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Reducing error accumulation of optimized finite-difference scheme using the minimum norm

文献类型：期刊论文

作者Miao, Zhongzheng2; Zhang, Jinhai1,2
刊名GEOPHYSICS
出版日期2020-09-01
卷号85期号:5页码:T275-T291
ISSN号0016-8033
DOI10.1190/GEO2019-0758.1
英文摘要The finite-difference (FD) scheme is popular in the field of seismic exploration for numerical simulation of wave propagation; however, its accuracy and computational efficiency are restricted by the numerical dispersion caused by numerical discretization of spatial partial derivatives using coarse grids. The constant-coefficient optimization method is used widely for suppressing the numerical dispersion by tuning the FD weights. Although gaining a wider effective bandwidth under a given error tolerance, this method undoubtedly encounters larger errors at low wavenumbers and accumulates significant errors. We have developed an approach to reduce the error accumulation. First, we construct an objective function based on the L-1 norm, which can constrain the total error better than the L-2 and L-infinity norms. Second, we translated our objective function into a constrained L-1-norm minimization model, which can be solved by the alternating direction method of multipliers. Finally, we perform theoretical analyses and numerical experiments to illustrate the accuracy improvement. The proposed method is shown to be superior to the existing constant-coefficient optimization methods at the low-wave number region; thus, we can obtain higher accuracy with less error accumulation, particularly at longer simulation times. The widely used objective functions, defined by the L-2 and L-infinity norms, could handle a relatively wider range of accurate wave-numbers, compared with our objective function defined by the L-1 norm, but their actual errors would be much larger than the given error tolerance at some azimuths rather than axis directions (e.g., about twice at 45 degrees), which greatly degrade the overall numerical accuracy. In contrast, our scheme can obtain a relatively even 2D error distribution at various azimuths, with an apparently smaller error. The peak error of the proposed method is only 40%-65% that of the L-2 norm under the same error tolerance, or only 60%-80% that of the L-2 norm under the same effective bandwidth.
WOS关键词TIME-SPACE-DOMAIN ; WAVE PROPAGATION ; HETEROGENEOUS MEDIA ; DISPERSION ; ORDER ; 4TH-ORDER ; STABILITY ; ACCURACY ; EQUATION ; VELOCITY
资助项目Strategic Pioneer Program on Space Science, Chinese Academy of Sciences[XDA15011700] ; National Major Project of China[2017ZX05008-007]
WOS研究方向Geochemistry & Geophysics
语种英语
WOS记录号WOS:000588496500050
出版者SOC EXPLORATION GEOPHYSICISTS
资助机构Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China
源URL[http://ir.iggcas.ac.cn/handle/132A11/99854]  
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
通讯作者Miao, Zhongzheng
作者单位1.Chinese Acad Sci, Innovat Acad Earth Sci, Beijing 100029, Peoples R China
2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing 100029, Peoples R China
推荐引用方式
GB/T 7714		 Miao, Zhongzheng,Zhang, Jinhai. Reducing error accumulation of optimized finite-difference scheme using the minimum norm[J]. GEOPHYSICS,2020,85(5):T275-T291.
APA Miao, Zhongzheng,&Zhang, Jinhai.(2020).Reducing error accumulation of optimized finite-difference scheme using the minimum norm.GEOPHYSICS,85(5),T275-T291.
MLA Miao, Zhongzheng,et al."Reducing error accumulation of optimized finite-difference scheme using the minimum norm".GEOPHYSICS 85.5(2020):T275-T291.

入库方式： OAI收割

来源：地质与地球物理研究所

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