Finite Difference Seismic Numerical Simulation

This paper presents a straightforward 2D seismic numerical simulation model. Earthquakes represent one of Earth's critical natural hazards, making simulation essential for predicting potential seismic events. We employ the finite difference numerical simulation method to model seismic wave propagation, implementing wave equation discretization through central difference schemes in both time and spatial domains. The simulation code typically involves defining velocity models, implementing perfectly matched layer (PML) boundary conditions, and calculating wavefield updates using staggered-grid approaches. Through amplitude and phase analysis of seismic waves, we investigate propagation patterns across different media, utilizing Fourier transforms and dispersion analysis algorithms. The implementation includes parameter variation studies where users can modify source characteristics, velocity structures, and attenuation parameters to simulate diverse earthquake scenarios. Key functions involve wavefield initialization, time-step iteration loops, and snapshot visualization routines. This paper provides an effective 2D seismic numerical simulation methodology that enhances understanding of seismic wave propagation mechanisms through practical code implementation examples.