航空重力矢量测量数据向下延拓的理论与方法研究

项目来源

国家自然科学基金(NSFC)

项目主持人

刘晓刚

项目受资助机构

西安测绘研究所

项目编号

41774018

立项年度

2017

立项时间

未公开

项目级别

国家级

研究期限

未知 / 未知

受资助金额

69.00万元

学科

地球科学-地球物理学和空间物理学-物理大地测量学

学科代码

D-D04-D0401

基金类别

面上项目

关键词

向下延拓 ; 边界效应 ; 地形效应 ; 航空重力矢量测量 ; airborne vector gravimetry ; downward continuation ; boundary effect ; terrain effect

参与者

王兴涛;管斌;郭飞霄;张丽萍;马小辉;范昊鹏

参与机构

西安测绘研究所;中国人民解放军战略支援部队信息工程大学

项目标书摘要:本课题将紧密结合正在实施的航空重力矢量仪研制计划,研究航空重力矢量测量数据向下延拓的理论与方法。分析航空重力矢量测量数据的频谱特性,确定向下延拓的基准面;提出Poisson积分迭代法延拓思路,基于改进的Poisson积分离散化公式,建立改进的Poisson积分迭代法延拓模型;研究航空重力矢量水平分量的向下延拓技术或整个重力扰动矢量的向下延拓方法,寻求航空重力矢量测量数据向下延拓的边界效应抑制技术;推导地形起伏对航空重力矢量测量数据和地面重力数据影响的计算公式,建立顾及地形影响的航空重力矢量测量数据向下延拓的算法模型;分析延拓模型的病态性对于延拓结果的影响,确定航空重力矢量测量数据向下延拓模型的最优正则化参数;提出联合地面重力测量的航空重力矢量测量数据向下延拓的方法;给出高精度的航空重力矢量测量数据向下延拓结果,为不同类型重力测量数据的融合以及重力场模型构建提供高质量的基础数据和技术支撑。

Application Abstract: This task will combine with the development plan of airborne vector gravity sensor that is in the operation,research on the theory and methods of downward continuation of airborne vector gravimetry data.The spectral characteristics of airborne vector gravimetry data will be analyzed,and the downward continuation reference plane will be chosen.The Poisson integral iteration method will be proposed,and the improved Poisson integral iteration model based on the modified Poisson integral discretization formulae will be constructed.The downward continuation methods of horizontal component of airborne vector gravimetry data or the whole disturbing gravity data will be studied.The boundary effect suppressing technologies in the process of downward continuation of airborne vector gravimetry data will be searched.The influence formulae of terrain undulation on airborne vector gravimetry data and ground gravimetry data will be deduced,and the arithmetic model considering terrain effect in the process of downward continuation of airborne vector gravimetry data will be constructed.The influence of ill-posed problem to downward continuation results will be analyzed,and the optimal regularization parameter will be determined using L-curve method,U-curve method or assistant function.The downward continuation methods of airborne vector gravimetry data combining with ground gravimetry data will be proposed.The downward continuation results in high precision will be provided,it is of great significance both in scientific research and practice,and this will supply fundamental data and technology in high quality to fusion of different gravimetry data and construction of Earth’s gravity field model.

项目受资助省

陕西省

项目结题报告(全文)

