胡勇^1,,
韩立国^1,,,
于江龙²,
陈瑞鼎¹
1. 吉林大学 地球探测科学与技术学院, 长春 130026
2. 中国石油新疆油田分公司勘探开发研究院, 新疆 克拉玛依 834000

基金项目: 国家自然科学基金项目（41674124），吉林大学研究生创新基金项目（2017041）资助


详细信息

作者简介: 胡勇, 男, 1992年生, 博士在读, 研究方向为全波形反演理论及其应用.E-mail:jluhuyong@sina.com

通讯作者: 韩立国, 男, 1961年生, 教授, 博士生导师, 主要从事地震数据处理解释工作.E-mail:hanliguo@jlu.edu.cn

中图分类号: P631

收稿日期:2017-07-09
修回日期:2017-12-29
上线日期:2018-07-05

Time-frequency domain multi-scale full waveform inversion based on adaptive non-stationary phase correction

HU Yong^1,,
HAN LiGuo^1,,,
YU JiangLong²,
CHEN RuiDing¹
1. College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China
2. Research Institute of Exploration and Development, Xinjiang Oilfield Company, PetroChina, Karamay, Xinjiang 834000, China


More Information

Corresponding author: HAN LiGuo,E-mail:hanliguo@jlu.edu.cn

MSC: P631

--> Received Date: 09 July 2017
Revised Date: 29 December 2017
Available Online: 05 July 2018


摘要
摘要:本文提出非稳态相位校正时频域目标函数，通过缩小观测数据与模拟数据在波形相位上的差异来缓解全波形反演过程中对应波形匹配错位的问题（周波跳跃）.同时引入自适应相位校正因子，可以根据观测数据与模拟数据的差异来调整相位校正量的大小.在构建非稳态相位校正时频域全波形反演目标函数的基础上，利用链式法则详细推导了对应的伴随震源，并从理论上证明了该方法的可行性与优越性.数值测试过程中结合了低通滤波多尺度反演策略，进一步缓解全波形反演过程中的强非线性问题.缺失低频分量测试结果表明，利用自适应非稳态相位校正时频域多尺度全波形反演方法结合常规全波形反演方法在缺失7 Hz以下低频分量的地震数据中仍然能够得到高精度的反演结果.震源不准确测试结果表明，即使震源子波相位差异较大，利用非稳态相位校正方法仍然能够一定程度上缓解周波跳跃现象.测试结果综合证明了本文提出的方法在构建初始速度建模，缓解周波跳跃等方面具有一定的优势.
关键词: 全波形反演/
多尺度策略/
伴随状态法/
自适应非稳态相位校正/
时频域

Abstract:In this paper, we propose a non-stationary phase correction objective function to mitigate the waveform mismatch problem for the time-frequency domain Full-Waveform Inversion (FWI). At the same time, according to the difference between recorded data and synthetic data, we introduce an adaptive correction factor to adjust the size of the phase correction. Based on the objective function of time frequency domain FWI, we use the chain rule to deduce the corresponding adjoint source and theoretically prove the feasibility and superiority of the Adaptive Non-stationary Phase correction Time-frequency multi-scale Full Waveform Inversion (ANPTFWI). In the process of numerical testing, we combine the advantages of low-pass filtering and multi-scale inversion strategy to alleviate the non-linearity of FWI. The numerical tests without low frequency information show that when the seismic data lack low frequency information below 7 Hz, the ANPTFWI method combined with the conventional FWI method still can obtain high accuracy inversion results. The numerical tests with an inaccurate wavelet show that even if there is a large phase difference between the two wavelets, we still can use the non-stationary phase correction method to mitigate the cycle skipping problem. The numerical test proves that the ANPTFWI has a strong ability for building good initial velocity models and mitigating the cycle skipping problem.
Key words:Full Waveform Inversion/
Multi-scale Strategy/
Adjoint State method/
Adaptive non-stationary phase correction/
Time-frequency domain



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