| 基于递归积分的复频移PML弹性波方程交错网格高阶差分法 |
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| 引用本文： | 张显文, 韩立国, 黄玲, 李翔, 刘前坤. 基于递归积分的复频移PML弹性波方程交错网格高阶差分法[J]. 地球物理学报, 2009, 52(7): 1800-1807, doi: 10.3969/j.issn.0001-5733.2009.07.014 |
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| 作者姓名： | 张显文 韩立国 黄玲 李翔 刘前坤 |
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| 作者单位： | 1 吉林大学地球探测科学与技术学院,长春 130026; 2 中国航空物探遥感中心,北京 100083 |
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| 基金项目： | 国家重点基础研究发展规划(973计划) |
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| 摘 要： | 常规完全匹配吸收边界(PML)对以近掠射角入射到界面上的波以及低频波、损耗波都会产生虚假边界反射.基于递归积分的不分裂复频移PML算法，利用复频移拉伸函数，极大地改善了PML边界条件的性能，我们进一步推导出基于递归积分的不分裂复频移PML弹性波方程交错网格高阶差分法，对长条形介质模型进行数值模拟，与常规PML算法进行比较说明该算法对以掠射角入射到PML界面的波以及PML层内损耗波的吸收效果.
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| 关 键 词： | 交错网格 高阶有限差分 完全匹配层 递归积分 |
| 收稿时间： | 2008-08-23 |
| 修稿时间： | 2008-05-28 |
A staggered-grid high-order difference method of complex frequency-shifted PML based on recursive integration for elastic wave equation |
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| ZHANG Xian-Wen, HAN Li-Guo, HUANG Ling, LI Xiang, LIU Qian-Kun. A staggered-grid high-order difference method of complex frequency-shifted PML based on recursive integration for elastic wave equation[J]. Chinese Journal of Geophysics (in Chinese), 2009, 52(7): 1800-1807, doi: 10.3969/j.issn.0001-5733.2009.07.014 |
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| Authors: | ZHANG Xian-Wen HAN Li-Guo HUANG Ling LI Xiang LIU Qian-Kun |
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| Affiliation: | 1 College of Geoexploration Science and Technology, Jilin University, Changchun 130026, China; 2 China Aero Geophysical Survey & Remote Sensing Center for Land and Resource, Beijing 100083, China |
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| Abstract: | The classical PML algorithm will make spurious reflection for the waves being incident on the PML interface at near-grazing angles and the evanescent waves within PML. We adopt a nonsplit complex frequency-shifted PML method based on recursive integration, which includes the complex frequency-shifted stretching function and substantially improves the performance of the PML boundary condition. Furthermore, we derive a nonsplit staggered-grid higher-order difference method of complex frequency-shifted PML based on recursive integration for elastic wave equation. Compared to the classical PML, the results of models with an elongated domain show the absorption performance to both body waves with grazing incidence and evanescent waves within PML. |
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| Keywords: | Staggered-grid Higher-order finite difference Perfectly matched layer Recursive integration |
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