Modeling of Propagation of Antiplane Acoustic Waves in Multiscale Media with Lognormal Distribution of Parameters

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Modeling of Propagation of Antiplane Acoustic Waves in Multiscale Media with Lognormal Distribution of Parameters. / Soboleva, Olga.

в: Journal of Computational Acoustics, Том 25, № 1, 1750007, 01.03.2017.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{2ff60b67e3a947009452cdccfc3ac6a7,

title = "Modeling of Propagation of Antiplane Acoustic Waves in Multiscale Media with Lognormal Distribution of Parameters",

abstract = "The effective coefficients for the problem of propagation of acoustic waves in multifractal elastic media using the subgrid modeling approach are obtained. The maximum scale of heterogeneities of the medium in question is assumed to be small as compared with the wavelength. If a isotropic 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. Both isotropic and anisotropic media are considered. The numerical testing for the wave propagating at a distance, which is of the same order as a typical wavelength of a source, illustrates the efficiency of the approach proposed.",

keywords = "multiplicative cascades, Propagation of acoustic waves, subgrid modeling, CASCADES, EQUATION",

author = "Olga Soboleva",

year = "2017",

month = mar,

day = "1",

doi = "10.1142/S0218396X17500072",

language = "English",

volume = "25",

journal = "Journal of Computational Acoustics",

issn = "0218-396X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

RIS

TY - JOUR

T1 - Modeling of Propagation of Antiplane Acoustic Waves in Multiscale Media with Lognormal Distribution of Parameters

AU - Soboleva, Olga

PY - 2017/3/1

Y1 - 2017/3/1

N2 - The effective coefficients for the problem of propagation of acoustic waves in multifractal elastic media using the subgrid modeling approach are obtained. The maximum scale of heterogeneities of the medium in question is assumed to be small as compared with the wavelength. If a isotropic 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. Both isotropic and anisotropic media are considered. The numerical testing for the wave propagating at a distance, which is of the same order as a typical wavelength of a source, illustrates the efficiency of the approach proposed.

AB - The effective coefficients for the problem of propagation of acoustic waves in multifractal elastic media using the subgrid modeling approach are obtained. The maximum scale of heterogeneities of the medium in question is assumed to be small as compared with the wavelength. If a isotropic 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. Both isotropic and anisotropic media are considered. The numerical testing for the wave propagating at a distance, which is of the same order as a typical wavelength of a source, illustrates the efficiency of the approach proposed.

KW - multiplicative cascades

KW - Propagation of acoustic waves

KW - subgrid modeling

KW - CASCADES

KW - EQUATION

UR - http://www.scopus.com/inward/record.url?scp=85000956189&partnerID=8YFLogxK

U2 - 10.1142/S0218396X17500072

DO - 10.1142/S0218396X17500072

M3 - Article

AN - SCOPUS:85000956189

VL - 25

JO - Journal of Computational Acoustics

JF - Journal of Computational Acoustics

SN - 0218-396X

IS - 1

M1 - 1750007

ER -

ID: 10320003