@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",
}