Nonlinear sensitivity operator and inverse thin-slab propagator for tomographic waveform inversion

Summary We derived the nonlinear sensitivity operator and the related inverse thin-slab propagator (ITSP) for nonlinear tomographic waveform inversion based on the theory of nonlinear partial derivative operator. The inverse propagator is based on a renormalization procedure to the forward and inverse T-matrix series. The inverse thin-slab propagator solves the divergence problem of the inverse series for strong perturbations by stepwise partial summation (renormalization). Numerical tests showed that the inverse Born T-series starts to diverge at 20% perturbation (for the given model), while the inverse thinslab propagator has no convergence problem for up to 50% perturbation. This convergence improvement has potential applications to the iterative procedure of waveform inversion.

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