| 局部地形改正的奇异积分研究 |
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| 引用本文： | 郭东美,许厚泽.局部地形改正的奇异积分研究[J].地球物理学报,2011,54(4):977-983. |
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| 作者姓名： | 郭东美 许厚泽 |
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| 作者单位： | 1. 中国科学院测量与地球物理研究所,武汉 430077;
2. 中国科学院动力大地测量学重点实验室,武汉 430077;
3. 中国科学院研究生院,北京 100049 |
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| 摘 要： | 现有的地形改正积分核函数存在奇异现象,使得积分在奇异点处不连续.针对此问题,本文提出了采用高斯积分法与核函数项增加常数因子级数展开法来解决这一难题,并推导了高斯积分法处理奇异积分的公式及含可选小常数的地形改正的严密级数展开式.同时文中采用最新公布的3″×3″高分辨率的SRTM3地形数据代替传统的GTOP030数据计算地...
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| 关 键 词： | 地形改正 奇异积分 高斯积分 SRTM3数据 |
| 收稿时间： | 2010-07-26 |
Research on the singular integral of local terrain correction computation |
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| GUO Dong-Mei,XU Hou-Ze.Research on the singular integral of local terrain correction computation[J].Chinese Journal of Geophysics,2011,54(4):977-983. |
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| Authors: | GUO Dong-Mei XU Hou-Ze |
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| Institution: | 1. Institute of Geodesy and Geophysics, Chinese Academy of Science, Wuhan 430077, China;
2. Key Laboratory of Dynamical Geodesy, Institute of Geodesy and Geophysics,CAS, Wuhan 430077, China;
3. Graduate University of the Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | The existing kernel of terrain correction(TC)computation is singular, which makes the integration discontinuous at the singular points. To solve this problem, Gaussian quadrature and the method of adding a constant factor to the kernel function are adopted to compute TC, and the function of Gaussian quadrature and the rigorous series expansion of the TC with a constant factor to the kernel function are derived in detail. In the paper, the latest SRTM3 data with high resolution(3″×3″) instead of GTOPO30 data are employed to calculate the TC, and a number of numerical examples are used to determine the choices of terms and constant of series expansion and the best inner and outer radii for Gaussian quadrature. Furthermore, the effect of the different singular integral methods and different DTM data on the TC is discussed. |
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| Keywords: | Terrain corrections Singular integral Gaussian quadrature SRTM3 data |
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