广义S变换在地震勘探中的研究进展
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摘要
广义S变换是目前比较新的一种非平稳信号分析的时频分析方法,其特点和优势为广义S变换的反变换与傅立叶变换有直接的联系,保证其是无损变换;线性变换保证其不存在交叉项;时频分辨率与信号的频率有关;基本小波不必满足容许性条件;尺度性质使得广义S变换有很好的频率聚集能力。基于这些特点和优势,在地震勘探中已经有了广泛的应用,如利用广义S变换进行瑞利面波频散分析、时频域波场分离与去噪、沉积相旋回以及地震波初至识别等。笔者总结了应用中比较有代表性的广义S变换类型,并结合实例,阐述了该方法在地震勘探中的研究进展。
The generalized S transform is a relatively new time-frequency analysis method for non-stationary signal,which has the following characteristics and advantages: S transform inverse transform and Fourier transform is directly linked to ensure that it is the non-destructive transform;linear transform ensure there is no cross-terms;time-frequency resolution and the signal frequency-related;basic wavelet do not have to meet the permit conditions;scale makes the generalized S transform have good aggregation ability for frequency.Based on these characteristics and advantages,the generalized S transform has been widely used in seismic exploration.Such as dispersion analysis of Rayleigh surface wave,wave field separation and noising,Extraction of sedimentary cycles and the first-arrive detection of seismic wave,etc.In this paper,we summarize the present representative of the generalized S transform type,and combine with examples,expound the research progress of this method in seismic exploration.Finally,we give a prospect of generalized S transform in seismic exploration.
引文
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