我国的航空重力矢量测量仪样机已经研制成功,可以实现对重力场矢量信息的高效精密测量。因此,该系统数据处理成果的质量,直接关系到航空重力矢量测量系统的效能评估及产品的后期应用。向下延拓则是该系统数据处理中关键技术之一,可以将航空重力矢量数据的观测面外推到场源体附近,提高航空重力矢量测量数据解释的可靠性和应用的广泛性。本课题紧密结合正在实施的航空重力矢量仪研制计划,研究航空重力矢量测量数据向下延拓的理论与方法。构建了改进的Poisson积分迭代法延拓模型,可以修正传统Poisson积分离散化误差给延拓模型带来的病态性影响,对延拓模型本身的病态性也有一定的抑制作用。提出了余弦函数扩边技术,能够对缺少测量点的边界区域进行约束,具有较好的边界效应抑制效果。基于Helmert第二压缩法理论分析了地形起伏对空中和地面重力数据的影响,建立了联合重力位模型和地形数据的向下延拓算法模型,避免了传统延拓方法中存在的大型矩阵解算、正则化因子求解等诸多问题,同时考虑地形的影响后保留了更加完整的频谱信息。构建了解析法延拓模型,以点对点方式实现航空重力矢量数据的向下延拓,对计算机的性能要求较低。提出了向下延拓的等效源法,并提出采用“逐点解算位场剥离技术”实现矢量等效源模型的精确、快速建模,可大量节约计算时间,提高向下延拓的稳定性。研究了正则化延拓模型中的最优正则化因子确定方法,推导了对应的曲率函数计算模型,给出了正则化因子迭代计算的具体步骤。构建了联合地面重力控制点的向下延拓算法模型,可削弱航空重力矢量测量数据中系统误差的影响,对于边界效应也有一定的抑制作用。推导了Stokes函数非奇异的严密直接赋值模型,解决了经典Stokes函数赋值模型存在的奇异性问题,在构建空中重力矢量基准时具有明显的优越性。本项目的相关研究成果,可以为不同类型重力测量数据的融合、全球或区域地球重力场模型的构建、全球或区域(似)大地水准面的精化等应用提供高质量的基础数据和技术支撑。

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  • 1.高铁运行对于地磁匹配导航区地磁背景场的影响分析

    • 关键词:
    • 高铁;地磁匹配导航;背景场;地磁场;日变改正
    • 刘晓刚;王云鹏;管斌;马健
    • 《第十二届中国卫星导航年会》
    • 中国江西南昌
    • 会议

    地磁导航是利用地球上任意一点的磁场大小和方向进行匹配定位以实现导航的技术,与卫星、惯性、地形和无线电等导航手段相比,具有隐蔽性好、使用便捷、实用范围广等优点,在水下、室内和地下等空间具有广阔的应用前景。随着我国经济的快速发展,高速铁路深入到国家的各个角落,高铁为经济发展和人民出行带来便利的同时,却对地磁匹配导航区的地磁背景场测量带来了不利影响。高铁及其附属设施(如铁轨、电线杆、输电线、路灯、路栏等),会对磁力测量带来非常大的干扰,为了得到比较纯净的地磁背景场数据,需要测量获取高铁对于磁场环境的影响数据,从而对干扰磁场进行补偿。本文设计野外试验,在距离高速铁路100m内的不同位置设置测点,利用Overhauser高精度磁力仪,首次获得了高铁这种新型的交通工具在运行时对地磁背景场的影响数据;同时,勘选地磁环境变化平稳地区,架设地磁日变站,测量获得地磁日变数据;提出采用低通数字滤波技术来计算地磁日变站基值,可以更好地消除日变数据中的十分之几秒到几小时不等的各种短周期变化,获得更加精确的地磁日变改正值;对试验数据进行日变改正,分析测量数据的变化规律,从而获得高铁运营对地磁背景场的影响结果。本文的研究成果,不仅可以为地磁匹配导航区中地磁背景场图的构制提供参考,而且可以为磁力测量设备试验鉴定、磁力测量仪器定标场地选取及后期建设、新建地磁台站站址勘选及后期建设、磁力测量生产作业中干扰磁场补偿等提供技术支撑。

    ...
  • 2.航磁标量和矢量数据向下延拓的改进插值-迭代法

    • 关键词:
    • 航空磁力测量;向下延拓;插值-迭代法;地磁总强度;地磁矢量
    • 王云鹏;刘晓刚;肖云;庞振兴
    • 《第七届高分辨率对地观测学术年会》
    • 中国湖南长沙
    • 会议

    为实现航磁标量和矢量数据的向下延拓,提高延拓结果的应用效果,本文在传统插值-迭代法的基础上,增加了延拓数据滤波处理环节,进而提出了改进插值-迭代法,并利用模拟和实测数据验证了新方法的有效性,实验结果表明:(1)传统插值-迭代法存在明显的高频噪声放大特点,迭代计算导致误差快速累积,观测数据中无噪声时标量和矢量数据延拓误差小于0.25nT,观测数据中含有噪声时标量和矢量数据的延拓误差约为添加噪声的4倍;(2)改进插值-迭代法在迭代过程中能够有效抑制高频噪声影响,减少迭代误差,提高向下延拓结果的精度,观测数据中含有噪声时标量和矢量数据的延拓误差略小于添加噪声,其中标量数据延拓精度优于2nT,矢量数据延拓精度优于13nT;(3)将改进插值-迭代法应用于内蒙古某实验区的实测数据向下延拓,取得了有益成果,其中航磁标量数据延拓精度优于7.6nT,东向分量数据延拓精度优于12.5nT,北向分量数据延拓精度为33nT,垂直分量数据延拓精度优于17.3nT。

