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

Abstract

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.