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。
Irregular network is of importance in marine gravity and geornagneticssurveyings. A group of survey lines K1, K2, , Km crosses over another group of lines L,1,L2, '', Ln not completey, as seen in Fig. l, To determine and remve the line offsetsWhich are systematihc errors in data of each line, and are denoted as A1,, A2,, '', Am. andB1,, B2, '', Bn, some theoretical results in this study are as ffollows' l. Statistical prindpleswere 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 dimpancies at those real and Knowncross-over points in the network. 2- The equation system was proved to be identical tothat set up by using the least-square method to adjust the network to get its ha accura-Cy. 3. This equation system has an infinite number of mathematical solutions, with the differenc in values betwan two solutions being a constant for every line, as described by formula (l3)' 4' It is also proved that one and only one addihonal control condition isneeded for getting a definite solution for a specific network and that the control conditionshould sahsfy the inqualify Ω≠0 if it is a linear equatipn itself , as desribed by (l4) and(l5). 5' Further more, an' F-minimum requirement' is recommended, which can pro-duce a linear control condition described by formula (27), and provides a useful way tocarry out adjustment for any irregular network by combining (27) with (6) and (7) afterdeleting any one equation from (6) or (7)'
出处
《海洋与湖沼》
CAS
CSCD
北大核心
1997年第3期303-309,共7页
Oceanologia Et Limnologia Sinica
基金
"八五"国家科技攻关项目!85-904-01-03
