航空矢量重力测量水平分量的带限直接地形影响
收稿日期: 2013-12-05
修回日期: 2014-03-14
网络出版日期: 2014-10-24
基金资助
国家自然科学基金;国家973计划项目;地球空间环境与大地测量教育部重点实验室开放基金
Band-limited Direct Topographical Effects of Horizontal Components in Airborne Vector Gravimetry
Received date: 2013-12-05
Revised date: 2014-03-14
Online published: 2014-10-24
基于第二类Helmert凝聚法的级数展开式，独立推导了航空矢量重力测量水平分量带限直接地形影响的计算公式。在中国西部山区选取了两条沿纬圈方向4000m航线高度上的航线，采用 的数字高程模型基于解析核计算了水平分量的直接地形影响，经低通滤波后与基于带限公式计算的地形影响进行了比较。数值计算结果表明，二者吻合较好，本文给出的带限地形影响公式可用于航空矢量重力测量水平分量的地形归算。
关键词： 航空矢量重力测量; 水平分量; 带限直接地形影响; 第2类Helmert凝集法
周波阳 罗志才 宁津生 钟波 . 航空矢量重力测量水平分量的带限直接地形影响[J]. 测绘学报, 2014 , 43(10) : 1019 -1024 . DOI: 10.13485/j.cnki.11-2089.2014.0144
Based on the series-expanded expression of Helmert’s 2nd condensation method, formulae of band-limited direct topographical effect of horizontal components in airborne vector gravimetry are deduced independently. Using a digital elevation model, direct topographical effects of the horizontal components are computed based on the analytical kernel along selected flight lines in western area of China with flight height of 4000m, these values are processed by low-pass filter and compared to values computed by the band-limited formulae. It turns out that both topographical effects have a good consistence, and the band-limted formulae can be used for topography reduction for horizontal components of airborne vector gravimetry.
[1] 罗志才, 陈永奇, 宁津生. 地形对确定高精度局部大地水准面的影响[J]. 武汉大学学报?信息科学版, 2003, 28(3)：340-344
[2] Bajracharya S. Terrain effects on geoid determination[J]. UCGE Reports, 2003, 20181
[3] Jekeli C, Serpas JG. Review and numerical assessment of the direct topographical reduction in geoid determination[J]. Journal of Geodesy, 2003, 77(3-4): 226-239
[4] Serpas JG, Jekeli C. Local geoid determination from airborne vector gravimetry[J]. Journal of Geodesy, 2005, 78(10): 577-587.
[5] Wang YM. Precise computation of the direct and indirect topographic effects of Helmert's 2nd method of condensation using SRTM30 digital elevation model[J].. Journal of Geodetic Science, 2011, 1(4): 305-313
[6] Novák P, Kern M, Schwarz KP. Numerical studies on the harmonic downward continuation of band-limited airborne gravity[J]. Studia. geoph. et geod., 2001, 45: 327-345
[7] Novák P，Heck B. Downward continuation and geoid determination based on band-limited airborne gravity data[J]. Journal of Geodesy, 2002, 76: 269-278
[8] Novák P. Optimal model for geoid determination from airborne gravity[J]. Stud. Geophys. Geod., 2003, 47: 1-36
[9] Novák P, Kern M, Schwarz KP, et al. On geoid determination from airborne gravity[J]. Journal of Geodesy, 2003, 76: 510-522
[10] Bayoud FA, Sideris MG. Two different methodologies for geoid determination from groud and airborne gravity data[J]. Geophysics, 2003, 71(6): 171-180
[11] Novák P, Kern M, Schwarz KP, et al. Evaluation of band-limited topographical effects in airborne gravimetry[J]. Journal of Geodesy, 2003, 76: 597-604.
[12] Hájková J. Local geoid determination based on airborne gravity data[J]. Stud. Geophys. Geod., 2011, 55: 515-528
[13] 蒋涛. 利用航空重力测量数据确定区域大地水准面[D]. 武汉: 武汉大学, 2011
[14] Wichiencharoen C. The indirect effects on the computation of geoid undulations[R]. Rep 336, Department of Geodetic Science, The Ohio State University, Columbus, 1982
[15] Heiskanen WA, Moritz H. Physical Geodesy[M]. San Francisco: Freeman, 1967
[16] Koop R. Global gravity field modelling using satellite gravity gradiometry[M]. Nederlandse Commissie voor Geodesie, 1993
[17] Farr TG, Rosen PA, Caro E, et al. The shuttle radar topography mission[J]. Reviews of geophysics, 2007, 45(2)
[18] Li YC, Sideris MG, Schwarz KP. Unified terrain correction formulas for vector gravity measurements[C]. PROCEEDINGS-INDIAN NATIONAL SCIENCE ACADEMY PART A, 2000, 66(5): 521-536.
[19] Makhloof AAE. The use of topographic-isostatic mass information in geodetic applications [M]. Inst. für Geod?sie und Geoinformation, 2008
[20] Hwang C, Hsiao YS, Shih HC. Data Reduction in Scalar Airborne Gravimetry: Theory, Software and Case Study in Taiwan[J]. Computers & Geosciences, 2006, 32: 1573-1584
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