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Iterative Data Interpolation beyond Aliasing Using Seislet Transform
详细信息   
摘要
Many seismic data processing methods need complete data information.However,an ideal uniform coverage is rarely achieved because of practical and economic constraints,e.g.,spatial undersampling and seismic trace missing,especially,missing seismic data always cause spatial aliasing and affect the following data processing workflow.Traditional interpolation methods hardly solve both data missing and spatial aliasing.Therefore,it is important to develop an effective data interpolation technique to realize antialiasing interpolation.In this paper,we rescale both time and spatial axes and use the scale invariance property of prediction-error filter(PEF)s to calculate the antialiasing dip pattern of seismic data.The dip pattern is used to develop antialiasing seislet transform,which compresses missing data with spatial aliasing.By employing the Bregman iterative algorithm belonging to compressive sensing,the proposed method can interpolate the missing information by aliasing.The synthetic and field-data examples demonstrate that the proposed method based on seislet transform and compressive sensing theory is suitable for recovering missing seismic data even with spatial aliasing.

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