Shallow geological structures building by joint waveform inversion based on curvelet decomposition

Shallow geological imaging structures often play an essential role in the field of environmental and engineering geophysics. Early arrival waveform inversion (EWI) is high-resolution method to imaging near-surface structures. We proposed a joint waveform and envelope inversion method based on curvelet transform (CJWEI) to build shallow geological structures. By taking advantage of their complementary sensitivities to near-surface structure, we can constrain both low- and high-wavenumber components of structures, as well as mitigating the cycle-skipping problem. Curvelet transform was used to decompose seismic data into different scales and provide a multi-scale inversion strategy to further reduce non-uniqueness of the inversion. With synthetic test, we demonstrate that our method can constrain the anomalies and hidden layers in the shallow structure more efficiently as well as robust in terms of noise.