基于Metropolis采样算法的非线性反演

Q2 Earth and Planetary Sciences
Baoli Wang, R. Sun, Xingyao Yin, Guangzhi Zhang
{"title":"基于Metropolis采样算法的非线性反演","authors":"Baoli Wang, R. Sun, Xingyao Yin, Guangzhi Zhang","doi":"10.13810/J.CNKI.ISSN.1000-7210.2015.01.017","DOIUrl":null,"url":null,"abstract":"Nonlinear inversion based on Metropolis sampling algorithm is formulated in the Bayesian framework. As one kind of Monte Carl non-linear inversions, it can effectively integrate high frequency information of well logging data, and obtain inversion results with a higher resolution. Firstly, we get the priori information through fast Fourier transform moving average (FFT-MA) and gradual deformation method (GDM). Second, we structure likelihood function. Then we apply Metropolis algorithm in order to obtain an exhaustive characterization of the posteriori probability density. FFT-MA is a kind of efficient simulation method. Combined with GDM, it can constantly modify reservoir model and keep the spatial structure unchanged until it matches the observed seismic data. According to the model trial and real data processing, we can conclude that nonlinear inversion based on Metropolis sampling algorithm provide reasonable elastic parameter information, especially it improves the resolution of P-wave velocity. Even when the signal noise ratio (SNR) is relatively low, it can still show reasonable elastic parameter information, which proves the effectiveness of the proposed method. The inversion resolution of P-wave and S-wave impedances is higher than elastic parameters inversion if we do not consider the noise. ©, 2015, Science Press. All right reserved.","PeriodicalId":35768,"journal":{"name":"石油地球物理勘探","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear inversion based on Metropolis sampling algorithm\",\"authors\":\"Baoli Wang, R. Sun, Xingyao Yin, Guangzhi Zhang\",\"doi\":\"10.13810/J.CNKI.ISSN.1000-7210.2015.01.017\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Nonlinear inversion based on Metropolis sampling algorithm is formulated in the Bayesian framework. As one kind of Monte Carl non-linear inversions, it can effectively integrate high frequency information of well logging data, and obtain inversion results with a higher resolution. Firstly, we get the priori information through fast Fourier transform moving average (FFT-MA) and gradual deformation method (GDM). Second, we structure likelihood function. Then we apply Metropolis algorithm in order to obtain an exhaustive characterization of the posteriori probability density. FFT-MA is a kind of efficient simulation method. Combined with GDM, it can constantly modify reservoir model and keep the spatial structure unchanged until it matches the observed seismic data. According to the model trial and real data processing, we can conclude that nonlinear inversion based on Metropolis sampling algorithm provide reasonable elastic parameter information, especially it improves the resolution of P-wave velocity. Even when the signal noise ratio (SNR) is relatively low, it can still show reasonable elastic parameter information, which proves the effectiveness of the proposed method. The inversion resolution of P-wave and S-wave impedances is higher than elastic parameters inversion if we do not consider the noise. ©, 2015, Science Press. All right reserved.\",\"PeriodicalId\":35768,\"journal\":{\"name\":\"石油地球物理勘探\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"石油地球物理勘探\",\"FirstCategoryId\":\"1087\",\"ListUrlMain\":\"https://doi.org/10.13810/J.CNKI.ISSN.1000-7210.2015.01.017\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Earth and Planetary Sciences\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"石油地球物理勘探","FirstCategoryId":"1087","ListUrlMain":"https://doi.org/10.13810/J.CNKI.ISSN.1000-7210.2015.01.017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Earth and Planetary Sciences","Score":null,"Total":0}
引用次数: 0

摘要

在贝叶斯框架下,提出了基于Metropolis采样算法的非线性反演方法。作为蒙特卡罗非线性反演的一种,它可以有效地整合测井资料的高频信息,获得更高分辨率的反演结果。首先,通过快速傅里叶变换移动平均法(FFT-MA)和渐进变形法(GDM)获得先验信息;其次,构造似然函数。然后应用Metropolis算法得到后验概率密度的详尽表征。FFT-MA是一种高效的仿真方法。与GDM相结合,可以不断修正储层模型,保持储层空间结构不变,直至与地震观测资料相匹配。通过模型试验和实际数据处理,得出Metropolis采样算法的非线性反演提供了合理的弹性参数信息,特别是提高了纵波速度的分辨率。即使在信噪比较低的情况下,仍能显示出合理的弹性参数信息,证明了所提方法的有效性。在不考虑噪声的情况下,纵波和横波阻抗反演的分辨率要高于弹性参数反演。©,2015,科学出版社。版权所有。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlinear inversion based on Metropolis sampling algorithm
Nonlinear inversion based on Metropolis sampling algorithm is formulated in the Bayesian framework. As one kind of Monte Carl non-linear inversions, it can effectively integrate high frequency information of well logging data, and obtain inversion results with a higher resolution. Firstly, we get the priori information through fast Fourier transform moving average (FFT-MA) and gradual deformation method (GDM). Second, we structure likelihood function. Then we apply Metropolis algorithm in order to obtain an exhaustive characterization of the posteriori probability density. FFT-MA is a kind of efficient simulation method. Combined with GDM, it can constantly modify reservoir model and keep the spatial structure unchanged until it matches the observed seismic data. According to the model trial and real data processing, we can conclude that nonlinear inversion based on Metropolis sampling algorithm provide reasonable elastic parameter information, especially it improves the resolution of P-wave velocity. Even when the signal noise ratio (SNR) is relatively low, it can still show reasonable elastic parameter information, which proves the effectiveness of the proposed method. The inversion resolution of P-wave and S-wave impedances is higher than elastic parameters inversion if we do not consider the noise. ©, 2015, Science Press. All right reserved.
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
石油地球物理勘探
石油地球物理勘探 Earth and Planetary Sciences-Geology
CiteScore
2.50
自引率
0.00%
发文量
7498
期刊介绍: Oil Geophysical Prospecting is aimed at domestic and foreign industries and units in the fields of teaching, scientific research and production of petroleum exploration, geo-mining, coalfield, computer numerical processing, etc. It disseminates technical information on physical exploration in a timely manner, promotes new technologies and experiences, promotes scientific and technological progress in the field of physical exploration, and adheres to the services of the socialist economic construction. It strives to combine improvement and popularization, give equal importance to theory and application, constantly enrich the content, expand the amount of information, and improve the quality of layout design, printing and binding.
×
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