Journal of Jilin University(Earth Science Edition) ›› 2017, Vol. 47 ›› Issue (5): 1533-1542.doi: 10.13278/j.cnki.jjuese.201705301

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Third-Order Adams-Bashforth Formula Method for Downward Continuation of Gravity Field

Zhang Chong1, Huang Danian1, Qin Pengbo2, Wu Guochao3, Fang Gang4   

  1. 1. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China;
    2. College of Mechatronic Engineering and Automation, National University of Defense Technology, Changsha 410000, China;
    3. School of Earth Sciences, Zhejiang University, Hangzhou 310000, China;
    4. Second Gold detachment, The Chinese Armed Police Force, Hohhot 010000, China
  • Received:2016-12-22 Online:2017-09-26 Published:2017-09-26
  • Supported by:
    Supported by Deep Exploration in China of SinoProbe-09-01 (201311192) and National High-Tech R&D Program ("863" Program)of China(2014AA06A613)

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Abstract: Upward continuation of gravity field is considered to be a stable and convergence process, but downward continuation is not. This paper presents a new method of downward continuation of gravity field. Firstly, the gravity field and its vertical first-order derivatives are continued upward to different height. Secondly, the authors derive with the stable downward continuation based on multistep method of Adams-Bashforth formula of third-order of the differential equation. Finally, the method is applied to the synthetic model data and the real data. Compared with the classical downward continuation methods which are the Fourier transform method and integral-iteration method, the synthetic results show that the new method, which is Adams-Bashforth formula of third-order, is more stable, less edge effect, the depth of downward continuation is 5 intervals, the relative error of the downward result and the real value is smaller, and the result is more accurate. The method is applied to the measured airborne gravity data in Canada, and the results obtained are valid and accurate. Small sources are identified and delineated.

Key words: gravity downward continuation, vertical derivative, Adams-Bashforth formula

CLC Number: 

  • P631.1
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