Improved gabor deconvolution by using shaping regulartizon and its application

Gabor deconvolution is acknowledged as an effective nonstationary deconvolution method which can simultaneously remove the source signature and attenuation effects. Under the constant Q theory, the attenuation contours track along hyperbolic trajectories in time-frequency plane, and smoothing along these trajectories would lead to more reasonable estimation on attenuation, source wavelet and reflectivity. Furthermore, division operation is necessitated to form the deconvolution operator, and pre-whitening factors are always used to enhance the division stability. However, the pre-whiting factor is so commonly used that people usually fail to investigate its hazards, which probably smear useful reflectivity information and degrade the ultimate deconvolution result. In this paper, we treat the process as an inversion problem and employ the strategy of shaping regularization to stabilize it. Moreover, the results achieved from model data and field data have demonstrated the effectiveness and robustness of improved method in precise reflectivity estimation and reasonable compensation.