Numerical modelling for elastic wave equations based on the second-order strain gradient theory
文献类型：期刊论文
| 作者 | Wang ZhiYang1,2,3; Li YouMing2,3,4; Chen ChaoPu1,2,3; Bai WenLei1,2,3 |
| 刊名 | CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
 |
| 出版日期 | 2021-07-01 |
| 卷号 | 64期号:7页码:2494-2503 |
| 关键词 | Asymmetric seismology Strain gradient theory Nonlocal theory Elastic wave equation Numerical modelling |
| ISSN号 | 0001-5733 |
| DOI | 10.6038/cjg2021O0362 |
| 英文摘要 | The existence of microstructure interactions results in the heterogeneity of the media, which leads to the new responses in seismic wave propagation. The heterogeneity caused by microstructure interactions can be generated and amplified when the temporal or spatial variations of the displacement field or rotating field are strong. By introducing the higher derivative of strain into the strain energy density function, the strain gradient theory can describe the heterogeneity of the media caused by the microstructure interactions. Due to the introduction of higher derivative, the strain gradient theory can describe the smaller-scale microstructural interactions, but a mass of computation and difficult interpretation in physical need to be faced. The single-parameter second-order strain gradient theory is regarded as a simplified version of the strain gradient theory, which consider the second-order strain gradient as an additional effect of the strain energy density functions. In this paper, the constitutive equations of the single-parameter second-order strain gradient theory has been investigated starting from the nonlocal theory, we can derive the mathematical expression of the asymmetric elastic wave equations by incorporating the geometric equations and the differential equations of motion. Then, we obtain the synthetic seismograms for the isotropic homogeneous model and Marmousi model using the asymmetric elastic wave equations. Comparing the synthetic seismograms generated by the conventional elastic wave equations with these generated by the asymmetric elastic wave equations, we study and analyze the law of influence on the seismograms when using the second-order strain gradient to describe the microstructure interactions and draw the following conclusions: (1) The displacement perturbation described by the asymmetric elastic wave equation based on the one-parameter second-order strain gradient theory has an influence on the propagation of P- and S-waves, and has a greater influence on the S-wave. (2) The smaller scale microstructure interactions of the medium can be reflected in the seismograms, and we need to consider the influence of the smaller scale microstructure interactions of the medium on the propagation of seismic waves. |
| WOS关键词 | MEDIA |
| WOS研究方向 | Geochemistry & Geophysics |
| 语种 | 英语 |
| WOS记录号 | WOS:000718142400022 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/103841]  |
| 专题 | 地质与地球物理研究所_中国科学院油气资源研究重点实验室 |
| 通讯作者 | Li YouMing |
| 作者单位 | 1.Beijing Univ Chem Technol, Coll Informat Sci & Technol, Beijing 100029, Peoples R China 2.Joint Res Grp Asymmetr Elast Wave Equat, Beijing 100029, Peoples R China 3.Joint Res Grp High Speed Rail Seismol, Beijing 100029, Peoples R China 4.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resource Res, Beijing 100029, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang ZhiYang,Li YouMing,Chen ChaoPu,et al. Numerical modelling for elastic wave equations based on the second-order strain gradient theory[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2021,64(7):2494-2503. |
| APA | Wang ZhiYang,Li YouMing,Chen ChaoPu,&Bai WenLei.(2021).Numerical modelling for elastic wave equations based on the second-order strain gradient theory.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,64(7),2494-2503. |
| MLA | Wang ZhiYang,et al."Numerical modelling for elastic wave equations based on the second-order strain gradient theory".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 64.7(2021):2494-2503. |
入库方式： OAI收割
来源：地质与地球物理研究所
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