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Filtering Deterministic Layer Effects in Imaging

We study imaging of compactly supported scatterers buried deep in layered structures. The layering is unknown and consists of strongly reflecting interfaces as well as weakly reflecting fine layers, which we model with random processes. We consider wave scattering regimes where the unwanted echoes from the layers overwhelm the signal coming from the compact scatterers that we wish to image. We enhance this signal with data filtering operators that tend to remove layering effects. We study theoretically the layer annihilator filters using the O'Doherty–Anstey (ODA) theory. It accounts for the random layering by introducing pulse spreading and attenuation in the reflections from the deterministic interfaces. We present numerical simulations in purely layered structures as well as in media with additional isotropic clutter.