Dynamic Lattice Method for Elastic Wave Simulation in 3-dimensional Arbitrary Anisotropic Media

Summary Simulating the behavior of geological materials represents a fundamental objective in geophysical research. To achieve this goal, various models have been developed for different scenarios. While continuum models based on continuum mechanics are most commonly employed, non-continuum approaches such as the discrete element model and the lattice model have also been developed to address the pervasive discontinuities inherent in geological materials. However, existing non-continuum models are predominantly limited to isotropic conditions, significantly constraining their applicability. The dynamic lattice method proposed in this study aims to overcome this limitation. By independently assigning elastic properties to lattice bonds based on their spatial orientation, we have successfully introduced anisotropy into a three-dimensional lattice model. The linear relationships between the lattice model parameters and their continuum counterparts are established in terms of elastic properties. This advanced three-dimensional lattice model has been effectively applied in elastic seismic wave simulations in arbitrary anisotropic media.