Downward Continuation of Airborne Gravimetry Data Based on Improved Poisson Integral Iteration Method

doi:10.11947/j.AGCS.2018.20170569

Abstract

Abstract: Airborne gravimetry is an effective technology to obtain the Earth's gravity field information of land and offing area in high precision and resolution quickly.Downward continuation is one of the key steps in airborne gravimetry data processing,and the quality of continuation results directly influence the further application of surveying data.Based on numerical analysis of the continuation models of traditional least squares method,improved least squares method and Tikhonov regularization method,and according to the basic characteristics of spherical harmonic function,the continuation models of Poisson integral iteration method and improved Poisson integral iteration method were proposed and deduced.For the testing area in this paper,the surveyed airborne and terrestrial gravimetry data prove that the precision of the new continuation models of Poisson integral iteration method and improved Poisson integral iteration method are equal.Compared with the continuation models of traditional least squares method and improved least squares method,of which the precision are improved about 15.26 mGal and 0.21 mGal,respectively.The precision of new continuation models are inferior to Tikhonov regularization method about 0.13 mGal.Therefore,the new continuation models proposed in this paper can not only be used to amend the ill-posed problem of the continuation model introduced by traditional Poisson integral discretization formula,but also be used to suppress the ill-posed problem of the continuation model itself.Therefore,the research achievements can be applied directly in the data processing of our country's airborne scalar and vector gravimetry.

Key words: airborne gravimetry, downward continuation, poisson integral iteration method, least squares method, tikhonov regularization method

CLC Number:

P228

LIU Xiaogang, SUN Zhongmiao, GUAN Bin, FAN Haopeng. Downward Continuation of Airborne Gravimetry Data Based on Improved Poisson Integral Iteration Method[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(9): 1188-1195.

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