Acoustic full-waveform inversion (FWI) is increasingly being pushed to make use of reflections which are difficult to match with an acoustic approximation and contribute to significant residuals. Whilst elastic FWI offers the potential to better invert reflections for elastic model parameters, it is orders of magnitude more expensive if run with a grid sampling appropriate to generate dispersion-free shear wave propagation. In this paper we propose a new acoustic wave equation, derived using linearized plane-wave reflection coefficient theory, that augments the kinematic effects with terms that control elastic reflection amplitude effects.
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