Compact Grid-Characteristic Scheme for the Acoustic System with the Piece-Wise Constant Coefficients

This paper considers numerical simulation of acoustic waves in heterogeneous two-dimensional (2D) media by the grid-characteristic method. We present a novel high-order compact numerical scheme that accurately handles discontinuous material parameters. We present one-dimensional and 2D formulations and discuss their programming implementation. The merits of this approach are evaluated in numerical experiments. It is verified empirically that the scheme demonstrates the second-order of convergence. Furthermore, we apply the scheme to the Sukhoi Log gold deposit model and the Marmousi model. The primary practical outcome of this research is that it provides a tool for precise simulation of wavefields in complex media with discontinuous parameters.

Automated summary

This paper presents a novel numerical scheme for simulating acoustic waves in heterogeneous 2D media, and demonstrates its accuracy in handling discontinuous material parameters. The scheme is evaluated through numerical experiments and found to exhibit second-order convergence. It is successfully applied to the Sukhoi Log gold deposit model and the Marmousi model, providing a valuable tool for precise simulation of wavefields in complex media with discontinuous parameters.