Grid scaling 2-D acoustic full waveform inversion with a high frequency impulsive source

Vladimir Zubov and Michael P. Lamoureux and Gary F. Margrave


Spatial grid multi-scaling with domain decomposition is developed in this study in order to obtain better convergence rate for the acoustic inverse problem for velocity field with self-adjoint dispersive operator. The model used in the study is based on the 2D acoustic wave equation boundary problem approximated with fourth-order spatial finite-difference approximation and factorization in orthogonal spatial directions. Combinations of different spatial scaling in the case of one impulse point source and limited number of observation points (virtual geophones) is implemented in the paper to verify the ability to estimate the velocity field with suitable synthetic data.

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