Elastic Wave Numerical Simulation Using Time-Domain Finite-Difference Algorithm

In this article, we provide a comprehensive discussion of elastic wave numerical simulation. Elastic wave numerical simulation is a mathematical model used to study the propagation of elastic waves through various media. This model employs the time-domain finite-difference algorithm, which serves as a numerical method for solving partial differential equations. The implementation typically involves discretizing the wave equation using central difference schemes for both temporal and spatial derivatives, with stability conditions governed by the Courant-Friedrichs-Lewy (CFL) criterion. We also delve into dual-phase media, which are characterized by possessing two distinct physical properties. Understanding elastic wave numerical simulation and dual-phase media enables better interpretation of geophysical phenomena in fields such as seismology and underground exploration. From a coding perspective, key implementation aspects include boundary condition handling (e.g., perfectly matched layers for absorption) and material parameter assignment for heterogeneous media.