Finite Difference Modeling of Elastic Wave Propagation

Abstract:

We present a staggered-grid finite difference scheme for velocity-stress equations to simulate the elastic wave propagating in transversely isotropic media. Instead of the widely used temporally second-order difference scheme, a temporally fourth-order scheme is obtained in this paper. We approximate the third-order spatial derivatives with 2N-order difference rather than second-order or other fixed order difference as before. Thus, it could be possible to make a balanced accuracy of O (Δt4+Δx2N) with arbitrary N. Related issues such as stability criterion, numerical dispersion, source loading and boundary condition are also discussed in this paper. The numerical modeling result indicates that the scheme is reliable.

• Periodical: Advanced Materials Research (Volumes 433-440)
• Pages: 4656-4661
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.433-440.4656
• Online since: January 2012
• Authors: Qiang Zhang, Qi Zhen Du, Xu Fei Gong
• Keywords: Boundary Condition, Finite Difference, Numerical Dispersion, Staggered Grid, Velocity-Stress Equation

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