Forward Modeling of Rayleigh Surface Waves

Rayleigh surface waves represent a significant mode of surface wave propagation in seismology, with extensive applications in shallow seismic exploration studies. Forward modeling employs numerical computation methods to simulate seismic wavefield propagation processes, providing theoretical foundations for subsequent inversion interpretation.

Implementing Rayleigh surface wave forward modeling in MATLAB typically requires solving wave equation theories using numerical methods such as finite difference or pseudo-spectral approaches. Core implementation steps involve geological model establishment, wave equation configuration, boundary condition handling, and wavefield visualization. Key MATLAB functions may include pdepe for partial differential equation solving or custom finite difference matrices for wave propagation simulation.

The critical aspect of simulation lies in accurately characterizing Rayleigh waves' dispersion properties, which involves computing velocity-frequency relationships in layered media. By adjusting model parameters (such as layer thickness and shear wave velocity), researchers can analyze Rayleigh wave propagation characteristics under different geological conditions. Algorithm implementation often requires solving eigenvalue problems for dispersion curve calculation using root-finding methods like fzero or fsolve.

In shallow seismic exploration, Rayleigh wave simulation results facilitate the study of near-surface structures, providing significant value for engineering geological surveys and geohazard assessments. Numerical modeling assists researchers in understanding wavefield characteristics in complex geological environments, offering valuable references for practical exploration data interpretation.