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Large-scale simulation of acoustic waves in random multiscale media. / Soboleva, Olga N.; Kurochkina, Ekaterina P.

Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. ed. / J Pilz; D Rasch; VB Melas; K Moder. Vol. 231 Springer New York LLC, 2018. p. 85-97 (Springer Proceedings in Mathematics & Statistics; Vol. 231).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Soboleva, ON & Kurochkina, EP 2018, Large-scale simulation of acoustic waves in random multiscale media. in J Pilz, D Rasch, VB Melas & K Moder (eds), Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. vol. 231, Springer Proceedings in Mathematics & Statistics, vol. 231, Springer New York LLC, pp. 85-97, 8th International Workshop on Simulation, IWS 2015, Vienna, Austria, 20.09.2015. https://doi.org/10.1007/978-3-319-76035-3_6

APA

Soboleva, O. N., & Kurochkina, E. P. (2018). Large-scale simulation of acoustic waves in random multiscale media. In J. Pilz, D. Rasch, VB. Melas, & K. Moder (Eds.), Statistics and Simulation - IWS 8, Vienna, Austria, September 2015 (Vol. 231, pp. 85-97). (Springer Proceedings in Mathematics & Statistics; Vol. 231). Springer New York LLC. https://doi.org/10.1007/978-3-319-76035-3_6

Vancouver

Soboleva ON, Kurochkina EP. Large-scale simulation of acoustic waves in random multiscale media. In Pilz J, Rasch D, Melas VB, Moder K, editors, Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. Vol. 231. Springer New York LLC. 2018. p. 85-97. (Springer Proceedings in Mathematics & Statistics). doi: 10.1007/978-3-319-76035-3_6

Author

Soboleva, Olga N. ; Kurochkina, Ekaterina P. / Large-scale simulation of acoustic waves in random multiscale media. Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. editor / J Pilz ; D Rasch ; VB Melas ; K Moder. Vol. 231 Springer New York LLC, 2018. pp. 85-97 (Springer Proceedings in Mathematics & Statistics).

BibTeX

@inproceedings{eda68a70501e439796b87b5268ef04d4,
title = "Large-scale simulation of acoustic waves in random multiscale media",
abstract = "The effective coefficients in the problem of the acoustic wave propagation have been calculated for a multiscale 3D medium by using a subgrid modeling approach. The density and the elastic stiffness have been represented by the Kolmogorov multiplicative cascades with a log-normal probability distribution. The wavelength is assumed to be large as compared with the scale of heterogeneities of the medium. We consider the regime in which the waves propagate over a distance of the typical wavelength in source. If a medium is assumed to satisfy the improved Kolmogorov similarity hypothesis, the term for the effective coefficient of the elastic stiffness coincides with the Landau-Lifshitz-Matheron formula. The theoretical results are compared with the results of a direct 3D numerical simulation.",
keywords = "Multiplicative cascades, Propagation of acoustic waves, Subgrid modeling",
author = "Soboleva, {Olga N.} and Kurochkina, {Ekaterina P.}",
year = "2018",
month = jan,
day = "1",
doi = "10.1007/978-3-319-76035-3_6",
language = "English",
isbn = "9783319760346",
volume = "231",
series = "Springer Proceedings in Mathematics & Statistics",
publisher = "Springer New York LLC",
pages = "85--97",
editor = "J Pilz and D Rasch and VB Melas and K Moder",
booktitle = "Statistics and Simulation - IWS 8, Vienna, Austria, September 2015",
address = "United States",
note = "8th International Workshop on Simulation, IWS 2015 ; Conference date: 20-09-2015 Through 24-09-2015",

}

RIS

TY - GEN

T1 - Large-scale simulation of acoustic waves in random multiscale media

AU - Soboleva, Olga N.

AU - Kurochkina, Ekaterina P.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The effective coefficients in the problem of the acoustic wave propagation have been calculated for a multiscale 3D medium by using a subgrid modeling approach. The density and the elastic stiffness have been represented by the Kolmogorov multiplicative cascades with a log-normal probability distribution. The wavelength is assumed to be large as compared with the scale of heterogeneities of the medium. We consider the regime in which the waves propagate over a distance of the typical wavelength in source. If a medium is assumed to satisfy the improved Kolmogorov similarity hypothesis, the term for the effective coefficient of the elastic stiffness coincides with the Landau-Lifshitz-Matheron formula. The theoretical results are compared with the results of a direct 3D numerical simulation.

AB - The effective coefficients in the problem of the acoustic wave propagation have been calculated for a multiscale 3D medium by using a subgrid modeling approach. The density and the elastic stiffness have been represented by the Kolmogorov multiplicative cascades with a log-normal probability distribution. The wavelength is assumed to be large as compared with the scale of heterogeneities of the medium. We consider the regime in which the waves propagate over a distance of the typical wavelength in source. If a medium is assumed to satisfy the improved Kolmogorov similarity hypothesis, the term for the effective coefficient of the elastic stiffness coincides with the Landau-Lifshitz-Matheron formula. The theoretical results are compared with the results of a direct 3D numerical simulation.

KW - Multiplicative cascades

KW - Propagation of acoustic waves

KW - Subgrid modeling

UR - http://www.scopus.com/inward/record.url?scp=85047894976&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-76035-3_6

DO - 10.1007/978-3-319-76035-3_6

M3 - Conference contribution

AN - SCOPUS:85047894976

SN - 9783319760346

VL - 231

T3 - Springer Proceedings in Mathematics & Statistics

SP - 85

EP - 97

BT - Statistics and Simulation - IWS 8, Vienna, Austria, September 2015

A2 - Pilz, J

A2 - Rasch, D

A2 - Melas, VB

A2 - Moder, K

PB - Springer New York LLC

T2 - 8th International Workshop on Simulation, IWS 2015

Y2 - 20 September 2015 through 24 September 2015

ER -

ID: 13754333