A nodal discontinuous Galerkin method for wave propagation in coupled acoustic–elastic media

IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS
Ruiqi Li, Yijie Zhang, Naihao Liu, Jinghuai Gao
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引用次数: 0

Abstract

The accurate numerical solution at an acoustic–elastic interface is important for offshore exploration. The solution requires careful implementation for the acoustic–elastic boundary conditions. In this work, we leverage a nodal discontinuous Galerkin method, in which the unstructured uniform triangular meshes are used for the model meshing and an explicit upwind numerical flux derived from the Riemann problem is adopted to handle the boundary conditions at the acoustic–elastic interface. Several numerical results are provided to assess the accuracy and convergence properties of this method. The convergence analysis is carried out in the coupled model with a flat interface, and the accuracy of the proposed method is verified in the curved interface coupled model. Finally, a more complex model with a salt dome, inspired by real geophysical applications, is carried out in this study. The numerical results demonstrate that the proposed nodal discontinuous Galerkin method is effective and accurate for dealing with the coupled acoustic–elastic media with complex geometries.

耦合声弹介质中波传播的节点非连续伽勒金方法
声弹性界面的精确数值求解对于近海勘探非常重要。求解时需要仔细考虑声弹边界条件。在这项工作中,我们利用了节点非连续 Galerkin 方法,其中使用了非结构化均匀三角网格来划分模型网格,并采用了从黎曼问题中导出的显式上风数值通量来处理声弹性界面的边界条件。为评估该方法的准确性和收敛性,提供了一些数值结果。在平面界面耦合模型中进行了收敛分析,在曲面界面耦合模型中验证了所提方法的准确性。最后,本研究受实际地球物理应用的启发,建立了一个更为复杂的盐穹顶模型。数值结果表明,所提出的节点非连续 Galerkin 方法对于处理具有复杂几何形状的声弹耦合介质是有效和准确的。
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来源期刊
Geophysical Prospecting
Geophysical Prospecting 地学-地球化学与地球物理
CiteScore
4.90
自引率
11.50%
发文量
118
审稿时长
4.5 months
期刊介绍: Geophysical Prospecting publishes the best in primary research on the science of geophysics as it applies to the exploration, evaluation and extraction of earth resources. Drawing heavily on contributions from researchers in the oil and mineral exploration industries, the journal has a very practical slant. Although the journal provides a valuable forum for communication among workers in these fields, it is also ideally suited to researchers in academic geophysics.
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