利用插值法在声学有限差分格式中插入小尺度非均匀性

SEG Technical Program Expanded Abstracts 2018 Pub Date : 2018-08-27 DOI:10.1190/SEGAM2018-2997751.1

I. Karpov, B. Arntsen, E. Raknes

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引用次数: 1

摘要

我们提出了一种在高阶声学有限差分格式中包含小尺度非均匀性和尖锐边界的方法。该方法基于将非均匀性表示为在密集辅助网格上定义的二次源。二次源与有限差分格式的相互作用是通过插值实现的。我们观察到该方法的结果与二维简单模型的精确解有很好的一致性。

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Using interpolation to insert small-scale inhomogeneities in the acoustic finite-difference scheme

We propose a way to include small-scale inhomogeneities and sharp boundaries in high-order acoustic finite di erence schemes. The method is based on representing the inhomogeneities as secondary sources defined on dense auxiliary grids. Interaction of the secondary sources with the finite di erence scheme is performed by interpolation. We observe good agreement of the method’s results with precise solutions for simple models in 2D.

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SEG Technical Program Expanded Abstracts 2018

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