Acta Geodaetica et Cartographica Sinica ›› 2017, Vol. 46 ›› Issue (6): 689-697.doi: 10.11947/j.AGCS.2017.20160390

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Analysis of Airborne Gravity Downward Continuation Errors Effect

ZHAO Qilong1,2, LI Jiancheng1, XU Xinyu1, ZHAO Yongqi1, YU Nan1   

  1. 1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
    2. Key Laboratory of Geospace Environment and Geodesy of Ministry of Education, Wuhan University, Wuhan 430079, China
  • Received:2016-08-08 Revised:2017-04-26 Online:2017-06-20 Published:2017-06-28
  • Supported by:
    National Key Basic Research Program of China(No.2013CB733302);National High Technology Research and Development Program(No. 2013AA122502);The Project of National Natural Science Fund(No. 41374022);The Fundamental Research Funds for the Central Universities(No. 2015214020202)

Abstract: The variation characteristics of the random errors and systematic errors of airborne gravity (AG) are analyzed in the downward continuation (DWC) process, and then specific processing methods are presented to deal with the influence of systematic errors and random errors. Firstly, the limitation of remove-compute-recover (RCR) was generated from the RCR experiment, and it is necessary to deal with random errors and systematic errors. Systematic error effects and random error effects were calculated based on theoretical deductions and numerical simulations. The results showed the linear relationships between systematic error effects or random errors effects and grid spaces or DWC heights. It was concluded that the smaller grid spaces and higher DWC heights would increase the systematic error effects and random error effects. Ultimately, the two-step method of semi-parametric model and regularization method were proposed to estimate systematic error and to weaken random error effects. And the experimental results showed the two-step method was more effective dealing with DWC error effects than semi-parametric model and regularization method separately. Specifically, conditions of experiment were that standard deviation of random error was 2×10-5 m/s2, bias 3×10-5 m/s2 and the standard deviation of variable systematic error was about 1.3×10-5 m/s2, the DWC height was 6.3 km and the resolution was 6'. And two-step method experimental accuracy could reach about 2.3×10-5 m/s2.

Key words: downward continuation, inverse Poisson integral, remove-compute-recover, systematic error effect, random error effect, two-step method

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