| 柱坐标系下任意埋藏源层状弹性半空间问题的奇异解 |
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| 引用本文： | 孟凡顺,陈运泰.柱坐标系下任意埋藏源层状弹性半空间问题的奇异解[J].地球物理学报,1997,40(4):512-521. |
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| 作者姓名： | 孟凡顺 陈运泰 |
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| 作者单位： | 1. 大庆石油学院, 安达 151400;
2. 国家地震局地球物理研究所, 北京 100081 |
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| 摘 要： | 通过方位角的Fourier变换及关于径向的Hankel变换，将柱坐标系下一般形式的弹性力学基本方程和本构方程转化为波数域内非齐次的二阶常微分方程组，利用初参数法，建立了介质层传递矩阵．利用层间完全接触条件，给出了任意埋藏源层状弹性半空间频域奇异解，时域奇异解可通过关于频率的Fourier积分得到，该方法可应用到固体、流体层的情况.
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| 关 键 词： | 柱坐标系 任意埋藏源 层状介质 传递矩阵 快速Hankel变换 奇异解 |
SINGULAR SOLUTIONS OF A LAYERED HALF-SPACE TO AN ARBITRARY BURIED SOURCE IN CYLINDRICAL COORDINATES |
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| MENG FAN-SHUN ,GUO HAI-YAN, CHEN YUN-TAI, WANG CHUN-YONG.SINGULAR SOLUTIONS OF A LAYERED HALF-SPACE TO AN ARBITRARY BURIED SOURCE IN CYLINDRICAL COORDINATES[J].Chinese Journal of Geophysics,1997,40(4):512-521. |
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| Authors: | MENG FAN-SHUN GUO HAI-YAN CHEN YUN-TAI WANG CHUN-YONG |
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| Institution: | 1. Daqing petroleum Institute, Anda 151400, China;
2. Institute of Geophysics. SSB, Beijing 100081, China |
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| Abstract: | A method to calculate the dynamic three-dimensional response of a layered halfspace to an arbitrary buried source is presented. The frequency-domain formulation isbased on representing the complete response in terms of semi-infinite integrals with respect to wavenumber after expansion in a Fourier series with respect to azimuth.Transfer matrixes within layered media are derived. Time-domain results may be obtained by Fourier synthesis over frequency. The procedure is valid for all frequencies in the rang of interest. The presented method can be applied to solid and fluid layers. |
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| Keywords: | Cylindrical coordinates Arbitrary buried source Layered media Transfer matrix Fast Hankel transform Singular solution |
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