Acta Geodaetica et Cartographica Sinica ›› 2016, Vol. 45 ›› Issue (5): 521-530.doi: 10.11947/j.AGCS.2016.20150453

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Test and Analysis of Downward Continuation Models for Airborne Gravity Data with Regard to the Effect of Topographic Height

LIU Min1, HUANG Motao2,3, OUYANG Yongzhong2, DENG Kailiang2, ZHAI Guojun2,3, WU Taiqi2   

  1. 1. Institute of Geospacial Information, Information Engineering University, Zhengzhou 450001, China;
    2. Naval Institute of Hydrographic Surveying and Charting, Tianjin 300061, China;
    3. Department of Navigation, Naval University of Engineering, Wuhan 430033, China Abstract
  • Received:2015-09-28 Revised:2016-03-01 Online:2016-05-20 Published:2016-05-30
  • Supported by:
    The National Basic Research Program of China (973 Program) (No. 613219);The National Natural Science Foundation of China (Nos. 41474012;41174062;41374018);The Great Scientific Instrument Development Project of China (No.2011YQ12004503)

Abstract: Downward continuation is an essential technical step of data processing in airborne gravimetry for further applications. It is known that the solution of downward continuation is uncertain due to its ill-posedness. So it has been a topic of general interest for many scholars at home and abroad in geodesy. The main purpose of this paper is to give 3 representative models for downward continuation including traditional inverse Poisson integration and two modern methods, and make a comprehensive comparison and analysis on their property and applicability among the different models. Ultra-high-degree geopotential model, local topographic correction and remove-restore technique are suggested to be used for regard to the effect of topographic height, and for the realization of downward continuation combining with a transformation from spherical to undulating surface. We pay our attention to the influence of surveyed data errors on the stability of downward continuation solutions. Theoretical analysis, simulated data and real numerical computations are carried out to evaluate the stability and accuracy of downward continuation models. And some useful conclusions are obtained. Under existing working conditions, the traditional inverse Poisson integration method can only be used to the continuation computation under 1 km due to the serious disturbing of surveying noise. Excellent computation stability can be achieved by using the band-limited spectrum and the geopotential model plus topographic correction methods. The two new models can be used to the downward continuation of airborne gravity data on 5 km height and 2' data resolution. And the accuracy of corresponding continuation solutions can be reach 2×10-5 m/s2. It can meet the requirements from different applications.

Key words: airborne gravimetry, downward continuation, terrain effect, Poisson integration, band-limited spectrum, ultra-high-degree geopotential model

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