Abstract
Basing on a particle network model, we have developed a dynamic lattice approach to simulate seismic wave propagation in transversely isotropic (TI) media with tilted symmetry axis (TTI). Different from other wave-equation-based numerical methods, the dynamic lattice approach calculates the micromechanical interactions between particles in the lattice instead of solving the wave equation. We implement Lagrange’s equations to transform these interactions into elastic forces acting upon each particle. By solving the equations of motion, we obtain the disturbances of particles. Therefore, seismic wave motions in continua are approximated by displacements of these particles. Elastic features of the continuum are represented by properties of the particle lattice, including the physical properties of particles and the micromechanical interactions between particles. In the case of TI media, it is a challenge to find the correct particle lattice model that can reflect the anisotropic nature of TI media. We have determined the theoretical connection between the TI medium and the particle lattice model, allowing us to model elastic seismic waves in heterogeneous TI media. Furthermore, we have linearized the propagator to improve the CPU efficiency of our method for seismic wave simulation. We have applied the method to reverse time migration on a TI model to test its usefulness in complex media imaging.
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