Enhancing resolution of nonstationary seismic data by molecular-gabor frame

An adaptive spectrum-broadening method (ASBM) is proposed in this paper to improve the resolution of nonstationary seismic data. We construct a set of nonuniform molecular windows by solving an optimization problem such that in each window, the seismic trace is approximately stationary. These nonuniform molecular windows are used to produce a Molecular-Gabor frame. For the trace segment in each window, the spectrum-broadening and energy compensation are performed in Molecular-Gabor domain. Subsequently, a high-resolution version of the nonstationary seismic data can be obtained after inverse Molecular-Gabor transform. Applications of this method to both synthetic and real data show that the ASBM can expand the frequency band and recover the absorbed energy of the nonstationary seismic trace effectively, and this method also works well for a general earth Q-model that varies with travel time.