Radial Basis Function-generated Finite Differences (RBF-FD) is a popular variant of local strong-form meshless methods that do not require a predefined connection between the nodes, making it easier to adapt node-distribution to the problem under consideration. This paper investigates a RBF-FD solution of time-domain acoustic wave propagation in the context of seismic modeling in the Earth's subsurface. Through a number of numerical tests, ranging from homogeneous to highly-heterogeneous velocity models, we demonstrate that the present approach can be further generalized to solve large-scale seismic modeling and full waveform inversion problems in arbitrarily complex models --- enabling more robust interpretations to geophysical observations.

中文翻译：

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非均质地球地下二维时域声波传播的 RBF-FD 分析

径向基函数生成的有限差分 (RBF-FD) 是局部强形式无网格方法的一种流行变体，它不需要节点之间的预定义连接，从而更容易使节点分布适应所考虑的问题。本文研究了在地球地下地震建模的背景下时域声波传播的 RBF-FD 解决方案。通过从均匀速度模型到高度非均匀速度模型的大量数值试验，我们证明了本方法可以进一步推广以解决任意复杂模型中的大规模地震建模和全波形反演问题——实现更可靠的解释到地球物理观测。