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This article discusses aspects of practical application of the solution to inverse seismic problems based on 1D elastic models of the medium. In order to better fit the 1D models to real observations we propose using a structural decomposition. It allows us to transform the wave field, corresponding to a 3D model, to the wave field, corresponding to a set of local 1D models with “ideal” conditions of seismic oscillations excitation and registration. As a result, a new system of observations in the form of “pseudo” seismograms, which are used during the transition into spectral domain for the solution of the corresponding inverse problem, can be available. In addition, the decomposition of waveforms corresponding to the target object is carried out in the spectral domain. This decomposition allows to eliminate variations in the waveform associated with the changes in the conditions of seismic oscillations excitation and registration, as well with the passage through the overlying medium. In particular, it takes into account the change in the waveform due to differences in the radiation patterns of the real source for different angles of arrival to the target object

Structural decomposition of the wave field in the solution of inverse seismic problems