反平面声波在多尺度介质中传播的参数对数正态分布建模

Q1 Mathematics Journal of Computational Acoustics Pub Date : 2017-03-28 DOI:10.1142/S0218396X17500072

O. Soboleva

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引用次数: 1

摘要

利用子网格建模方法得到了声波在多重分形弹性介质中传播问题的有效系数。与波长相比，所讨论的介质的不均匀性的最大尺度被假设为较小。如果假设各向同性介质满足改进的Kolmogorov相似性假设，则弹性刚度的有效系数项与Landau–Lifshitz–Matheron公式一致。同时考虑各向同性和各向异性介质。对在一定距离上传播的波的数值测试表明了所提出方法的有效性，该距离与源的典型波长具有相同的阶数。

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

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.

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来源期刊

Journal of Computational Acoustics 物理-声学

CiteScore

3.90

自引率

0.00%

发文量

审稿时长

4.5 months

期刊介绍： Currently known as Journal of Theoretical and Computational Acoustics (JTCA).The aim of this journal is to provide an international forum for the dissemination of the state-of-the-art information in the field of Computational Acoustics. Topics covered by this journal include research and tutorial contributions in OCEAN ACOUSTICS (a subject of active research in relation with sonar detection and the design of noiseless ships), SEISMO-ACOUSTICS (of concern to earthquake science and engineering, and also to those doing underground prospection like searching for petroleum), AEROACOUSTICS (which includes the analysis of noise created by aircraft), COMPUTATIONAL METHODS, and SUPERCOMPUTING. In addition to the traditional issues and problems in computational methods, the journal also considers theoretical research acoustics papers which lead to large-scale scientific computations. The journal strives to be flexible in the type of high quality papers it publishes and their format. Equally desirable are Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational acoustics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research in which other than strictly computational arguments may be important in establishing a basis for further developments. Tutorial review papers, covering some of the important issues in Computational Mathematical Methods, Scientific Computing, and their applications. Short notes, which present specific new results and techniques in a brief communication. The journal will occasionally publish significant contributions which are larger than the usual format for regular papers. Special issues which report results of high quality workshops in related areas and monographs of significant contributions in the Series of Computational Acoustics will also be published.