极坐标系中复杂自由表面地形的地震波场传播建模超集网格有限差分算法

IF 2.8 3区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS
Hengkang Qiu, Yao-Chong Sun, Changjiang Fang, Wei Zhang, Xiaofei Chen
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引用次数: 0

摘要

摘要 目前,有限差分法已被广泛应用于模拟具有复杂地形的局部地震模型中的地震波场传播,其方法是在直角坐标系中利用曲线网格和牵引图像法。对于极坐标系下的全局地震模型,传统的有限差分法在处理中心网格奇异性和顶部地形自由面时仍面临挑战。在本研究中,我们开发了一种极坐标有限差分方法,用于二维全局模型中的地震波场传播。在所提出的有限差分法中,使用了超集网格算法来处理中心的网格奇异性,并应用了曲线网格技术和牵引图像法来实现复杂地形上的自由面边界条件。通过比较合成波形和参考解,在平面和地形自由表面模型中验证了所提出的有限差分法。利用有限差分法计算了地震波场在真实火星剖面中的传播。所提出的有限差分法是在极坐标系中对具有复杂自由表面地形的地震波建模的一种高效而精确的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An overset-grid finite-difference algorithm for seismic wavefield propagations modelling in the polar coordinate system with a complex free-surface topography
Summary Nowadays, finite-difference method has been widely applied to simulate seismic wavefield propagation in a local seismic model with a complex topography by utilizing curvilinear grids and traction image method in Cartesian coordinates system. For a global seismic model in polar coordinate system, it is still a challenge for the conventional finite-difference method to deal with the grid singularity at the center and the topographic free surface at the top. In this study, we develop a finite-difference method in polar coordinates for seismic wavefield propagation in the 2D global model. In the proposed finite-difference method, the overset-grid algorithm is used to handle the grid singularity at the center, and the curvilinear grid technique as well as the traction image method are applied to implement free-surface boundary condition on the complex topography. The proposed finite-difference method is validated in flat and topographic free-surface models by comparing synthetic waveforms with reference solutions. The seismic wavefield propagation in a realistic Mars profile is computed by the proposed finite-difference method. The proposed finite-difference method is an efficient and accurate method for seismic wave modeling in the polar coordinate system with a complex free-surface topography.
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来源期刊
Geophysical Journal International
Geophysical Journal International 地学-地球化学与地球物理
CiteScore
5.40
自引率
10.70%
发文量
436
审稿时长
3.3 months
期刊介绍: Geophysical Journal International publishes top quality research papers, express letters, invited review papers and book reviews on all aspects of theoretical, computational, applied and observational geophysics.
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