| 弹性波数值模拟的延迟边界方法 |
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| 引用本文： | 田小波,吴庆举,曾融生.弹性波数值模拟的延迟边界方法[J].地球物理学报,2004,47(2):268-273. |
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| 作者姓名： | 田小波 吴庆举 曾融生 |
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| 作者单位： | 中国科学院地质与地球物理研究所,北京,100029;中国地震局地球物理研究所,北京,100081 |
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| 基金项目： | 国家自然科学基金项目 ( 4 99740 2 1、40 2 740 2 9) |
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| 摘 要： | 在地震波场的波动方程数值模拟中，由于计算量的限制，必须加入人为的边界，使模拟计算可以在一定的空间范围内进行. 由于边界节点上的波场值不能像模拟区域内部的节点一样使用中心差分来计算，使其计算精度大大降低，从而产生边界反射. 为了消除边界反射，本文提出了延迟边界方法，根据弹性波在传播方向上等距离质点的等相位延迟性质和振幅衰减特性，由内部波场的时空分布，推算出边界波场的相位延迟的大小和振幅衰减系数，从而提高边界节点上的波场值计算精度，消除边界反射的产生.
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| 关 键 词： | 波场数值模拟 延迟边界 相位延迟 振幅衰减 |
| 文章编号： | 0001-5733(2004)02-0268-06 |
| 收稿时间： | 2002-11-7 |
| 修稿时间： | 2003-11-7 |
Delay boundary conditions for elastic wave modeling |
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| TIAN Xiao-Bo WU Qing-Ju ZENG Rong-Sheng Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing ,China Institute of Geophysics,China Seismological Bureau,Beijing ,China.Delay boundary conditions for elastic wave modeling[J].Chinese Journal of Geophysics,2004,47(2):268-273. |
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| Authors: | TIAN Xiao-Bo WU Qing-Ju ZENG Rong-Sheng Institute of Geology and Geophysics Chinese Academy of Sciences Beijing China Institute of Geophysics China Seismological Bureau Beijing China |
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| Institution: | 1.Institute of Geology and Geophysics， Chinese Academy of Sciences， Beijing 100029， China 2 Institute of Geophysics，China Seismological Bureau， Beijing 100081， China |
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| Abstract: | In numerical modeling of elastic wave equations, an artificial boundary must be given around the area in which the wave propagation is interesting. Unlike the wave filed within the boundary, the wave filed on the boundary cannot be calculated using the center difference method, thus the numerical calculation precision is decreased greatly, as a result reflection is generated. To remove the reflection generated on the boundary, a delay boundary condition method is proposed in this paper. On the basis of the fact that there are the same phase-delay and the same coefficient of amplitude attenuation on equidistant particles in the direction of the wave propagation, the phase-delay and the coefficient of amplitude attenuation on the boundary can be calculated using the wavefield within the boundary, thus the precision of the wave field on the boundary is improved and the reflection is avoided. |
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| Keywords: | Numerical modeling of wave field Delay boundary conditions Phase-delay Amplitude attenuation |
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