| VTI介质起伏地表地震波场模拟 |
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| 引用本文： | 兰海强,刘佳,白志明.VTI介质起伏地表地震波场模拟[J].地球物理学报,2011,54(8):2072-2084. |
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| 作者姓名： | 兰海强 刘佳 白志明 |
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| 作者单位： | 1. 中国科学院地质与地球物理研究所,岩石圈演化国家重点实验室,北京 100029;
2. 中国科学院研究生院,北京 100049 |
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| 基金项目： | 国家科技重大专项(2008ZX05008-006-4)、中国科学院知识创新工程重要方向项目(KZCX2-YW-l32)和国家自然科学基金(41074033)联合资助. |
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| 摘 要： | 起伏地表下地震波场模拟有助于解释主动源和被动源地震探测中穿过山脉和盆地的测线所获得的资料.然而传统的有限差分法处理起伏的自由边界比较困难,为了克服这一困难,我们将笛卡尔坐标系的各向异性介质弹性波方程和自由边界条件变换到曲线坐标系中,采用一种稳定的、显式的二阶精度有限差分方法离散(曲线坐标系)VTI介质中的弹性波方程；对...
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| 关 键 词： | 起伏地表 各向异性 曲线网格 波场模拟 有限差分 |
| 收稿时间： | 2011-01-01 |
Wave-field simulation in VTI media with irregular free surface |
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| LAN Hai-Qiang,LIU Jia,BAI Zhi-Ming.Wave-field simulation in VTI media with irregular free surface[J].Chinese Journal of Geophysics,2011,54(8):2072-2084. |
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| Authors: | LAN Hai-Qiang LIU Jia BAI Zhi-Ming |
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| Institution: | 1. State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029,China;
2. Graduate School of Chinese Academy of Sciences, Beijing 100049,China |
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| Abstract: | Modeling of seismic wave propagation in anisotropic media with irregular topography is a powerful tool that may help to interpret seismic data acquired by active and passive source seismology conducted in areas of interest like mountain ranges and basins. The major challenge in this context is the numerical implementation of the free-surface boundary condition. To implement the free-surface boundary condition, we use the boundary-conforming grid and transform a rectangular grid onto a curved grid. We use a stable and explicit second-order finite difference scheme to discretize the elastic wave equations (in a curvilinear coordinate system) in heterogeneous anisotropic medium. The free-surface boundary conditions are numerically implemented by introducing a discretization that uses boundary-modified difference operators for the mixed derivatives in the governing equations. The accuracy of the proposed method is checked by comparing the numerical results obtained by the trial algorithm with the analytical solution of the Lamb's problem, for a transversely isotropic medium with a vertical symmetry axis. Efficiency tests performed by different numerical experiments illustrate clearly the influence of an irregular (non-flat) free surface on seismic wave propagation. |
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| Keywords: | Irregular free surface anisotropy Curvilinear grids Wave-field simulation Finite-difference |
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