| 两相饱和介质中的集中力点源位移场解与应用 |
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| 引用本文： | 丁伯阳,樊良本,吴建华. 两相饱和介质中的集中力点源位移场解与应用[J]. 地球物理学报, 1999, 42(6): 800-808 |
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| 作者姓名： | 丁伯阳 樊良本 吴建华 |
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| 作者单位： | 1. 中国地震局兰州地震研究所 兰州 730000;2. 浙江工业大学土木系 杭州 310014; |
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| 摘 要： | 通过两相饱和介质Ｂｉｏｔ方程变换，利用势场分解较好地解决了饱和两相介质中Ｐ１和Ｐ２波的耦合问题．再由Ｐｏｉｓｓｏｎ方程和Ｈｅｌｍｈｏｔｚ方程的特性，求解得到两相饱和介质在集中力点源作用下的位移场Ｇｒｅｅｎ函数，进而通过阶跃函数和Ｆｏｕｒｉｅｒ逆变换，求得两相介质在集中力．作用下的波场．由上述结果，根据扩容进水模型，合理地解释了孕震前各主要阶段在地震记录中垂直向振幅与振幅比统计值的变化．最后结合工作实例，利用两相介质波场理论求得由一般弹性介质理论不易求得的骨架固体力学参数．
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| 关 键 词： | 两相介质 集中力 波场 Green函数 |
| 收稿时间： | 1999-06-30 |
THE GREEN FUNCTION AND WAVE FIELD ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE |
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| DING BO-YANG ,FAN LIANG-BEN, WU JIAN-HUA. THE GREEN FUNCTION AND WAVE FIELD ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE[J]. Chinese Journal of Geophysics, 1999, 42(6): 800-808 |
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| Authors: | DING BO-YANG FAN LIANG-BEN WU JIAN-HUA |
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| Affiliation: | 1. Lanzhou Earthquake Research Institute, C.S.B. Lanzhou 730000, China;2. Zhejiang Industrial University, Huangzhou 310014, China |
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| Abstract: | Divided the force potency field of the pore-medium, through thansform two-phaseSaturated Biot's equation, authors resolved the coupling P1 and P2 wave in theequation. According to Poisson's equation and Helmholtze's equation, the Greenfunction of the concentrated force on two-phase saturated medium was shown in thispaper. Therefore authors can use unit function and inverse Fourier transform to getwave field by the concentrated force. In comparison the DD model with the resultmentioned above, authors explaned the change about the vertical amplitude and thestatistical value of the amplitudes ratio, moreover the exsample about how gettion thebulk material parameter in engineering was given. |
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| Keywords: | Two-phase saturated medium Concentrated force Wave field Greenfunction. |
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