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2D time-domain acoustic-elastic coupled modeling: a cell-based finite-difference method

机译:二维时域声弹耦合建模:基于单元的有限差分方法

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摘要

To describe wave propagation in a fluid-solid environment which is usually encountered during marine seismic exploration, we design a time-domain acoustic-elastic coupled modeling algorithm based on the cell-based finite-difference method. The cellbased method has proven to delineate stress-free conditions correctly at the free surface with just changes in the material properties, which indicates that it can also properly deal with subsurface interface boundaries. In the acoustic-elastic coupled modeling, we first compose finite differences individually for the acoustic and elastic media; we then combine the differences using fluid-solid interface boundary conditions. Numerical experiments show that the cell-based coupled modeling algorithm gives solutions compatible with analytic solutions and that it properly describes S- and converted waves as well as P-waves. Applying the cell-based coupled modeling algorithm to a slope model, we confirm that our coupled modeling algorithm describes irregular interfaces properly, although it employs a staircase approximation of them.
机译:为了描述在海洋地震勘探中通常遇到的流固环境中的波传播,我们设计了基于单元有限差分法的时域声弹耦合建模算法。已经证明,基于细胞的方法仅通过改变材料特性即可在自由表面上正确地描述无应力条件,这表明它也可以正确处理地下界面边界。在声弹耦合建模中,我们首先分别为声介质和弹性介质组成有限差分;然后,我们分别对有限差分进行合成。然后,我们使用流固界面边界条件组合差异。数值实验表明,基于单元的耦合建模算法可提供与解析解兼容的解,并且可以正确描述S波和转换波以及P波。将基于单元的耦合建模算法应用于边坡模型,我们确认我们的耦合建模算法可以正确描述不规则界面,尽管它采用了阶梯式近似。

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