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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Main Authors: | , , , , , , , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
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2022
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Online Access: | https://curis.ku.dk/portal/da/publications/elastic-wave-propagation-in-anisotropic-polycrystals(4baace4c-b46c-48d2-bfaa-f2ef24491dc3).html https://doi.org/10.1098/rspa.2022.0574 https://curis.ku.dk/ws/files/329224384/rspa.2022.0574.pdf |
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ftcopenhagenunip:oai:pure.atira.dk:publications/4baace4c-b46c-48d2-bfaa-f2ef24491dc3 2024-04-14T08:03:24+00:00 Elastic wave propagation in anisotropic polycrystals:inferring physical properties of glacier ice Rathmann, Nicholas M. M. Grinsted, Aslak Mosegaard, Klaus Lilien, David A. A. Westhoff, Julien Hvidberg, Christine S. S. Prior, David J. J. Lutz, Franz Thomas, Rilee E. E. Dahl-Jensen, Dorthe 2022-12-21 application/pdf https://curis.ku.dk/portal/da/publications/elastic-wave-propagation-in-anisotropic-polycrystals(4baace4c-b46c-48d2-bfaa-f2ef24491dc3).html https://doi.org/10.1098/rspa.2022.0574 https://curis.ku.dk/ws/files/329224384/rspa.2022.0574.pdf eng eng info:eu-repo/semantics/openAccess Rathmann , N M M , Grinsted , A , Mosegaard , K , Lilien , D A A , Westhoff , J , Hvidberg , C S S , Prior , D J J , Lutz , F , Thomas , R E E & Dahl-Jensen , D 2022 , ' Elastic wave propagation in anisotropic polycrystals : inferring physical properties of glacier ice ' , Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , vol. 478 , no. 2268 , 20220574 . https://doi.org/10.1098/rspa.2022.0574 elastic wave propagation polycrystals composites effective properties ice CRYSTALLOGRAPHIC PREFERRED ORIENTATIONS GRAIN-BOUNDARY COMPLIANCE SEISMIC ANISOTROPY CRYSTAL-ORIENTATION WEST ANTARCTICA UPPER-MANTLE SINGLE-CRYSTALS SHEAR MARGIN VELOCITY TEXTURE article 2022 ftcopenhagenunip https://doi.org/10.1098/rspa.2022.0574 2024-03-21T17:28:19Z 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 West Antarctica University of Copenhagen: Research Priestley ENVELOPE(161.883,161.883,-75.183,-75.183) Priestley Glacier ENVELOPE(163.367,163.367,-74.333,-74.333) West Antarctica Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 478 2268 |
institution |
Open Polar |
collection |
University of Copenhagen: Research |
op_collection_id |
ftcopenhagenunip |
language |
English |
topic |
elastic wave propagation polycrystals composites effective properties ice CRYSTALLOGRAPHIC PREFERRED ORIENTATIONS GRAIN-BOUNDARY COMPLIANCE SEISMIC ANISOTROPY CRYSTAL-ORIENTATION WEST ANTARCTICA UPPER-MANTLE SINGLE-CRYSTALS SHEAR MARGIN VELOCITY TEXTURE |
spellingShingle |
elastic wave propagation polycrystals composites effective properties ice CRYSTALLOGRAPHIC PREFERRED ORIENTATIONS GRAIN-BOUNDARY COMPLIANCE SEISMIC ANISOTROPY CRYSTAL-ORIENTATION WEST ANTARCTICA UPPER-MANTLE SINGLE-CRYSTALS SHEAR MARGIN VELOCITY TEXTURE Rathmann, Nicholas M. M. Grinsted, Aslak Mosegaard, Klaus Lilien, David A. A. Westhoff, Julien Hvidberg, Christine S. S. Prior, David J. J. Lutz, Franz Thomas, Rilee E. E. Dahl-Jensen, Dorthe Elastic wave propagation in anisotropic polycrystals:inferring physical properties of glacier ice |
topic_facet |
elastic wave propagation polycrystals composites effective properties ice CRYSTALLOGRAPHIC PREFERRED ORIENTATIONS GRAIN-BOUNDARY COMPLIANCE SEISMIC ANISOTROPY CRYSTAL-ORIENTATION WEST ANTARCTICA UPPER-MANTLE SINGLE-CRYSTALS SHEAR MARGIN VELOCITY TEXTURE |
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. |
format |
Article in Journal/Newspaper |
author |
Rathmann, Nicholas M. M. Grinsted, Aslak Mosegaard, Klaus Lilien, David A. A. Westhoff, Julien Hvidberg, Christine S. S. Prior, David J. J. Lutz, Franz Thomas, Rilee E. E. Dahl-Jensen, Dorthe |
author_facet |
Rathmann, Nicholas M. M. Grinsted, Aslak Mosegaard, Klaus Lilien, David A. A. Westhoff, Julien Hvidberg, Christine S. S. Prior, David J. J. Lutz, Franz Thomas, Rilee E. E. Dahl-Jensen, Dorthe |
author_sort |
Rathmann, Nicholas M. 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 |
publishDate |
2022 |
url |
https://curis.ku.dk/portal/da/publications/elastic-wave-propagation-in-anisotropic-polycrystals(4baace4c-b46c-48d2-bfaa-f2ef24491dc3).html https://doi.org/10.1098/rspa.2022.0574 https://curis.ku.dk/ws/files/329224384/rspa.2022.0574.pdf |
long_lat |
ENVELOPE(161.883,161.883,-75.183,-75.183) ENVELOPE(163.367,163.367,-74.333,-74.333) |
geographic |
Priestley Priestley Glacier West Antarctica |
geographic_facet |
Priestley Priestley Glacier West Antarctica |
genre |
Antarc* Antarctica ice core Priestley Glacier West Antarctica |
genre_facet |
Antarc* Antarctica ice core Priestley Glacier West Antarctica |
op_source |
Rathmann , N M M , Grinsted , A , Mosegaard , K , Lilien , D A A , Westhoff , J , Hvidberg , C S S , Prior , D J J , Lutz , F , Thomas , R E E & Dahl-Jensen , D 2022 , ' Elastic wave propagation in anisotropic polycrystals : inferring physical properties of glacier ice ' , Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , vol. 478 , no. 2268 , 20220574 . https://doi.org/10.1098/rspa.2022.0574 |
op_rights |
info:eu-repo/semantics/openAccess |
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 |
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1796299648491585536 |