Xiudi Jiang

Nonstationary seismic deconvolution by adaptive molecular decomposition

An approach is proposed to improve the resolution of nonstationary seismic data by adaptive molecular decomposition. For each seismic trace, a set of nonuniform molecular windows is constructed according to the attenuation trend described by smoothed weighted and damped instantaneous frequencies (WDIF) located at the traces envelope peaks. Such that in each window, the seismic trace is approximately stationary. These nonuniform molecular windows are used to produce a couple of Molecular-Gabor frames. 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 proposed method works well for a general earth Q-model that varies with travel time, and can expand the frequency band and recover the absorbed energy of the nonstationary seismic trace effectively.