| 基于积分方程正则化的重力异常超定问题解法 |
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| 引用本文： | 沈云中,许厚泽.基于积分方程正则化的重力异常超定问题解法[J].同济大学学报(自然科学版),2002,30(11):1337-1341. |
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| 作者姓名： | 沈云中 许厚泽 |
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| 作者单位： | 1. 同济大学,测量与国土信息工程系,上海,200092
2. 中国科学院,测量与地球物理研究所,湖北,武汉,430077 |
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| 基金项目： | 国家自然科学基金资助项目(49634140) |
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| 摘 要： | 地球重力场的观测信息越来越丰富，求稳重力异常的超定模型将具有实用价值，据此给出了基于第一类Fredholm型积分方程离散型解法求解重力异常的超定模型，建立了地面重力、测高数据、重力梯度和垂线偏差求解重力异常的观测方程，并给出求解病态观测方程的正则化算法。
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| 关 键 词： | 积分方程 重力异常 地球重力场 超定问题 正则化算法 离散型解法 |
| 文章编号： | 0253-374X(2002)11-1337-05 |
| 修稿时间： | 2001年11月20 |
Over-determined Model for Computing Gravity Anomaly Based on Regularization Solution of Discrete Integration Eguation |
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| SHEN Yun - zhong,XU Hou - ze.Over-determined Model for Computing Gravity Anomaly Based on Regularization Solution of Discrete Integration Eguation[J].Journal of Tongji University(Natural Science),2002,30(11):1337-1341. |
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| Authors: | SHEN Yun - zhong XU Hou - ze |
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| Abstract: | There are more and more types of observations about the earth s gravity field, therefore, the over determined model of computing gravity anomaly has the value to be used in practice. This paper introduces the over determined model to compute gravity anomaly based on the discrete solution of the first kind Fredholm integration equation, establishes the observational equations of computing gravity anomaly with gravity data, satellite altimetry data,gravity tensor and the deflection of the vertical. Because of the observational equation ill - posed, its regularization solution is also discussed in this paper. |
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| Keywords: | earth's gravity field over determined problem regularization solution |
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