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  • 3.Weight Factor Determination of Reverse Distance Weighting Method in Computation of Geomagnetic Diurnal Variation Data

    • 关键词:
    • Surveys;Geomagnetism;Aeromagnetic;Aeromagnetic measurement;Correlation coefficient;Distance-weighting;Diurnal variation;Geomagnetic diurnal variation;Geomagnetic observatory;Geomagnetics;Reverse distance weighting method;Weighting methods
    • Xiaogang, Liu;Qian, Liu;Yunpeng, Wang;Ying, Song
    • 《7th China High-resolution Earth Observation Conference, CHREOC 2020》
    • 2022年
    • 会议

    A virtual geomagnetic diurnal station has been used to calculate the diurnal variation correction data in the regions where the ground magnetic surveying is difficult to be implemented, and this will provide diurnal variation correction data for the airborne geomagnetic measurement. The weight factors of reverse distance weighting (RDW) method usually use the empirical values, which have limitation in the application of different testing areas. The correlation coefficients are proposed and introduced to calculate the weight factors iteratively, which are more practical. The numerical experimental results show that the diurnal variation correction data, whose weight factors are calculated by correlation coefficients, have a higher precision. The precision of northern component X and horizontal component H are superior to 2.2 nT, eastern component Y and geomagnetic total intensity F are superior to 1.0 nT, vertical component Z is superior to 0.3 nT, and geomagnetic declination D and geomagnetic inclination I are superior to 10″. Therefore, the diurnal variation correction data in higher precision can be provided for the airborne scalar and vector geomagnetic measurement in the regions where the ground magnetic surveying is difficult. © 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

    ...
  • 4.Weight Factor Determination of Reverse Distance Weighting Method in Computation of Geomagnetic Diurnal Variation Data

    • 关键词:
    • Surveys;Geomagnetism;Aeromagnetic;Aeromagnetic measurement;Correlation coefficient;Distance-weighting;Diurnal variation;Geomagnetic diurnal variation;Geomagnetic observatory;Geomagnetics;Reverse distance weighting method;Weighting methods
    • Xiaogang, Liu;Qian, Liu;Yunpeng, Wang;Ying, Song
    • 《7th China High-resolution Earth Observation Conference, CHREOC 2020》
    • 2022年
    • 会议

    A virtual geomagnetic diurnal station has been used to calculate the diurnal variation correction data in the regions where the ground magnetic surveying is difficult to be implemented, and this will provide diurnal variation correction data for the airborne geomagnetic measurement. The weight factors of reverse distance weighting (RDW) method usually use the empirical values, which have limitation in the application of different testing areas. The correlation coefficients are proposed and introduced to calculate the weight factors iteratively, which are more practical. The numerical experimental results show that the diurnal variation correction data, whose weight factors are calculated by correlation coefficients, have a higher precision. The precision of northern component X and horizontal component H are superior to 2.2 nT, eastern component Y and geomagnetic total intensity F are superior to 1.0 nT, vertical component Z is superior to 0.3 nT, and geomagnetic declination D and geomagnetic inclination I are superior to 10″. Therefore, the diurnal variation correction data in higher precision can be provided for the airborne scalar and vector geomagnetic measurement in the regions where the ground magnetic surveying is difficult.
    © 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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  • 5.Performance Evaluation of Spaceborne Atomic Clock for BDS-3 Basic System

