constant thickness ice into a semi-infinite region of ice whose thickness is a slowly-varying random function of distance. Theoretical predictions are shown to compare well to numerical simulations of scattering over long finite regions of ice of randomly-varying thickness computed from an approximate depth-averaged model derived under a mild-slope assumption. The theory predicts a low-frequency attenuation proportional to the eighth power of frequency and a roll-over effect at higher frequencies. The relationship between the results and field measurements are discussed. |
| title | On the attenuation of waves through broken ice of randomly-varying thickness on water of finite depth |
| topic | Atmospheric and Oceanic Physics Analysis of PDEs Fluid Dynamics |
| url | https://arxiv.org/abs/2508.20099 |