Pre-stack seismic data reconstruction based on the undecimated wavelet transform
Guo Nianmin1, Li Haishan2, Feng Xuemei1, Wu Guochen3
1. Research Institute of Exploration & Exploitation, Tarim Oilfield Company, PetroChina, Korla, Xinjiang 841000, China; 2. Northwest Branch, Research Institute of Petroleum Exploration & Development, PetroChina, Lanzhou, Gansu 730020, China; 3. School of Geosciences, China University of Petroleum (East China), Qingdao, Shandong 266580, China
Abstract:Due to seismic data acquisition conditions, seismic trace missing often occurs. This is a serious problem in pre-stack data processing. Some conventional interpolation methods do not work or have very poor results to reconstruct non-uniform seismic missing traces. The undecimated discrete wavelet transform (UDWT) developed in recent years can effectively capture the singularity in seismic data with robust sparse representation capability. This approach can achieve better results than the Fourier transform. According to the compression sensing theory, the transform can reconstruct seismic missing data just using little acquired data even if the Nyquist sampling theorem is not satisfied. We develop a seismic data interpolation method based on UDWT for seismic missing trace reconstruction to ensure the integrity of seismic data for pre-stack data processing. Tests on theoretical model and real data have verified the validity of this method.