| 利用广义反射-透射系数方法求解含低速层水平层状介质模型中面波频散曲线问题 |
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| 引用本文： | 何耀锋,陈蔚天,陈晓非.利用广义反射-透射系数方法求解含低速层水平层状介质模型中面波频散曲线问题[J].地球物理学报,2006,49(4):1074-1081. |
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| 作者姓名： | 何耀锋 陈蔚天 陈晓非 |
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| 作者单位： | 计算地球动力学实验室，北京大学地球与空间科学学院，北京〓100871 |
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| 基金项目： | 国家自然科学基金项目（40134010,40521002）资助. |
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| 摘 要： | 在计算面波频散问题的广义反射-透射系数方法基础上研究了含有低速层的均匀平层固体地球模型的面波的频散曲线以及简正振型的计算问题. 当不存在低速层时，仅利用陈晓非1993年提出的单一的久期函数对求解这两个问题已经足够. 但是当模型中存在低速层时，该单一久期函数在数值求解较低阶模式很困难. 本文提出用久期函数族代替该单一久期函数、对不同的简正振型模式采用对应的久期函数来求解的方法，从而更加容易有效地求解较低阶的模式，完善了利用广义反射-透射系数方法求解面波频散问题的理论和算法.
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| 关 键 词： | 广义反射透射系数 面波 频散曲线 低速层 久期函数 |
| 文章编号： | 0001-5733（2006）04-1074-08 |
| 收稿时间： | 2005-06-02 |
| 修稿时间： | 2005-06-022006-04-03 |
Normal mode computation by the generalized reflection_transmission coefficient method in planar layered half space |
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| HE Yao-Feng,CHEN Wei-Tian,CHEN Xiao-Fei.Normal mode computation by the generalized reflection_transmission coefficient method in planar layered half space[J].Chinese Journal of Geophysics,2006,49(4):1074-1081. |
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| Authors: | HE Yao-Feng CHEN Wei-Tian CHEN Xiao-Fei |
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| Institution: | Laboratory of Computational Geodynamics, School of Earth and Space Sciences, Peking University, Beijing 100871, China |
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| Abstract: | We present a new approach to calculation of dispersion curves and normal mode solutions of multilayered solid earth model with low velocity layers based on the generalized reflection-transmission coefficient method. It is efficient to tackle these two problems by utilizing the single top-layer secular function proposed by Chen in 1993. However, some lower order modes are difficult to be obtain by merely using the single top-layer secular function due to numerical singularity while the earth model contains low velocity layers. In this paper, we propose using the secular function set, instead of the single secular function, to solve this problem. With the secular function set, different modes can be calculated respectively through corresponding secular functions. Numerical experiments show that the new approach is efficient, stable and reliable, thus it makes the generalized reflection-transmission coefficient method applicable to computation of normal modes in various stratified earth models. |
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| Keywords: | Generalized reflection-transmission coefficient Surface wave Dispersion curve Low-velocitylayer Secular function |
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