IGFS 2014 pp 147-152 | Cite as

Accurate Approximation of Vertical Gravity Gradient Within the Earth’s External Gravity Field

  • Dongming Zhao
  • Shanshan Li
  • Huan Bao
  • Qingbin Wang
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 144)


Vertical gravity gradient plays an important role in the research of the Earth’s gravity field. However, the measurement of the vertical gravity gradient is a hard work. With the fast development of the Earth’s gravity field modeling technique, it is possible to accurately approximate the vertical gravity gradient with the aid of the gravity field model as well as increasing gravity anomalies and rich terrain data. In the paper, a theoretical analysis was made on the computation of the vertical gravity gradient firstly, and then three methods, the gravity potential model method, the remove-restore method, and the point mass method, were used to accurately approximate the anomaly of the vertical gravity gradient. Tests of the three methods were made using some actual measurements of vertical gravity gradient over some area in China, and analyses were also made. Comparisons among the three methods show that the point mass method has the highest accuracy in approximation. At the end of the paper, some issues on the vertical gravity gradient to be further investigated were proposed.


Point mass model Remove-restore method The Earth’s gravity field model Vertical gravity gradient 



The work in the paper is financially supported by the open fund project No. SKLGIE2013-Z-1-1 from State Key Laboratory of Geo-Information Engineering, and the Scientific Research Fund project No.2014601102 from Zhengzhou Surveying and Mapping Institute.


  1. Forsberg R (1984) A study of terrain reductions, density anomalies and geophysical inversion methods in gravity field modeling: report 355. Department of Geodetic Science and Surveying, The Ohio State University, ColumbusGoogle Scholar
  2. Heiskanen W, Moritz H (1967) Physical geodesy. W. H. Freeman and Co., San FranciscoGoogle Scholar
  3. Jekeli C, Zhu L (2006) Comparison of methods to model the gravitational gradients, from topographic data bases. Geophys J Int 166:999–1014CrossRefGoogle Scholar
  4. Mickus KL, Hinojosa JH (2001) The complete gravity gradient tensor derived from the vertical component of gravity: a Fourier transform technique. J Appl Geophys 46:159–174CrossRefGoogle Scholar
  5. Moritz H (1980) Advanced physical geodesy. Abacus, Tunbridge Wells KentGoogle Scholar
  6. Sjoberg L (1995) On the quasigeoid to geoid separation. Manuscr Geod 20:182–192Google Scholar
  7. Torge W (1989) Gravimetry. Walter de Gruyter, BerlinGoogle Scholar
  8. Tsoulis D (2003) Terrain modeling in forward gravimetric problems: a case study on local terrain effects. J Appl Geophys 54:145–160CrossRefGoogle Scholar
  9. Tziavos IN, Sideris MG, Forsberg R, Schwarz KP (1988) The effect of the terrain on airborne gravity and gradiometry. J Geophys Res 93:9173–9186CrossRefGoogle Scholar
  10. Wang YM (2000) Prediction bathymetry from the earth’s gravity gradient anomalies. Mar Geod 23:251–258CrossRefGoogle Scholar
  11. Wang Q (2003) Gravitology. Seismological Press, BeijingGoogle Scholar
  12. Xiong L (2004) Gravity gradiometry in geophysical prospecting. In: Zhu Y, Sun H (eds) Progress in geodesy and geophysics. Hubei Science & Technology, Wuhan, pp 160–172Google Scholar
  13. Zhang C, Bian S (2005) Determination of disturbing gravity vertical gradient in earth’s surface. Prog Geophys 12:969–973Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Dongming Zhao
    • 1
    • 2
  • Shanshan Li
    • 1
  • Huan Bao
    • 1
  • Qingbin Wang
    • 1
  1. 1.Zhengzhou Surveying and Mapping InstituteZhengzhouChina
  2. 2.State Key Laboratory of Geo-Information EngineeringZhengzhouChina

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