Gabor Deconvolution – Theory and Practice

P005 GABOR DECONVOLUTION: THEORY AND PRACTICE Summary 1 Seismic data is arguably always nonstationary in its Fourier spectral character since anelastic attenuation processes are present everywhere. We present a nonstationary deconvolution technique designed to estimate and remove both the source signature and the subsequent earth attenuation effects. Our method is a direct extension of the familiar Wiener deconvolution when the latter is posed in the Fourier domain. We use the Gabor transform a nonstationary generalization of the Fourier transform to perform a time-frequency decomposition of a seismic trace. We then smooth the magnitude of this Gabor spectrum in such a