基于节点间断有限元方法的三维声学–弹性耦合介质波场模拟

A Nodal Discontinuous Galerkin Method for Wave Propagation in Coupled Acoustic-elastic Media

  • 摘要: 为了准确模拟地震波在声学–弹性耦合介质中的传播,本文将节点间断有限元方法应用于三维声学–弹性耦合介质中的波场模拟。首先,详细地推导节点间断有限元方法的数值格式,并建立不同界面(声学–声学、声学–弹性及弹性–弹性界面)的迎风数值流通量计算公式。其次,针对不同耦合介质模型进行数值实验验证该方法,包括水平界面、弯曲界面耦合介质模型,起伏地表模型。将该方法的数值结果与谱元法的结果进行对比,验证了该方法在耦合边界处理方面的准确性和有效性。最后,通过三维推覆体复杂构造模型的数值模拟,进一步验证了该方法处理复杂地质结构的能力。

     

    Abstract: In order to accurately simulate the propagation of seismic waves in the coupled acoustic-elastic media, this paper applies the nodal discontinuous Galerkin method to seismic wavefields simulation in 3D coupled acoustic-elastic media. We provide a detailed derivation of the numerical formulations, including the upwind numerical flux at acoustic-acoustic, acoustic-elastic and elastic-elastic interfaces. Subsequently, numerical experiments are conducted for different coupled models, which includes the coupled models with flat interface, curved interface and irregular topography. By comparing the numerical solutions with those from spectral element method, the accuracy and the ability of handling coupled boundaries of the proposed scheme are verified. Finally, the method is applied to a 3D overthrust model to validate its capability in dealing with complex geological structures.

     

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