    • 关键词:
    • Atomic clocks;Atoms;Satellites;Frequency domain analysis;Orbits;Basic systems;Frequency domains;Global services;Performance analysis;Polynomial fitting method;Satellite clock;Satellite orbit;Service performance
    • Sun, Guang;Shen, Lirong;Zou, Tongyuan;Jia, Xiaolin;Liu, Xiaogang;Guo, Meijun;Zhai, Wei;Hong, Yingjie;Wu, Jiali
    • 《11th China Satellite Navigation Conference, CSNC 2020》
    • 2020年
    • November 22, 2020 - November 25, 2020
    • Chengdu, China
    • 会议

    At present, China’s BDS-3 basic system has been completed and started to provide global services. However, the accuracy of satellite clock difference seriously restricts the service performance of BDS, and the performance of satellite atomic clock directly determines the accuracy of satellite clock difference. To solve this problem, this paper studies and evaluates the performance of BDS-3 spaceborne atomic clock in detail. Based on the precision satellite clock data of BDS from August to October 2019, using the median method, this paper pre-processed the BDS-2 and BDS-3 data, and obtained the fitting residuals of the spaceborne atomic clock by using the polynomial fitting method. In addition, in the frequency domain, this paper studied and compared the periodic characteristics of spaceborne atomic clock of BDS-3 and BDS-2. The experimental results show that all the clock difference of BDS show significant periodic characteristics, and the main period of BDS satellite clock difference is 12 h and 24 h respectively, corresponding to 0.5 times, 1 times and 2 times of each satellite orbit period. Compared with BDS-2, the main period term of BDS-3 is clearer, more accurate and more stable. In addition, the experiment also shows that the period of satellite clock difference is different in different orbits and in the same orbit the periodic term of satellite clock difference is also different. The period term of BDS-3 is consistent with that of other MEO satellites. Finally, the performance analysis of BDS atomic clock shows that the performance of BDS-3 hydrogen atomic clock is better than that of BDS-2 atomic clock.
    © 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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  • 6.基于交叉点不符值评估航空磁力矢量仪飞行试验数据精度

    • 关键词:
    • 航空磁力矢量测量;地磁场;交叉点不符值
    • 刘晓刚,,;管斌,;段渭超,;张丽萍,
    • 会议

    目前,航空磁力测量是快速获取陆地和近海区域高精度高分辨率地磁场信息的非常有效的技术手段。利用航空磁力矢量仪试样机在200m和700m相对飞行高度的东西、南北各20条交叉测线的400个交叉点不符值,完成了对航空磁力矢量仪试样机的飞行测线数据的精度评估。结果表明,试样机在飞行测线上地磁场总强度的测量精度在200m高度和700m高度为1nT,连续飞行的三分量精度在10nT以内,非连续飞行的三分量精度在20nT以内。

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  • 7.Research on prediction and characteristics of periodic in BDS/GPS satellite clocks

    • 关键词:
    • Global positioning system;Forecasting;Spectrum analysis;Clock offset prediction;Periodic variation;Prediction accuracy;Prediction model;Prediction performance;Prediction tests;Quadratic polynomial;Satellite clock
    • Zheng, Jie;Zhu, Xiangyu;Guo, Meijun;Sun, Guang;Jia, Xiaolin;Li, Shuangqin
    • 《9th China Satellite Navigation Conference, CSNC 2018》
    • 2018年
    • May 23, 2018 - May 25, 2018
    • Harbin, China
    • 会议

    The prediction accuracy of satellite clock bias (SCB) directly affects the performance of navigation system. According to the spectrum analysis method, the periodic characteristics of satellite clocks are analyzed, and using precise SCB data of BDS/GPS satellite the prediction tests are conducted, and then we build the forecast model considering periodic items. Based on this, the influence of the number of periodic items on the result of SCB prediction is analyzed. The effect of SCB prediction between periodic term model and quadratic polynomial model is compared, and the SCB prediction performance of different types of satellites is summarized. Experimental results show that the periodic variation of satellites are significant. The periodic items of BDS are 24, 12 and 8 h, and the periodic items of GPS are 24, 12 and 6 h. The number of periodic items affects the prediction results. The prediction accuracy of BDS using 2–3 main periodic items is the best, and the prediction accuracy of GPS using 3–4 main periodic items is the best. Compared with the quadratic polynomial prediction model, the prediction accuracy of the proposed model with additional periodic items can be improved by 1–6 ns.
    © 2018, Springer Nature Singapore Pte Ltd.

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