Nonlinear scale separation and a renormalization interpretation in seismic envelope inversion

Abstract:

Envelope inversion can nonlinearly separate the response of large-scale structure from the fine-structure. The convergence behavior of envelope inversion can be well-explained by renormalization and renormalization group (RG) theory/method. The local integration (local interaction) of the envelope operator and the local re-linearization of the envelope inversion solve the divergence problem, although it can only recover the large-scale background structure (low resolution inversion). The combined inversion of envelope inversion and waveform inversion (SEI+FWI) can substantially reduce the starting model dependence of the regular full-waveform inversion. Numerical examples from the Marmousi model and the Overthrust model are shown to demonstrate the method.