海洋磁力测量中测线系统差补偿的两步处理半参数模型
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摘要
针对海洋磁力测量中测线系统差补偿时,因系统差函数模型选取不恰当而导致的系统差补偿效果差问题,引入半参数回归分析理论,在两步处理法的测线滤波与推估中加入表示模型计算误差的非参数分量,以修正系统差函数模型的不足,进一步精化测线系统差补偿模型。实例计算与分析表明,两步处理的半参数模型能较好地统一测线间的磁场水平,明显提高测网精度,且测线系统差补偿效果好于常用的简单模型及经典的两步处理法,因此是一种简单有效的系统差补偿方法。
The improper function model of systematic errors can lead to compensating inaccurately in marine magnetic survey,the semiparametric regression analysis theory is introduced to the two-step processing method,a non-parametric component that represents the model error is added during processing line filtering and estimation,to correct the shortcomings of poor function compensation model of systematic errors,and further to improve the compensation effect of systematic errors. A practical survey data is calculated to prove the efficiency of the method,and it shows that the accuracy of the survey network is obviously improved after compensating by using two-step semiparametric model,and the compensation effect is better than the commonly used simple model and the classic two-step processing method.
The improper function model of systematic errors can lead to compensating inaccurately in marine magnetic survey,the semiparametric regression analysis theory is introduced to the two-step processing method,a non-parametric component that represents the model error is added during processing line filtering and estimation,to correct the shortcomings of poor function compensation model of systematic errors,and further to improve the compensation effect of systematic errors. A practical survey data is calculated to prove the efficiency of the method,and it shows that the accuracy of the survey network is obviously improved after compensating by using two-step semiparametric model,and the compensation effect is better than the commonly used simple model and the classic two-step processing method.
引文
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[15]边刚,金绍华,夏伟.线性插值的海洋磁力测量测线布设评价方法[J].测绘学报,2014,43(7):675-680.
[2]翟国君,黄谟涛.海洋测量技术研究进展与展望[J].测绘学报,2017,46(10):1752-1759.
[3]黄谟涛,翟国君,欧阳永忠,等.海洋磁力测量误差补偿技术研究[J].武汉大学学报(信息科学版),2006,31(7):603-606.
[4]中国人民解放军总装备部.海洋磁力测量要求:GJB7537—2012[S].北京:中国标准出版社,2012.
[5]孙海燕,吴云.半参数回归与模型精化[J].武汉大学学报(信息科学版),2002,27(2):172-174.
[6]孙海燕,潘雄.正规化矩阵正定时半参数估计量的统计性质[J].测绘学报,2004,33(3):228-232.
[7]丁士俊,陶本藻.自然样条半参数模型与系统误差估计[J].武汉大学学报(信息科学版),2004,29(11):964-967.
[8]丁士俊.测量数据的建模与半参数估计[D].武汉:武汉大学,2005.
[9]王守春,丁士俊,龚春龙,等.半参数模型在求解GPS正常高中的应用研究[J].测绘通报,2010(2):38-40.
[10]朱建军,田玉淼,陶肖静.带准则参数的平差准则及其统一与解算[J].测绘学报,2012,41(1):8-13.
[11]康双双.半参数模型在航空重力测线网平差中的应用研究[D].武汉:中国地质大学,2012.
[12]赵启龙,李建成,徐新禹,等.航空重力向下延拓的误差影响分析[J].测绘学报,2017,46(6):689-697.
[13]黄谟涛,翟国君,欧阳永忠,等.海洋重力测量误差补偿两步处理法[J].武汉大学学报(信息科学版),2002,27(3):251-255.
[14]欧阳永忠.海空重力测量数据处理关键技术研究[D].武汉:武汉大学,2013.
[15]边刚,金绍华,夏伟.线性插值的海洋磁力测量测线布设评价方法[J].测绘学报,2014,43(7):675-680.