| 存在流体介质夹层时瑞利波频散曲线的完整求解 |
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| 引用本文： | 杨天春,肖巧玲.存在流体介质夹层时瑞利波频散曲线的完整求解[J].物探与化探,2009,33(1):80-84. |
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| 作者姓名： | 杨天春 肖巧玲 |
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| 作者单位： | 1. 湖南科技大学,土木工程学院,湖南,湘潭,411201
2. 湖南科技大学,机电工程学院,湖南,湘潭,411201 |
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| 基金项目： | 湖南省教育厅资助项目 |
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| 摘 要： | 应用介质分界面上位移应力连续性的变化关系,采用δ矩阵法和固体层状介质中的瑞利波频散方程,推导了含流体介质夹层情况下瑞利波的频散方程。利用推导的频散方程对理论模型进行模拟计算,并与以往文献计算方法进行比较,模拟结果吻合较好,验证了公式的正确性;同时,模拟计算结果也说明了本文公式的普遍适用性和计算结果的完整性。根据文中对4个理论模型的模拟结果来看,与固体层状介质的情况相比,当存在流体夹层时,瑞利波频散曲线模式中多出了一个文中定义的0阶模式,在今后的多道瞬态瑞利波法应用中,应该可以将其看成是流体介质夹层存在的标志性曲线。
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| 关 键 词： | 瑞利波 频散 流体 固体 空洞 |
| 收稿时间： | 2007-11-01 |
THE CALCULATION OF DISPERSION CURVES OF RAYLEIGH WAVES
IN THE EXISTENCE OF FLUID MULTILAYERED MEDIA |
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| YANG Tian-chun,XIAO Qiao-ling.THE CALCULATION OF DISPERSION CURVES OF RAYLEIGH WAVES
IN THE EXISTENCE OF FLUID MULTILAYERED MEDIA[J].Geophysical and Geochemical Exploration,2009,33(1):80-84. |
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| Authors: | YANG Tian-chun XIAO Qiao-ling |
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| Institution: | 1.College of Civil Engineering, Hunan University of Science and Technology, Xiangtan411201, China; 2. College of Electromechanical Engineering, Hunan University of Science and Technology, Xiangtan411201, China |
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| Abstract: | Based on the conditions of displacement and stress on interfaces and applying the δ matrix method and the dispersion equation in solid multilayered media, the authors deduced the dispersion equation in the existence of fluid multilayered media. A quantitative agreement was reached between the deduced equation and some previous researchers' equations. The modeling results show the correctness and universality of the deduced equation and the integrality of the calculating results. When the multilayered media contain fluids, the dispersion curves assume the zero mode curve which is inexistent in solid multilayered media. The zero mode curves can be regard as a sign of the existence of fluid interlayer in multi channel analysis of surface waves (MASW). |
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| Keywords: | Rayleigh waves dispersion fluid solid cavity |
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