Nonstationary deconvolution operators can be designed directly from the seismic data and applied to the data using nonstationary filtering techniques. Such operators can be continuously time-variant and have any desired amplitude or phase spectra. The operator design uses time-variant Fourier spectra measured directly from the seismic data, which are smoothed, inverted and combined with a minimum-phase spectrum, if desired. This method of nonstationary deconvolution (NSD) approximately corrects the seismic data for the effects of anelastic attenuation, frequency dispersion, and source signature. The result is a one-dimensional nonstationary operation that the range of stationary deconvolution to a type of data-driven inverse-Q filter.
NSD has been applied to real seismic data and the results have been compared to results from Wiener deconvolution and inverse-Q filtering. The datasets deconvolved with NSD show improved vertical resolution and improved reflection character as compared to results from the other methods.
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