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
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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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