Optimal staggered-grid finite-difference schemes bycombining Taylor-series expansion and sampling approximation for wave equation modeling
文献类型：期刊论文
| 作者 | Yan, Hongyong1,2; Yang, Lei1,3; Li, Xiang-Yang2 |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2016-12-01 |
| 卷号 | 326页码:913-930 |
| 关键词 | Staggered-grid finite-difference Numerical modeling Numerical solutions Wave equation Dispersion relation Numerical accuracy |
| DOI | 10.1016/j.jcp.2016.09.019 |
| 文献子类 | Article |
| 英文摘要 | High-order staggered-grid finite-difference (SFD) schemes have been universally used to improve the accuracy of wave equation modeling. However, the high-order SFD coefficients on spatial derivatives are usually determined by the Taylor-series expansion (TE) method, which just leads to great accuracy at small wavenumbers for wave equation modeling. Some conventional optimization methods can achieve high accuracy at large wavenumbers, but they hardly guarantee the small numerical dispersion error at small wavenumbers. In this paper, we develop new optimal explicit SFD (ESFD) and implicit SFD (ISFD) schemes for wave equation modeling. We first derive the optimal ESFD and ISFD coefficients for the first-order spatial derivatives by applying the combination of the TE and the sampling approximation to the dispersion relation, and then analyze their numerical accuracy. Finally, we perform elastic wave modeling with the ESFD and ISFD schemes based on the TE method and the optimal method, respectively. When the appropriate number and interval for the sampling points are chosen, these optimal schemes have extremely high accuracy at small wavenumbers, and can also guarantee small numerical dispersion error at large wavenumbers. Numerical accuracy analyses and modeling results demonstrate the optimal ESFD and ISFD schemes can efficiently suppress the numerical dispersion and significantly improve the modeling accuracy compared to the TE-based ESFD and ISFD schemes. (C) 2016 Elsevier Inc. All rights reserved. |
| WOS关键词 | TIME-SPACE DOMAIN ; HELMHOLTZ-EQUATION ; HETEROGENEOUS MEDIA ; ORDER ACCURACY ; LEAST-SQUARES ; PROPAGATION ; DISPERSION ; RESOLUTION ; IMPLICIT ; 2D |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000386067400047 |
| 资助机构 | National Natural Science Foundation of China(41404112) ; National Natural Science Foundation of China(41404112) ; International Postdoctoral Exchange Fellowship Program (the Office of China Postdoctoral Council)(20140047) ; International Postdoctoral Exchange Fellowship Program (the Office of China Postdoctoral Council)(20140047) ; Elastic Seismic Imaging Project (CNPC) ; Elastic Seismic Imaging Project (CNPC) ; Edinburgh Anisotropy Project (EAP) of the British Geological Survey ; Edinburgh Anisotropy Project (EAP) of the British Geological Survey ; National Natural Science Foundation of China(41404112) ; National Natural Science Foundation of China(41404112) ; International Postdoctoral Exchange Fellowship Program (the Office of China Postdoctoral Council)(20140047) ; International Postdoctoral Exchange Fellowship Program (the Office of China Postdoctoral Council)(20140047) ; Elastic Seismic Imaging Project (CNPC) ; Elastic Seismic Imaging Project (CNPC) ; Edinburgh Anisotropy Project (EAP) of the British Geological Survey ; Edinburgh Anisotropy Project (EAP) of the British Geological Survey |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/53298]  |
| 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 |
| 作者单位 | 1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China 2.British Geol Survey, Lyell Ctr, Res Ave South, Edinburgh EH14 4AP, Midlothian, Scotland 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Hongyong,Yang, Lei,Li, Xiang-Yang. Optimal staggered-grid finite-difference schemes bycombining Taylor-series expansion and sampling approximation for wave equation modeling[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2016,326:913-930. |
| APA | Yan, Hongyong,Yang, Lei,&Li, Xiang-Yang.(2016).Optimal staggered-grid finite-difference schemes bycombining Taylor-series expansion and sampling approximation for wave equation modeling.JOURNAL OF COMPUTATIONAL PHYSICS,326,913-930. |
| MLA | Yan, Hongyong,et al."Optimal staggered-grid finite-difference schemes bycombining Taylor-series expansion and sampling approximation for wave equation modeling".JOURNAL OF COMPUTATIONAL PHYSICS 326(2016):913-930. |
入库方式： OAI收割
来源：地质与地球物理研究所
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