Since seismic modelling is widely used in seismic inversion and migration, the accuracy of seismic modelling is important. As a practical full waveform inversion, acoustic waveform inversion is preferred because of computational burden. Most of the acoustic waveform inversion and migration are based on the acoustic wave equation for homogeneous media. However, because real earth media are not homogeneous, density variation of subsurface media needs to be considered in acoustic modelling, inversion, and migration. In this study, we compare numerical modelling results obtained by the finite-difference and finite-element modelling algorithms based on the conventional and heterogeneous wave equations for the Marmousi-2 model. As long as the modelling algorithm is based on the same (conventional or heterogeneous) wave equation, modelling results are compatible with each other. On the other hand, modelling results based on the heterogeneous wave equation are different from those based on the conventional wave equation. Considering that real earth media are heterogeneous, we suggest using acoustic wave modelling based on the heterogeneous wave equation in seismic inversion and migration.


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