Standard model-based redatuming techniques allow focusing of the direct waves at the new datum, but the focus can be degraded because of surface multiples and internal multiples in the overburden. We demonstrate that if the medium above the redatuming level is known, these multiples can be correctly handled. We compute the exact focusing functions, free of multiples, using an inverse-filter approach. These focusing functions create downward-radiating and upward-radiating virtual sources at the new datum. The surface responses to these virtual sources are then used to compute the objective redatumed data set through multidimensional deconvolution. The redatumed data set corresponds to a virtual acquisition made at the new datum and for which the imprint of the overburden is completely removed. We test the technique on 2D acoustic synthetic examples corresponding to a seismic context and an acoustic nondestructive testing context.

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