Numerical study of elastic wave scattering by cracks or inclusions using the boundary integral equation method
Liu, ER; Zhang, ZJ
刊名JOURNAL OF COMPUTATIONAL ACOUSTICS
2001-09-01
卷号9期号:3页码:1039-1054
ISSN号0218-396X
文献子类Article
英文摘要In this paper, we use a 2-D elastodynamic boundary integral equation or boundary element method (BEM) to solve multiple scattering problems due to existence of cracks or inclusions. The method is based on the integral representation of a scattered wavefield by assuming a fictitious source distribution on the scattering objects or inclusions (i.e. mathematical description of Huygens' principle), and the fictitious source distribution can be found by matching appropriate boundary conditions at the boundary of the inclusions. The method is called indirect boundary element method. Three numerical examples axe presented to demonstrate the versatility of the BEM method. The first example shows that different spatial arrangements of the same scatters lead to profound differences in scattering characteristics, in particular the frequency contents of the transmitted wavefields using the method of time-frequency analysis. The second example shows the effects of power-law or fractal distribution of scalelengths on transmitted wavefields, and we conclude that frequency characteristics, such as the frequency of the peak attenuation, can be related to spatial size parameters of the model. In the third example, we show that orientated inclusions with aspect ratio less than unity have strong effects on the amplitudes of transmitted waves, and this has an important implication in characterizing inclusions and fractures using azimuthal variation in amplitudes (or attenuation anisotropy).
WOS关键词SEISMIC-WAVES ; RAYLEIGH-WAVES ; RANDOM-MEDIA ; DIFFRACTION ; ATTENUATION ; RADIATION ; ROCK ; SV
WOS研究方向Acoustics ; Mathematics
语种英语
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号WOS:000172285600026
内容类型期刊论文
源URL[http://ir.iggcas.ac.cn/handle/132A11/76923]  
专题中国科学院地质与地球物理研究所
通讯作者Liu, ER
作者单位1.British Geol Survey, Edinburgh EH9 3LA, Midlothian, Scotland
2.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100101, Peoples R China
推荐引用方式
GB/T 7714
Liu, ER,Zhang, ZJ. Numerical study of elastic wave scattering by cracks or inclusions using the boundary integral equation method[J]. JOURNAL OF COMPUTATIONAL ACOUSTICS,2001,9(3):1039-1054.
APA Liu, ER,&Zhang, ZJ.(2001).Numerical study of elastic wave scattering by cracks or inclusions using the boundary integral equation method.JOURNAL OF COMPUTATIONAL ACOUSTICS,9(3),1039-1054.
MLA Liu, ER,et al."Numerical study of elastic wave scattering by cracks or inclusions using the boundary integral equation method".JOURNAL OF COMPUTATIONAL ACOUSTICS 9.3(2001):1039-1054.
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