Finite-difference modeling of viscoelastic and anisotropic wave propagation using the rotated staggered grid
Finite-difference modeling of viscoelastic and anisotropic wave propagation using the rotated staggered grid
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DOI：
10.1190/1.1707078
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发表时间：
2004-03-01
期刊：
影响因子：
3.3
通讯作者：
Bohlen, T
中科院分区：
文献类型：
--
作者：
Saenger, EH;Bohlen, T
我们描述了应用旋转交错网格（RSG）有限差分技术的波动方程的各向异性和粘弹性介质。RSG使用旋转有限差分算子，导致建模参数在一个基本单元中的分布，其中一个物理属性的所有组件仅位于一个位置。这对于在各向异性介质或复杂介质（包括高对比度不连续性）中建模波传播是有利的，因为不需要对弹性模量进行平均。RSG可以应用于位移-应力和速度-应力有限差分（1713）方案，后者通常用于模拟粘弹性波传播。利用von Neumann格式的分析，我们估计了RSG格式在一般各向异性介质中的色散误差。在三个不同的模拟例子中，所有的基础上以前发表的问题，我们证明了所提出的数值方法的应用和精度。
We describe the application of the rotated staggered-grid (RSG) finite-difference technique to the wave equations for anisotropic and viscoelastic media. The RSG uses rotated finite-difference operators, leading to a distribution of modeling parameters in an elementary cell where all components of one physical property are located only at one single position. This can be advantageous for modeling wave propagation in anisotropic media or complex media, including high-contrast discontinuities, because no averaging of elastic moduli is needed. The RSG can be applied both to displacement-stress and to velocity-stress finite-difference (1713) schemes, whereby the latter are commonly used to model viscoelastic wave propagation. With a von Neumann-style anlysis, we estimate the dispersion error of the RSG scheme in general anisotropic media. In three different simulation examples, all based on previously published problems, we demonstrate the application and the accuracy of the proposed numerical approach.