A staggered-grid convolutional differentiator for elastic wave modelling
文献类型：期刊论文
| 作者 | Sun, Weijia1; Zhou, Binzhong2; Fu, Li-Yun3 |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2015-11-15 |
| 卷号 | 301页码:59-76 |
| 关键词 | Staggered-grid Convolutional differentiator Elastic wave Forward modelling |
| DOI | 10.1016/j.jcp.2015.08.017 |
| 文献子类 | Article |
| 英文摘要 | The computation of derivatives in governing partial differential equations is one of the most investigated subjects in the numerical simulation of physical wave propagation. An analytical staggered-grid convolutional differentiator (CD) for first-order velocity-stress elastic wave equations is derived in this paper by inverse Fourier transformation of the band-limited spectrum of a first derivative operator. A taper window function is used to truncate the infinite staggered-grid CD stencil. The truncated CD operator is almost as accurate as the analytical solution, and as efficient as the finite-difference (FD) method. The selection of window functions will influence the accuracy of the CD operator in wave simulation. We search for the optimal Gaussian windows for different order CDs by minimizing the spectral error of the derivative and comparing the windows with the normal Hanning window function for tapering the CD operators. It is found that the optimal Gaussian window appears to be similar to the Hanning window function for tapering the same CD operator. We investigate the accuracy of the windowed CD operator and the staggered-grid FD method with different orders. Compared to the conventional staggered-grid FD method, a short staggered-grid CD operator achieves an accuracy equivalent to that of a long FD operator, with lower computational costs. For example, an 8th order staggered-grid CD operator can achieve the same accuracy of a 16th order staggered-grid FD algorithm but with half of the computational resources and time required. Numerical examples from a homogeneous model and a crustal waveguide model are used to illustrate the superiority of the CD operators over the conventional staggeredgrid FD operators for the simulation of wave propagations. (C) 2015 Elsevier Inc. All rights reserved. |
| WOS关键词 | PIECEWISE HETEROGENEOUS MEDIA ; SPECTRAL ELEMENT METHOD ; FINITE-DIFFERENCE ; PSEUDOSPECTRAL METHOD ; FOURIER METHOD ; SYNTHETIC SEISMOGRAMS ; BOUNDARY-CONDITIONS ; PROPAGATION ; EQUATION ; SIMULATION |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000362379300004 |
| 资助机构 | National Natural Science Foundation of China(41474105) ; National Natural Science Foundation of China(41474105) ; National Key Basic Research Program of China(2015CB258500) ; National Key Basic Research Program of China(2015CB258500) ; CSIRO Energy ; CSIRO Energy ; Australian Coal Association Research Program (ACARP) Grant(C22016) ; Australian Coal Association Research Program (ACARP) Grant(C22016) ; National Natural Science Foundation of China(41474105) ; National Natural Science Foundation of China(41474105) ; National Key Basic Research Program of China(2015CB258500) ; National Key Basic Research Program of China(2015CB258500) ; CSIRO Energy ; CSIRO Energy ; Australian Coal Association Research Program (ACARP) Grant(C22016) ; Australian Coal Association Research Program (ACARP) Grant(C22016) |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/62207]  |
| 专题 | 地质与地球物理研究所_中国科学院地球与行星物理重点实验室 |
| 作者单位 | 1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing 10029, Peoples R China 2.CSIRO Energy, Kenmore, Qld 4069, Australia 3.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources, Beijing 100029, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Weijia,Zhou, Binzhong,Fu, Li-Yun. A staggered-grid convolutional differentiator for elastic wave modelling[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2015,301:59-76. |
| APA | Sun, Weijia,Zhou, Binzhong,&Fu, Li-Yun.(2015).A staggered-grid convolutional differentiator for elastic wave modelling.JOURNAL OF COMPUTATIONAL PHYSICS,301,59-76. |
| MLA | Sun, Weijia,et al."A staggered-grid convolutional differentiator for elastic wave modelling".JOURNAL OF COMPUTATIONAL PHYSICS 301(2015):59-76. |
入库方式： OAI收割
来源：地质与地球物理研究所
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