Finite Difference Forward Modeling of Acoustic Wave Equation

Resource Overview

Implementation of acoustic wave equation forward modeling using finite difference method with staggered grids, featuring 2nd-order temporal accuracy and 10th-order spatial accuracy

Detailed Documentation

We have successfully implemented forward modeling of the acoustic wave equation using the finite difference method. This simulation operates on a staggered grid configuration, achieving high accuracy and reliability. Our algorithm employs a 2nd-order temporal discretization scheme combined with a 10th-order spatial differentiation scheme, providing enhanced precision and detailed results in simulating acoustic wave propagation. The implementation leverages optimized finite difference coefficients for spatial derivatives and utilizes a leapfrog time-stepping approach for stable temporal evolution. Through this work, we gain deeper insights into acoustic wave characteristics and establish a foundation for more advanced research in this field. The code structure includes modules for grid initialization, coefficient calculation, wavefield update routines, and boundary condition handling to ensure numerical stability throughout the simulation process.