修正的位移不连续法用于地震波在薄层节理岩体上的传播

GEOPHYSICS Pub Date : 2024-04-13 DOI:10.1190/geo2023-0390.1
M. Wang, L. Jia, G.Y. Li, W. Wang, L. Fan
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摘要

利用修正位移不连续法(M-DDM)研究地震波在薄层节理岩体上的传播对地球物理勘测具有重要意义。M-DDM 引入了随频率变化的有效刚度来描述薄层节理的动态应力闭合关系。本研究验证了 M-DDM 在研究地震波在薄层节理岩体中传播时的准确性。随后,我们评估了节理厚度和入射波频率对 M-DDM 精确度的影响。我们分析了利用 M-DDM 获得的透射系数的预测误差。结果表明,与频率相关的有效接头刚度随入射波频率的增加而增加,随接头厚度的增加而减小。与传统的 DDM 相比,M-DDM 能更准确地预测地震波在薄层接缝中传播时的透射系数。基于 M-DDM 得出的透射系数预测误差随着接头厚度和入射波频率的增加而增加,并且始终小于基于 DDM 得出的误差。因此,我们提出的 M-DDM 可用于有效研究地震波在薄层节理岩体上的传播。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A modified displacement discontinuity method for seismic wave propagation across rock masses with thin-layer joints
The seismic wave propagation across rock masses with thin-layer joints by modified displacement discontinuity method (M-DDM) is of great importance for geophysical surveys. M-DDM introduces a frequency-dependent effective stiffness to describe the dynamic stress–closure relationship of a thin-layer joint. The study verifies the accuracy of M-DDM in studying seismic wave propagation across rock masses with thin-layer joints. Subsequently, we evaluate the influence of the joint thickness and the incident wave frequency on M-DDM accuracy. We analyze the prediction error of the transmission coefficient obtained with M-DDM. The results demonstrate that the frequency-dependent effective joint stiffness increases with increasing incident wave frequency and decreases with increasing joint thickness. Compared with the traditional DDM, M-DDM more accurately predicts the transmission coefficients of seismic waves propagating across thin-layer joints. The transmission coefficient prediction error obtained based on M-DDM increases with increasing joint thickness and incident wave frequency and is always smaller than that obtained based on DDM. Therefore, our proposed M-DDM can be used to effectively investigate seismic wave propagation across rock masses with thin-layer joints.
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