Seismic matching pursuit decomposition based on the attenuated Ricker wavelet dictionary

The wavelet dictionary is the critical part for the matching pursuit decomposition of seismic traces. In this study, considering the effects of the wave‐attenuation we develop a new wavelet atom based on the traditional Ricker wavelet, and thus form a new dictionary—the attenuated Ricker wavelet dictionary. Based on the proposed dictionary, we use the orthogonal matching pursuit to decompose an input seismic trace into a set of components, each of which can establish the relation between the quality factor Q and the spread time of the wavelet atom. Then we can derive the Q model of the underground medium by smooth algorithms. By compensating the amplitude attenuation of each decomposed wavelet atom, the input seismic trace can be compensated. We test our algorithm with a synthetic trace and a field seismic profile preliminarily, the seismic wave‐attenuation can be well compensated and the resolution is improved.