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...

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Bibliographic Details
Published in:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Main Authors: 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
Format: Article in Journal/Newspaper
Language:English
Published: 2022
Subjects:
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
Priestley
Priestley Glacier
West Antarctica
Antarc*
Antarctica
ice core
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
Description
Summary: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.

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