| 二维不均匀介质中点源P-SV波响应的有限差分近似算法 |
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| 引用本文： | 谢小碧,姚振兴.二维不均匀介质中点源P-SV波响应的有限差分近似算法[J].地球物理学报,1988,31(5):540-555. |
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| 作者姓名： | 谢小碧 姚振兴 |
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| 作者单位： | 中国科学院地球物理研究所 北京 |
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| 摘 要： | 本文从一阶方程组形式的波动方程出发,发展了一种计算二维不均匀介质中点源P-SV波响应的近似方法。该方法通过引入线分布的应力作为震源,利用二维有限差分方法计算出线源响应,然后再经过波形校正和几何扩散校正得出相应的近似点源响应。通过把波形和振幅与精确解比较表明,该方法具有较好的精度。由于有限差分方法对于介质中速度和密度的分布没有特殊要求,另一方面,本文所给出的震源可以适用于位错点源、爆炸源或集中力源,因此上述方法十分适合于研究横向不均匀介质中的近场强地运动、爆炸振动或地震勘探等问题。
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| 关 键 词： | 横向不均匀介质 有限差分方法 合成地震图 位错震源 |
| 收稿时间： | 1987-08-06 |
P-SV WAVE RESPONSES FOR A POINT SOURCE IN TWO-DIMENSIONAL HETEROGENEOUS MEDIA:FINITE-DIFFERENCE METHOD |
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| XIE XIAO-BI YAO ZHEN-XING.P-SV WAVE RESPONSES FOR A POINT SOURCE IN TWO-DIMENSIONAL HETEROGENEOUS MEDIA:FINITE-DIFFERENCE METHOD[J].Chinese Journal of Geophysics,1988,31(5):540-555. |
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| Authors: | XIE XIAO-BI YAO ZHEN-XING |
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| Institution: | Institute of Geophysics, Academia Sinica, Beijing |
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| Abstract: | A method for producing approximate point source P-SV wave responses in laterally varying model is introduced. The method is based on the first-order system of wave equations for the velocities and stresses. At first, we introduce the linearly distributed stress tensors as the source and by means of two-dimentional finite-difference scheme to produce the response of this source, then the point source response is generated by correcting Loth the wave forms and geometrical spreading for the linear response. The accuracy of this approximation is justified by comparing the numerical results with the more accurate results. Because and of the dislocation source, explosion source or concentrated body force may be simulated by the sources mentioned above, also, because the finite-difference method has the advantage that arbitrary velocity and density structure in the media may be specified, the method seems to be effective for the problems such as the near field strong ground motions, explosive vibrations and exploration seismology. |
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| Keywords: | Waves in laterally varying media Finite-difference method Synthetic seis-rnograms Dislocation source |
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