| 井孔声场的本征模及其在分层介质井孔声场计算中的应用 |
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| 引用本文： | 王秀明 张海澜. 井孔声场的本征模及其在分层介质井孔声场计算中的应用[J]. 地球物理学报, 1998, 41(2): 261-271 |
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| 作者姓名： | 王秀明 张海澜 |
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| 作者单位： | 1. 大庆石油学院,黑龙江安达 151400;2. 中国科学院声学研究所,北京 100080 |
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| 基金项目： | 国家自然科学基金!19574064 |
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| 摘 要： | 研究无穷大介质中的井孔本征模问题．从有限半径的波导出发，分析半径无限增大的极限情况，证明无穷大介质中的井孔有离散和连续两类本征模，组成正交完备基．进而应用它们分析计算分层介质中井孔的声场，算得孔外分层介质在孔内产生的反射波．
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| 关 键 词： | 分层介质 井孔声场 本征模 |
| 收稿时间： | 1996-09-02 |
RESONANT MODES AND THEIR APPLICATION IN CALCULATION OF ACOUSTIC FIELDS OF BOREHOLES IN LAYERED MEDIA |
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| WANG XIU-MING. RESONANT MODES AND THEIR APPLICATION IN CALCULATION OF ACOUSTIC FIELDS OF BOREHOLES IN LAYERED MEDIA[J]. Chinese Journal of Geophysics, 1998, 41(2): 261-271 |
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| Authors: | WANG XIU-MING |
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| Affiliation: | 1. Daqing Petroleum Institute, Heilongjiang Anda 151400, China;2. Institute of Acoustics , Academia Sinica, Beijing 100080, China |
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| Abstract: | The resonant modes of boreholes in an infinite medium are studied. By extendingan artificial large radius introduced in previous references, it is proved that there aretwo different kinds of modes in the borehole in an infinite media, discrete andcontinuous, forming a complete orthogonal base, which is used to analyze the acousticfield in borehole in layered media. The reflected wave in the borehole by the interfaceoutside the borehole is calculated first bine. |
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| Keywords: | Layered media Acoustic field in borehole Resonant mode |
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