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High frequency linearized sesimic imaging deals with the map that sends a small, singular perturbation of a known smooth sound speed to the resulting perturbation of the acoustic pressure field measured at the surface. Under fairly weak assumptions, this map is an FIO,
but its detailed structure, and the possibility for approximate inversion, depend on an interaction between the ray geometry for the background sound speed and the geometry of the data set. I will discuss some of what is known and suggest open problems. |
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