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基于连续小波变换的时频域地震波能量衰减补偿 被引量:17

The attenuation compensation of seismic wave energy in time-frequency domain based on the continuous wavelet transform
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摘要 为提高地震资料的分辨率,对地层吸收衰减进行补偿是地震资料处理的一项重要内容。大地滤波算子是时间、频率和品质因子的函数,因此也可以在时频域内进行衰减补偿。相对于固定时窗的短时傅里叶变换(STFT)和Gabor变换,小波变换对于处理非平稳地震信号具有更好的局部时频分析能力。利用基于一维连续小波变换的时频分析方法(time-frequency continuous wavelet transform,TFCWT)和基于Kolsky衰减模型的大地滤波算子,在时频域内实现了地震波能量的衰减补偿。理论模型和实际资料试算结果表明,相较于小波域(时间-尺度域)内的衰减补偿方法,基于一维连续小波变换的时频域地震波能量补偿方法能够更好地补偿深层衰减地震信号,提高地震资料的分辨率。 In order to improve the resolution of seismic data,the compensation of stratigraphic absorption is an important part of seismic data processing.As the earth filtering operator is a function of time,frequency and quality factor,so we can also compensate the attenuation in the time-frequency domain.Compared with the fixed-windows short time Fourier transform(STFT)and Gabor transform,wavelet transform has better ability of local time-frequency analysis for analyzing the non-stationary seismic signal.In this paper,we compensate the attenuation of seismic energy in time-fequency domain by using the time-frequency continuous wavelet transform(TFCWT)and the earth filtering operator based on the Kolsky attenuation model.The results of theorical model and real data trials show that the seismic wave energy compensation method based on the TFCWT can compensate the attenuation of seismic signal and improve the resolution of seismic data better than the method in wavelet domain(time-scale domain).
出处 《石油物探》 EI CSCD 北大核心 2014年第5期523-529,602,共8页 Geophysical Prospecting For Petroleum
基金 国家重点基础研究发展计划(973)项目(2013CB429805) 国家自然科学基金项目(41174080)共同资助
关键词 非平稳信号 衰减补偿 小波变换 时频分析 non-stationary signal,attenuation compensation,the wavelet transform,time-frequency analysis
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