Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice
An optimization problem is proposed for inferring physical properties of polycrystals given ultrasonic (elastic) wave velocity measurements, made across multiple sample orientations. The feasibility of the method is demonstrated by inferring both the effective grain elastic parameters and the grain...
Published in: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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2022
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Online Access: | http://dx.doi.org/10.1098/rspa.2022.0574 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2022.0574 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2022.0574 |
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crroyalsociety:10.1098/rspa.2022.0574 2024-06-02T07:57:57+00:00 Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice Rathmann, Nicholas M. Grinsted, Aslak Mosegaard, Klaus Lilien, David A. Westhoff, Julien Hvidberg, Christine S. Prior, David J. Lutz, Franz Thomas, Rilee E. Dahl-Jensen, Dorthe Danmarks Frie Forskningsfond Villum Fonden 2022 http://dx.doi.org/10.1098/rspa.2022.0574 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2022.0574 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2022.0574 en eng The Royal Society https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 478, issue 2268 ISSN 1364-5021 1471-2946 journal-article 2022 crroyalsociety https://doi.org/10.1098/rspa.2022.0574 2024-05-07T14:16:13Z An optimization problem is proposed for inferring physical properties of polycrystals given ultrasonic (elastic) wave velocity measurements, made across multiple sample orientations. The feasibility of the method is demonstrated by inferring both the effective grain elastic parameters and the grain c -axis orientation distribution function (ODF) of ice-core samples from Priestley glacier, Antarctica. The method relies on expanding the ODF in terms of a spherical harmonic series, which allows for a non-parametric estimation of the sample ODF. Moreover, any linear combination of the Voigt (strain) and Reuss (stress) homogenization scheme is allowed, although for glacier ice, the exact choice is found to matter little for bulk elastic behaviour, and thus for inferred physical properties, too. Finally, the accuracy of the inferred grain elastic parameters is discussed, including the well-posedness and shortcomings of the inverse problem, relevant for future adoptions in glaciology, geology and elsewhere. Article in Journal/Newspaper Antarc* Antarctica ice core Priestley Glacier The Royal Society Priestley ENVELOPE(161.883,161.883,-75.183,-75.183) Priestley Glacier ENVELOPE(163.367,163.367,-74.333,-74.333) Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 478 2268 |
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Open Polar |
collection |
The Royal Society |
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crroyalsociety |
language |
English |
description |
An optimization problem is proposed for inferring physical properties of polycrystals given ultrasonic (elastic) wave velocity measurements, made across multiple sample orientations. The feasibility of the method is demonstrated by inferring both the effective grain elastic parameters and the grain c -axis orientation distribution function (ODF) of ice-core samples from Priestley glacier, Antarctica. The method relies on expanding the ODF in terms of a spherical harmonic series, which allows for a non-parametric estimation of the sample ODF. Moreover, any linear combination of the Voigt (strain) and Reuss (stress) homogenization scheme is allowed, although for glacier ice, the exact choice is found to matter little for bulk elastic behaviour, and thus for inferred physical properties, too. Finally, the accuracy of the inferred grain elastic parameters is discussed, including the well-posedness and shortcomings of the inverse problem, relevant for future adoptions in glaciology, geology and elsewhere. |
author2 |
Danmarks Frie Forskningsfond Villum Fonden |
format |
Article in Journal/Newspaper |
author |
Rathmann, Nicholas M. Grinsted, Aslak Mosegaard, Klaus Lilien, David A. Westhoff, Julien Hvidberg, Christine S. Prior, David J. Lutz, Franz Thomas, Rilee E. Dahl-Jensen, Dorthe |
spellingShingle |
Rathmann, Nicholas M. Grinsted, Aslak Mosegaard, Klaus Lilien, David A. Westhoff, Julien Hvidberg, Christine S. Prior, David J. Lutz, Franz Thomas, Rilee E. Dahl-Jensen, Dorthe Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice |
author_facet |
Rathmann, Nicholas M. Grinsted, Aslak Mosegaard, Klaus Lilien, David A. Westhoff, Julien Hvidberg, Christine S. Prior, David J. Lutz, Franz Thomas, Rilee E. Dahl-Jensen, Dorthe |
author_sort |
Rathmann, Nicholas M. |
title |
Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice |
title_short |
Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice |
title_full |
Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice |
title_fullStr |
Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice |
title_full_unstemmed |
Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice |
title_sort |
elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice |
publisher |
The Royal Society |
publishDate |
2022 |
url |
http://dx.doi.org/10.1098/rspa.2022.0574 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2022.0574 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2022.0574 |
long_lat |
ENVELOPE(161.883,161.883,-75.183,-75.183) ENVELOPE(163.367,163.367,-74.333,-74.333) |
geographic |
Priestley Priestley Glacier |
geographic_facet |
Priestley Priestley Glacier |
genre |
Antarc* Antarctica ice core Priestley Glacier |
genre_facet |
Antarc* Antarctica ice core Priestley Glacier |
op_source |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 478, issue 2268 ISSN 1364-5021 1471-2946 |
op_rights |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
op_doi |
https://doi.org/10.1098/rspa.2022.0574 |
container_title |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
478 |
container_issue |
2268 |
_version_ |
1800741172303364096 |