Research on identifying the airy phase of transmitted channel waves based on generalized S-transform
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摘要: 透射槽波勘探是查明煤矿工作面地质情况的重要物探方法之一,其频散曲线埃里相识别的合理性直接关系到后续工作面层析成像的准确性。目前,S变换已被广泛应用到频散分析中,然而由于S变换窗函数固定,其应用效果受到限制,为进一步提高频散曲线埃里相的识别精度,本文将窗函数可调的广义S变换引入到频散曲线的分析中。对广义S变换的窗函数采用时间半高宽进行分析,窗函数时间半高宽在给定频率范围内越宽,其时间分辨率低;频率分辨率增高,窗函数宽度越窄,则时间分辨高、频率分辨低。给出了时间半高宽与广义S变换参数的关系式,可根据实际情况定量调节时频分辨率。计算表明,在合理选择广义S变换参数的前提下,广义S变换能有效提高时频分辨率,改善频散曲线埃里相特征,利于解释人员准确拾取透射槽波埃里相。Abstract: Transmission seismic exploration in the coal mining face is one of the important geophysical surveys to figure out the geological hazards of coal seam.The rationality of identifying the airy phase from the transmitted channel waves is closely related to the accuracy of the tomography.Nowadays,S-transform is widely used in the analysis of dispersion curve,however,its application is limited with the fixed window.In order to improve the identification accuracy of the airy phase of the dispersion curve,this paper introduces the generalized S-transform with adjustable window into the analysis of dispersion curve.The window of generalized S-transform is analyzed by temporal full width at half maximum (temporal FWHM).For a frequency range,a wider window indicates a lower temporal resolution and a higher frequency resolution,and a narrower window indicates a higher temporal resolution and a lower frequency resolution.The time-frequency resolution can be adjusted quantitatively according to the relationship between the temporal FWHM and the parameters of generalized S-transform in application.The synthetic and real data result show that the generalized S-transform can effectively improve the time-frequency resolution and the airy phase characteristics of the dispersion curve.It is helpful for the interpreter to pick up the airy phase of the transmitted channel waves accurately.
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Key words:
- generalized S-transform /
- transmitted channel waves /
- dispersion curve /
- airy phase
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