| 声波测井中的广义反射、透射系数方法 |
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| 引用本文： | 姚振兴,郑天愉.声波测井中的广义反射、透射系数方法[J].地球物理学报,1985,28(5):510-518. |
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| 作者姓名： | 姚振兴 郑天愉 |
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| 作者单位： | 中国科学院地球物理研究所 |
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| 摘 要： | 本文将广义反射、透射系数矩阵方法推广用于研究声法测井中的声波传播问题.结果表明,测井中的声场解可以表示成无数条广义声线的叠加.任意一条广义声线的积分表达式,则可根据每一条声线段的性质,由各反射界面上的广义反射、透射系数直接给出.这种表示方法特别适用于研究和识别声波记录图中各种“震相”的性质.当计算全波声场时,由于本文将声场计算中的被积函数形式上分解成一系列（2×2）子矩阵的乘积,并给出了相应的迭代公式,从而可以用较快的速度进行计算.
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| 关 键 词： | 透射系数 声线 声波测井 声场 声法 分界面 振幅 介质层 全波测井 迭代公式 |
| 收稿时间： | 1984-06-11 |
THE GENERALIZED REFLECTION-TRANSMISSION COEFFICIENT METHOD IN ACOUSTIC WELL LOGGING |
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| YAO ZHEN-XING,ZHENG TIAN-YU.THE GENERALIZED REFLECTION-TRANSMISSION COEFFICIENT METHOD IN ACOUSTIC WELL LOGGING[J].Chinese Journal of Geophysics,1985,28(5):510-518. |
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| Authors: | YAO ZHEN-XING ZHENG TIAN-YU |
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| Affiliation: | Institute of Geophysics, Academia Sinica |
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| Abstract: | The generalized reflection-transmission coefficient matrix method is developed to study the acoustic wave propagation in a layered cylindric symmetric medium. The solution of sound field in acoustic well logging can be expressed with the superposition of generalized acoustic rays. The integral representation for acoustic ray is constructed by the product of the generalized reflection-transmission coefficients corresponding to the specification of the generalized ray paths. This method is applicable for studying the properties of interesting 'seismic phase'. The iterative relations for calculating the integrands are given; it leads to efficient computational procedures for the acoustic well logging. |
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