Acta Geodaetica et Cartographica Sinica >

2017 , Vol. 46 >Issue 1: 26 - 33

DOI: https://doi.org/10.11947/j.AGCS.2017.20160173

The Bouguer Correction Algorithm for Gravity with Limited Range

  • MA Jian ,
  • WEI Ziqing ,
  • WU Lili ,
  • YANG Zhenghui
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  • 1. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450052, China;
    2. State Key Laboratory of Geo-information Engineering, Xi'an 710054, China;
    3. Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China;
    4. College of Navigation and Aerospace Engineering, Information Engineering University, Zhengzhou 450052, China;
    5. School of Geological Engineering and Geomatics, Chang'an University, Xi'an 710054, China

Received date: 2016-04-19

  Revised date: 2016-12-29

  Online published: 2017-02-06

Supported by

The National Natural Science Foundation of China (Nos.41674025;41674082);The Open Research Foundation of State Key Laboratory of Geo-information Engineering (No.SKLGIE2016-M-1-5)

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Abstract

The Bouguer correction is an important item in gravity reduction, while the traditional Bouguer correction, whether the plane Bouguer correction or the spherical Bouguer correction, exists approximation error because of far-zone virtual terrain. The error grows as the calculation point gets higher. Therefore gravity reduction using the Bouguer correction with limited range, which was in accordance with the scope of the topographic correction, was researched in this paper. After that, a simplified formula to calculate the Bouguer correction with limited range was proposed. The algorithm, which is innovative and has the value of mathematical theory to some extent, shows consistency with the equation evolved from the strict integral algorithm for topographic correction. The interpolation experiment shows that gravity reduction based on the Bouguer correction with limited range is prior to unlimited range when the calculation point is taller than 1000 m.

Key words： the traditional Bouguer correction; the Bouguer correction with limited range; simplified formula; evolution equation from the strict integral algorithm for topographic correction

Cite this article

MA Jian , WEI Ziqing , WU Lili , YANG Zhenghui . The Bouguer Correction Algorithm for Gravity with Limited Range[J]. Acta Geodaetica et Cartographica Sinica, 2017 , 46(1) : 26 -33 . DOI: 10.11947/j.AGCS.2017.20160173

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