An arbitrary order dynamic lattice method for elastic wave modeling in TTI media

An arbitrary order dynamic lattice method (DLM) is developed to reduce the spatial dispersion of the original first order DLM in elastic wave simulation in transversely isotropic (TI) media. The particle based dynamic lattice method uses lattice model to represent elastic media. The micromechanical interactions between the particles in the lattice represent the elastic properties of the media. In this way, the DLM offers great flexibility in simulating various kinds of elastic media in terms of their dynamic behaviors. However, due to the spatial discretization, the original DLM suffers from spatial dispersion during wave simulation. Our research reveals the theoretical connections between particle interactions and the dispersion of the wave simulation for different orders of DLM. Basing on this connection, we establish the general case of arbitrary order DLM. By adding more interactions between non-adjacent particles, the newly developed high order DLM managed to suppresses the dispersion during elastic wave simulation. Numerical tests show the significant improvement of the high order DLM in reducing the dispersion. Presentation Date: Wednesday, September 27, 2017 Start Time: 10:35 AM Location: Exhibit Hall C/D Presentation Type: POSTER