Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

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.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 478, No. 2268, 20220574, 21.12.2022.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Rathmann, NMM, Grinsted, A, Mosegaard, K, Lilien, DAA, Westhoff, J, Hvidberg, CSS, Prior, DJJ, Lutz, F, Thomas, REE & 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

APA

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, 478(2268), [20220574]. https://doi.org/10.1098/rspa.2022.0574

Vancouver

Rathmann NMM, Grinsted A, Mosegaard K, Lilien DAA, Westhoff J, Hvidberg CSS et al. Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2022 Dec 21;478(2268). 20220574. https://doi.org/10.1098/rspa.2022.0574

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. / Elastic wave propagation in anisotropic polycrystals : inferring physical properties of glacier ice. In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2022 ; Vol. 478, No. 2268.

Bibtex

@article{4baace4cb46c48d2bfaaf2ef24491dc3,
title = "Elastic wave propagation in anisotropic polycrystals: inferring physical properties of glacier ice",
abstract = "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.",
keywords = "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",
author = "Rathmann, {Nicholas M. M.} and Aslak Grinsted and Klaus Mosegaard and Lilien, {David A. A.} and Julien Westhoff and Hvidberg, {Christine S. S.} and Prior, {David J. J.} and Franz Lutz and Thomas, {Rilee E. E.} and Dorthe Dahl-Jensen",
year = "2022",
month = dec,
day = "21",
doi = "10.1098/rspa.2022.0574",
language = "English",
volume = "478",
journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences",
issn = "1364-5021",
publisher = "The/Royal Society",
number = "2268",

}

RIS

TY - JOUR

T1 - Elastic wave propagation in anisotropic polycrystals

T2 - inferring physical properties of glacier ice

AU - Rathmann, Nicholas M. M.

AU - Grinsted, Aslak

AU - Mosegaard, Klaus

AU - Lilien, David A. A.

AU - Westhoff, Julien

AU - Hvidberg, Christine S. S.

AU - Prior, David J. J.

AU - Lutz, Franz

AU - Thomas, Rilee E. E.

AU - Dahl-Jensen, Dorthe

PY - 2022/12/21

Y1 - 2022/12/21

N2 - 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.

AB - 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.

KW - elastic wave propagation

KW - polycrystals

KW - composites

KW - effective properties

KW - ice

KW - CRYSTALLOGRAPHIC PREFERRED ORIENTATIONS

KW - GRAIN-BOUNDARY COMPLIANCE

KW - SEISMIC ANISOTROPY

KW - CRYSTAL-ORIENTATION

KW - WEST ANTARCTICA

KW - UPPER-MANTLE

KW - SINGLE-CRYSTALS

KW - SHEAR MARGIN

KW - VELOCITY

KW - TEXTURE

U2 - 10.1098/rspa.2022.0574

DO - 10.1098/rspa.2022.0574

M3 - Journal article

VL - 478

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

SN - 1364-5021

IS - 2268

M1 - 20220574

ER -

ID: 329224380