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Finite-element simulation of seismic ground motion with a voxel mesh

机译：体素网格对地震地震动的有限元模拟

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Accurate simulation of seismic ground motion for three-dimensionally complex topography and structures is one of the most important goals of strong motion seismology. The finite-element method (FEM) is well suited for this kind of simulation, since traction-free conditions are already included in the formulation, and the Courant condition is less strict than for the finite-difference method (FDM). However, the FEM usually requires both large memory and computation time. These limitations can be overcome by using a mesh consisting of voxels (rectangular prisms) with isotropy built into the explicit formulation of the dynamic matrix equation. Since operators in the voxel FEM are the combinations of ordinary FDM operators and additional terms, the method keeps accuracy of the same order as FDM and the terms relax the Courant condition. The voxel FEM requires a similar amount of memory and only takes 1.2similar to1.4 times longer computation time. The voxel mesh can be generated considerably faster than the popular tetrahedral mesh. Both ground motions and static displacements due to a point or line source can be calculated using the voxel FEM approach. Comparisons with the reflectivity method and theoretical solutions demonstrate the successful implementation of the method, which is then applied to more complex problems.
机译：对三维复杂地形和结构的地震地面运动进行精确模拟是强运动地震学最重要的目标之一。有限元方法（FEM）非常适合这种模拟，因为配方中已经包含了无牵引力条件，并且库兰特条件不如有限差分法（FDM）严格。但是，FEM通常需要大量的内存和计算时间。通过使用由具有各向同性的体素（矩形棱镜）组成的网格可以克服这些限制，该网格内置于动态矩阵方程的显式公式中。由于体素FEM中的算子是普通FDM算子和其他术语的组合，因此该方法可保持与FDM相同顺序的准确性，并且这些术语会放松Courant条件。体素FEM需要类似的内存量，仅需要1.2到1.4倍的较长计算时间。体素网格可以比流行的四面体网格更快地生成。可以使用体素FEM方法计算由于点或线源引起的地面运动和静态位移。与反射率方法和理论解的比较证明了该方法的成功实施，然后将其应用于更复杂的问题。

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