| 摘要: |
| 不规则测网是海洋重磁调查中的重要情况之一。本文建立了利用测网中实交点处交点差的资料确定各测线资料中含有的系统偏差的方程组，证明了此方程组有无穷多组数学解，但通解公式中仅含有一个任意常数，因而需要也只需要引进一个附加的控制条件就能有确定的解；还确定了线性控制条件应满足的数学条件，并依F取极小值的原则推导出一个可用的线性控制条件，从而为不规则测网的线调差提供一条途径。 |
| 关键词: 不规则测网 交点差 线偏差 调差 |
| 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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| ADJUSTMENT OF IRREGULAR SURVEY NETWORK OF MARINE GRAVITY AND GEOMAGNETICS |
|
Fan Shouzhi
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Institute of Oceanology , Chinese Academy of Sciences, Qingdao 266071
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| Abstract: |
| Irregular network is of importance in marine gravity and geomagnetic surveying. A group of survey lines K1, K2,…Km crosses over another group of lines L1, L2, …, Ln not completely, as seen in Fig.1. To determine and remove the line offsets which are systematic errors in data of each line, and are denoted as A1, A2, …, Am, and B1, B2, …, Bn, some theoretical results in this study are as follows. 1. Statistical principles were applied to set up an equation system, described by (6) and (7) in the paper, to determine the values of A's and B's by using the discrepancies at those real and known crossover points in the network. 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 mathematical solutions, with the difference in values between two solutions being a constant for every line, as described by formula (13). 4. It is also proved that one and only one additional control condition is needed for getting a definite solution for a specific network and that the control condition should satisfy the inequality Ω≠0 if it is a linear equation itself as described by (14) and (15). 5. Furthermore, an “F-minimum requirement” is recommended, which can produce a linear control condition described by formula (27), and provides a useful way to carry out adjustment for any irregular network by combining (27) with (6) and (7) alter deleting any one equation from (6) or (7). |
| Key words: Irregular network, Discrepancy, Line offset, Adjustment |
