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

作　　者：刘新彤 刘四新[1] 孟旭 傅磊[1] Liu Xintong;Liu Sixin;Meng Xu;Fu Lei(College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China;Space and Science Institute, Macao University of Science and Technology, Macao 999078, China)

机构地区：[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

出　　处：《吉林大学学报（地球科学版）》2018年第2期474-482,共9页Journal of Jilin University：Earth Science Edition

基　　金：国家重点研发计划项目(2016YFC0600505);国家自然科学基金项目(41574109;41504085)~~

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。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.

关 键 词：全波形反演 跨孔雷达 包络 低频成分 初始模型 

分 类 号：P631.3[天文地球—地质矿产勘探]