Abstract:
As the quality of pre-stack processing determines the quality of post-stack results and affects the accuracy of seismic AVO interpretation, improvement and optimization of the pre-stack trace set is essential.Owing to the influence of wavelet stretching, stretching tuning effect, thin layer tuning effect, and other factors, it contains redundant interference information except for formation reflection, which further complicates pre-stack track set recording.A single wavelet dictionary cannot represent the seismic signal effectively, whereas an overcomplete wavelet dictionary can perform multifeatured sparse representations of seismic signals.For a common reflection point pre-stack trace set, a path set optimization method based on a sparse reconstruction strategy was studied.Initially, the constrained optimization objective function and unconstrained optimization objective function based on least square were established for sparse reflection coefficient estimation under the wavelet projection of seismic records.Subsequently, regularization and oscillation smoothing strategies were introduced to ensure the stability of the solution.Based on the built Ricker wavelet dictionary and considering the main frequency, absorption attenuation, and factors such as time shift and phase changes, a more complex over complete dictionary library feature was constructed.After complete wavelet dictionary projection, the reflection coefficient, tensile effect of wavelet, composition, such as tuning effect of the seismic data, could be effectively represented, and a more accurate reflection coefficient could be extracted.From the above results, a regularized orthogonal matching tracking algorithm based on an over-complete dictionary representation was developed.The results of the theoretical model and practical data show that noise suppression, tensile correction, and resolution enhancement were improved and optimized to a certain extent.