Intrinsic non-uniqueness of the acoustic full waveform inverse problem

SUMMARY In the context of seismic imaging, full waveform inversion (FWI) is increasingly popular. Because its lower numerical cost, acoustic approximation often used, especially at exploration geophysics scale, both for tests and real data. Moreover, some research domains such as helioseismology face true media which FWI can be useful. this work, an argument that combines particle relabelling homogenization used to show general inverse problem based on band-limited data intrinsically non-unique. It follows results inversions should interpreted with caution. To illustrate these ideas, we consider 2-D examples a Gauss–Newton iterative scheme demonstrate effects non-uniqueness in local optimization context.