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A consistent implementation of point sources on finite-difference grids
Geophysical Journal International ( IF 2.8 ) Pub Date : 2020-08-14 , DOI: 10.1093/gji/ggaa383
Erik F M Koene 1 , Johan O A Robertsson 1 , Fredrik Andersson 1
Affiliation  

We present a method to position point sources at arbitrary locations on finite-difference (FD) grids. We show that implementing point sources on single nodes can cause considerable errors when modelling with the FD method. In contrast, we propose to create a spatially distributed source (over multiple nodes) that nonetheless creates the desired point-source response. The spatial point source is formulated in the wavenumber domain and is based on the FD coefficients used for the wave propagation. Using this ‘FD-consistent source’ on 1-D and 2-D examples, we show that we can obtain superior fits to analytical solutions compared to single-node or sinc-function source implementations, and we show that sources can be offset to arbitrary locations from ‘on’ the grid to ‘off’ the grid, while resulting in solutions that are identical to within machine precision

中文翻译:

点源在有限差分网格上的一致实现

我们提出一种将点源定位在有限差分(FD)网格上任意位置的方法。我们显示,在使用FD方法建模时,在单个节点上实现点源会导致相当大的错误。相反,我们建议创建一个空间分布的源(在多个节点上),该源仍然会创建所需的点源响应。空间点源在波数域中表示,并基于用于波传播的FD系数。使用此一维和二维示例中的“ FD一致性源”,我们表明与单节点或Sinc函数源实现相比,我们可以获得对分析解决方案的更好拟合,并且表明源可以偏移到从“上”到“下”的任意位置,
更新日期:2020-08-31
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