用于频域有限差分弹性建模的改进型仿射混合网格法

IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS
Shu-Li Dong, Jing-Bo Chen
{"title":"用于频域有限差分弹性建模的改进型仿射混合网格法","authors":"Shu-Li Dong,&nbsp;Jing-Bo Chen","doi":"10.1111/1365-2478.13596","DOIUrl":null,"url":null,"abstract":"<p>In seismic frequency-domain finite-difference modelling, the affine mixed-grid method effectively eliminates the spatial sampling restriction associated with square meshes of the rotated mixed-grid method. Nevertheless, the affine mixed-grid method makes a weighted average of the entire elastic wave equations, resulting in reduced accuracy compared to the average-derivative method in the case of rectangular meshes. It is worth noting, however, that the average-derivative method is presently inapplicable to free-surface scenarios, whereas the affine mixed-grid method is applicable. By performing weighted averages of the derivative terms instead of the entire elastic wave equations in Cartesian and affine rotated coordinate systems, we have developed an improved affine mixed-grid method for elastic-wave frequency-domain finite-difference modelling. The proposed improved affine mixed-grid method 9-point scheme overcomes the drawback that the accuracy of affine mixed-grid method is lower than that of average-derivative method for unequal directional grid intervals. Moreover, the improved affine mixed-grid method 6-point scheme provides much higher numerical accuracy than the affine mixed-grid method 6-point scheme at either equal or unequal directional grid intervals. On the other hand, the proposed improved affine mixed-grid method simplifies the coding complexity for implementing free-surface condition in elastic-wave frequency-domain finite-difference modelling by modifying the elastic parameters of the free-surface layer and thus constructing the impedance matrix containing the free-surface condition directly.</p>","PeriodicalId":12793,"journal":{"name":"Geophysical Prospecting","volume":"72 9","pages":"3295-3315"},"PeriodicalIF":1.8000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An improved affine mixed-grid method for frequency-domain finite-difference elastic modelling\",\"authors\":\"Shu-Li Dong,&nbsp;Jing-Bo Chen\",\"doi\":\"10.1111/1365-2478.13596\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In seismic frequency-domain finite-difference modelling, the affine mixed-grid method effectively eliminates the spatial sampling restriction associated with square meshes of the rotated mixed-grid method. Nevertheless, the affine mixed-grid method makes a weighted average of the entire elastic wave equations, resulting in reduced accuracy compared to the average-derivative method in the case of rectangular meshes. It is worth noting, however, that the average-derivative method is presently inapplicable to free-surface scenarios, whereas the affine mixed-grid method is applicable. By performing weighted averages of the derivative terms instead of the entire elastic wave equations in Cartesian and affine rotated coordinate systems, we have developed an improved affine mixed-grid method for elastic-wave frequency-domain finite-difference modelling. The proposed improved affine mixed-grid method 9-point scheme overcomes the drawback that the accuracy of affine mixed-grid method is lower than that of average-derivative method for unequal directional grid intervals. Moreover, the improved affine mixed-grid method 6-point scheme provides much higher numerical accuracy than the affine mixed-grid method 6-point scheme at either equal or unequal directional grid intervals. On the other hand, the proposed improved affine mixed-grid method simplifies the coding complexity for implementing free-surface condition in elastic-wave frequency-domain finite-difference modelling by modifying the elastic parameters of the free-surface layer and thus constructing the impedance matrix containing the free-surface condition directly.</p>\",\"PeriodicalId\":12793,\"journal\":{\"name\":\"Geophysical Prospecting\",\"volume\":\"72 9\",\"pages\":\"3295-3315\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geophysical Prospecting\",\"FirstCategoryId\":\"89\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1111/1365-2478.13596\",\"RegionNum\":3,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"GEOCHEMISTRY & GEOPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geophysical Prospecting","FirstCategoryId":"89","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/1365-2478.13596","RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
引用次数: 0

摘要

在地震频域有限差分建模中,仿射混合网格法有效地消除了旋转混合网格法中与方形网格相关的空间采样限制。不过,仿射混合网格法是对整个弹性波方程进行加权平均,与矩形网格下的平均衍生法相比,精度有所降低。但值得注意的是,平均导数法目前不适用于自由表面情况,而仿射混合网格法则适用。通过在直角坐标系和仿射旋转坐标系中对导数项进行加权平均,而不是对整个弹性波方程进行加权平均,我们开发出了一种用于弹性波频域有限差分建模的改进型仿射混合网格法。所提出的改进仿射混合网格法 9 点方案克服了仿射混合网格法在不等方向网格间隔时精度低于平均衍生法的缺点。此外,改进的仿射混合网格法 6 点方案在相等或不相等方向网格间隔时都比仿射混合网格法 6 点方案具有更高的数值精度。另一方面,所提出的改进仿射混合网格法通过修改自由表面层的弹性参数,从而直接构建包含自由表面条件的阻抗矩阵,简化了在弹性波频域有限差分建模中实施自由表面条件的编码复杂性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An improved affine mixed-grid method for frequency-domain finite-difference elastic modelling

In seismic frequency-domain finite-difference modelling, the affine mixed-grid method effectively eliminates the spatial sampling restriction associated with square meshes of the rotated mixed-grid method. Nevertheless, the affine mixed-grid method makes a weighted average of the entire elastic wave equations, resulting in reduced accuracy compared to the average-derivative method in the case of rectangular meshes. It is worth noting, however, that the average-derivative method is presently inapplicable to free-surface scenarios, whereas the affine mixed-grid method is applicable. By performing weighted averages of the derivative terms instead of the entire elastic wave equations in Cartesian and affine rotated coordinate systems, we have developed an improved affine mixed-grid method for elastic-wave frequency-domain finite-difference modelling. The proposed improved affine mixed-grid method 9-point scheme overcomes the drawback that the accuracy of affine mixed-grid method is lower than that of average-derivative method for unequal directional grid intervals. Moreover, the improved affine mixed-grid method 6-point scheme provides much higher numerical accuracy than the affine mixed-grid method 6-point scheme at either equal or unequal directional grid intervals. On the other hand, the proposed improved affine mixed-grid method simplifies the coding complexity for implementing free-surface condition in elastic-wave frequency-domain finite-difference modelling by modifying the elastic parameters of the free-surface layer and thus constructing the impedance matrix containing the free-surface condition directly.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Geophysical Prospecting
Geophysical Prospecting 地学-地球化学与地球物理
CiteScore
4.90
自引率
11.50%
发文量
118
审稿时长
4.5 months
期刊介绍: Geophysical Prospecting publishes the best in primary research on the science of geophysics as it applies to the exploration, evaluation and extraction of earth resources. Drawing heavily on contributions from researchers in the oil and mineral exploration industries, the journal has a very practical slant. Although the journal provides a valuable forum for communication among workers in these fields, it is also ideally suited to researchers in academic geophysics.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信