Surface consistent deconvolution compensates for phase perturbations in the near surface. Some of these perturbations are the result of wave propagation near the source or receiver. Using a Born based approach in a highly idealized representation of the near surface I derive analytical sensitivity kernels based on the instantaneous phase of a seismic sweep. This allows predicting changes in instantaneous phase due to velocity perturbations in the very near surface. One interesting observation is the relative large effect that small perturbations near the source/receiver can have on the instantaneous phase. This calls for further study on the relation between surface consistent source/receiver terms and more realistic structures with large velocity contrasts.


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