Abstract:The purpose of frequency extension is to improve the dominant frequency of seismic data, broaden the frequency band, and thereby better describe smaller and thinner geological bodies. A forward mathematical model is built for spectrum extension, and the forward problem of spectrum extension is transformed into an inverse problem through the broadband constrained target spectrum (CTS). The spectrum extension operator (SEO) in the frequency domain is acquired through solving the inverse problem by the complex-domain least-squares method. Spectrum extension of seismic data is achieved by applying SEO to the frequency spectrum of the original seismic data and the inverse Fourier transform. This method can effectively improve the dominant frequency, broaden the frequency band, and improve the resolution of seismic data without changing the phase spectrum of the data. The distance between the frequency spectrum after frequency extension and the CTS can be adjusted by setting different spectrum control factors to obtain spectrum extension results with different resolutions. This method has been applied to the fine identification of thin layers and overlap pinch-outs in the Jiyang Depression,and has a broad application prospect.
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