Gabor deconvolution using regularized smoothing
Zengbao Chen, Yanghua Wang, Xiaohong Chen · 2012
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 determined by the smoothing result of the Gabor magnitude spectrum of the nonstationary seismic trace, and assuming white reflectivity and minimum phase attenuation. In this paper, we have investigated a regularized smoothing method as an alternative to determine the Gabor deconvolution operator. We applied this algorithm using regularized smoothing to both synthetic and real data examples.