This paper develops a new approach to 3D full-waveform inversion of the acoustic field data. This approach is based on a novel technique to compute the data gradient in the framework of seismic full-waveform inversion carried out in the frequency domain. The quasi-analytical (QA) approximation, which was initially developed for electromagnetic field modeling, is applied to the acoustic field. The advantage of this approach is that the QA approximation is almost as fast as the Born approximation, but much more accurate. We use this approach to reduce the computational load needed to calculate the Fréchet derivative operator required for the inversion. To demonstrate feasibility of the new approach, we inverted synthetic pressure responses of a model mimicking salt tectonics.


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