Gabor Deconvolution for Seismic Resolution Enhancement

Since viscoelastic attenuation processes are ubiquitous in subsurface media, the source wavelet rapidly evolves as the wave travels through the earth. The traditional Wiener’s deconvolution assumes that seismic data is stationary, and only deals with a limited class of attenuation effects in an average sense. In this paper, the Gabor deconvolution is implemented to enhance seismic resolution by eliminating the source wavelet and the attenuation process simultaneously. This algorithm is derived from an approximate factorization of a nonstationary trace model based on Gabor transform. The Gabor deconvolution operator is obtained by assuming white reflectivity and minimum phase and attenuation. An energy balance between the input trace and the Gabor deconvolution result is needed since there is a smoothing process. Synthetic and real data examples demonstrate that the Gabor deconvolution produces a considerable high-resolution image.