低频缺失下跨孔雷达包络波形反演

doi:10.13278/j.cnki.jjuese.20170281

吉林大学学报(地球科学版) ›› 2018, Vol. 48 ›› Issue (2): 474-482.doi: 10.13278/j.cnki.jjuese.20170281

• 移动平台探测技术及应用 • 上一篇下一篇

低频缺失下跨孔雷达包络波形反演

刘新彤¹, 刘四新¹, 孟旭², 傅磊¹

1. 吉林大学地球探测科学与技术学院, 长春 130026;
2. 澳门科技大学太空科学研究所, 澳门 999078

收稿日期:2017-10-16 出版日期:2018-03-26 发布日期:2018-03-26
通讯作者: 刘四新(1966-),男,教授,博士生导师,博士,主要从事探地雷达、钻孔雷达及电磁波测井等的方法理论和应用方面的研究,E-mail:liusixin@jlu.edu.cn E-mail:liusixin@jlu.edu.cn
作者简介:刘新彤(1989-),男,博士研究生,主要从事探地雷达波形反演研究,E-mail:liuxintong@vip.qq.com
基金资助:
国家重点研发计划项目（2016YFC0600505）；国家自然科学基金项目（41574109，41504085）

Envelope Waveform Inversion of Cross-Hole Radar Without Low Frequency Data

Liu Xintong¹, Liu Sixin¹, Meng Xu², Fu Lei¹

1. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China;
2. Space and Science Institute, Macau University of Science and Technology, Macau 999078, China

Received:2017-10-16 Online:2018-03-26 Published:2018-03-26
Supported by:
Supported by National Key Research and Development Program of China (2016YFC0600505) and National Natural Science Foundation of China (41574109, 41504085)

摘要/Abstract

摘要： 全波形反演方法作为一种高分辨率成像手段在跨孔雷达反演中得到有效应用，但其仍受局部最小问题影响。一个有效的解决方法是为反演提供一个准确的初始模型。但在应用真实雷达数据时，由于地下介质未知且存在低频数据缺失的情况，全波形反演往往难以获得理想结果。为此，使用对包络目标函数求导的方法，详细推导了包络波形反演的梯度公式。该方法与传统全波形反演方法在原始数据低频成分缺失情况下的反演结果对比表明，该方法能够有效还原缺失的低频信息并且对低频缺失数据有更好的反演能力，可以直接为地下介质提供定量解释。

关键词: 全波形反演, 跨孔雷达, 包络, 低频成分, 初始模型

Abstract: The full waveform inversion (FWI) has been used as a high resolution imaging method for cross-hole radar inversion; however, it is still trapped by local minimum. An effective way is to provide an accurate initial model for FWI. The fact is that the underground media is unknown, and the low-frequency information are usually not available in the GPR field data, which lead to difficult to achieve accurate result in FWI. The gradient formula of envelope waveform inversion (EWI) is deduced in detail by using the method of derivation of the envelope objective function. In comparison with the inversion result of the traditional FWI, the EWI has a better inversion ability for low-frequency missing data, and can effectively restore the missing low-frequency information. It can provide quantitative interpretation for subsurface media.

Key words: full waveform inversion, cross-hole radar, envelope, low frequency component, initial model

中图分类号:

P631.3

刘新彤, 刘四新, 孟旭, 傅磊. 低频缺失下跨孔雷达包络波形反演[J]. 吉林大学学报(地球科学版), 2018, 48(2): 474-482.

Liu Xintong, Liu Sixin, Meng Xu, Fu Lei. Envelope Waveform Inversion of Cross-Hole Radar Without Low Frequency Data[J]. Journal of Jilin University(Earth Science Edition), 2018, 48(2): 474-482.

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低频缺失下跨孔雷达包络波形反演

Envelope Waveform Inversion of Cross-Hole Radar Without Low Frequency Data

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