Abstract
Based on a particle lattice model, a dynamic lattice method is proposed to simulate seismic wave propagation in transversely isotropic (TI) media with tilted symmetry axis (TTI media) in the presence of free surface topography. Different from other wave equation based numerical methods, the dynamic lattice approach calculates the micro-mechanical interactions between particles in the lattice instead of solving the wave equation. In the case of TI media, it is a challenge to find the correct particle lattice model which can reflect the anisotropic nature of TI media. Our study reveals the theoretical connection between TI medium and the particle lattice model, allowing us to model elastic seismic waves in TI media. On the other hand, the particle feature of this method makes it convenient to incorporate free surface topography. To achieve this, we only need to remove the particles above the surface topography from the lattice. The free surface boundary condition is automatically implemented through the interactions between particles near the free surface. Numerical results demonstrate the effect of our method in simulating elastic waves in TI media with free surface topography.
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