On Time-harmonic Seismic Data and Blending in Full Waveform Inversion
نویسندگان
چکیده
In this paper, we study the relationship between the acquisition of time-harmonic seismic data and the Dirichlet-to-Neumann map for the Helmholtz equation in dimension n ≥ 3. This relationship is established through the introduction of a single-layer potential operator. We analyze its properties with a view to so-called iterative full waveform inversion based on the Hilbert-Schmidt norm, that is, its (conditional) convergence on the one hand and a sparse, spectral source blending approach with controlled error on the other hand.
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