Modeling of frequency-domain scalar wave equation with the average-derivative optimal scheme based on a multigrid-preconditioned iterative solver
文献类型：期刊论文
| 作者 | Cao, Jian1; Chen, Jing-Bo; Dai, Meng-Xue |
| 刊名 | JOURNAL OF APPLIED GEOPHYSICS
 |
| 出版日期 | 2018 |
| 卷号 | 148页码:70-82 |
| 关键词 | Bi-CGSTAB Multigrid method Average-derivative optimal scheme Local mode analysis Fourier spectral analysis |
| ISSN号 | 0926-9851 |
| DOI | 10.1016/j.jappgeo.2017.10.006 |
| 文献子类 | Article |
| 英文摘要 | An efficient finite-difference frequency-domain modeling of seismic wave propagation relies on the discrete schemes and appropriate solving methods. The average-derivative optimal scheme for the scalar wave modeling is advantageous in terms of the storage saving for the system of linear equations and the flexibility for arbitrary directional sampling intervals. However, using a LU-decomposition-based direct solver to solve its resulting system of linear equations is very costly for both memory and computational requirements. To address this issue, we consider establishing a multigrid-preconditioned BI-CGSTAB iterative solver fit for the average-derivative optimal scheme. The choice of preconditioning matrix and its corresponding multigrid components is made with the help of Fourier spectral analysis and local mode analysis, respectively, which is important for the convergence. Furthermore, we find that for the computation with unequal directional sampling interval, the anisotropic smoothing in the multigrid precondition may affect the convergence rate of this iterative solver. Successful numerical applications of this iterative solver for the homogenous and heterogeneous models in 2D and 3D are presented where the significant reduction of computer memory and the improvement of computational efficiency are demonstrated by comparison with the direct solver. In the numerical experiments, we also show that the unequal directional sampling interval will weaken the advantage of this multigrid-preconditioned iterative solver in the computing speed or, even worse, could reduce its accuracy in some cases, which implies the need for a reasonable control of directional sampling interval in the discretization. (C) 2017 Elsevier B.V All rights reserved. |
| WOS关键词 | FINITE-DIFFERENCE ; HELMHOLTZ-EQUATION ; PROPAGATION ; EXTRAPOLATOR ; ACCURACY ; SPACE ; LAYER |
| WOS研究方向 | Geology ; Mining & Mineral Processing |
| 语种 | 英语 |
| WOS记录号 | WOS:000424171900008 |
| 出版者 | ELSEVIER SCIENCE BV |
| 资助机构 | National Natural Science Foundation of China(41474104 ; National Natural Science Foundation of China(41474104 ; 41674132) ; 41674132) ; National Natural Science Foundation of China(41474104 ; National Natural Science Foundation of China(41474104 ; 41674132) ; 41674132) ; National Natural Science Foundation of China(41474104 ; National Natural Science Foundation of China(41474104 ; 41674132) ; 41674132) ; National Natural Science Foundation of China(41474104 ; National Natural Science Foundation of China(41474104 ; 41674132) ; 41674132) |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/82670]  |
| 专题 | 中国科学院地质与地球物理研究所 |
| 通讯作者 | Cao, Jian |
| 作者单位 | 1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resource Res, Beijing 100029, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Jian,Chen, Jing-Bo,Dai, Meng-Xue. Modeling of frequency-domain scalar wave equation with the average-derivative optimal scheme based on a multigrid-preconditioned iterative solver[J]. JOURNAL OF APPLIED GEOPHYSICS,2018,148:70-82. |
| APA | Cao, Jian,Chen, Jing-Bo,&Dai, Meng-Xue.(2018).Modeling of frequency-domain scalar wave equation with the average-derivative optimal scheme based on a multigrid-preconditioned iterative solver.JOURNAL OF APPLIED GEOPHYSICS,148,70-82. |
| MLA | Cao, Jian,et al."Modeling of frequency-domain scalar wave equation with the average-derivative optimal scheme based on a multigrid-preconditioned iterative solver".JOURNAL OF APPLIED GEOPHYSICS 148(2018):70-82. |
入库方式： OAI收割
来源：地质与地球物理研究所
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