| 摘要: |
| 为从海洋重磁测网的观测资料中确定并扣除各测线含有的系统误差（即测网的调差），本研究对调差方法进行理论研究。结果为：1）根据统计学原理，建立由测网交点差确定各测线的系统偏差的方程组[见文中式（4）和（6）]。2）证明它与根据最小二乘法原理使测网精度调到最佳时所生成的方程组是同一个方程组。3）证明此方程组有无穷多组解，并且任意两组解之间相差一个常数[见式（14）]。4）证明需要也只需要增加一个控制条件就能使此方程组有唯一确定的解。5）推荐一个有用的控制条件即式（20），并导出方程组在此控制条件下的公式解，即式（25），（26）和（27）。 |
| 关键词: 测网 交点差 线偏差 |
| DOI： |
| 分类号: |
| 基金项目:“八五”国家科技攻关项目，85-904-01-03号 |
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| SOME THEORIETICAL STUDIES ON THE ADJUSTMENT OF MARINE GRAVITY AND GEOMAGNETICS SURVEY NETWORK |
|
Fan Shouzhi
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Institute of Oceanology, Chinese Academy of sciences, Qingdao 266071
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| Abstract: |
| To determine and remove the systematic errors in data of each survey line of marine gravity and geomagnetic network, i. e. to do network adjustment, this theorietical study presents some results: 1. Statistical principles were applied to set up an equation system to determine the systematic errors in each line of a survey network from the discrepances at its cross—over points, as described by (4) and (6) in this paper. 2. The equation system was proved to be identical to that set up by using the least—square method to adjust the network to get its best accuracy. 3- This equation system has an infinite number of solutions, with the difference in values between two solutions being a constant for every line, as described by (14). 4. Also, it is indicated that one, and only one, additional control condition is needed to make the solution unique. 5. A useful control condition, called F-minimum condition, described by (20), is recommended in this paper. The unique solution under this condition is given in the formulas (25), (26) and (27). |
| Key words: Network, Discrepancy, Line offset |
