Research on Area Quasigeoid/Geoid Determination Based on Semi-Free Point Mass Model
Abstract To improve the accuracy of quasigeoid/geoid determination based on GPS/leveling, we present a new approach to fit quasigeoid/geoid called semi-free position point mass, based on the gravity field approximation principle. Compared with the traditional point mass model, the plan coordinates of the new model are stationary, while the depths are free. The method is established by a kind of iterative algorithm using the relationship between the nearest points. The gravity parameters are fitted in multi-band by several mass-points under the known data-points with different depths. Three experiments are conducted in different test zones where the data conditions vary. The results show that applying the model to quasigeoid/geoid fitting is feasible, and achieves higher accuracy than Kriging and Co-Kriging method in the test zones.
Key words :
point mass model
quasigeoid/geoid
iterative algorithm
Kriging
Co-Kriging
Cite this article:
KUANG Daizhi,FENG Jinkai,LI Wei. Research on Area Quasigeoid/Geoid Determination Based on Semi-Free Point Mass Model[J]. jgg, 2019, 39(10): 1027-1032.
KUANG Daizhi,FENG Jinkai,LI Wei. Research on Area Quasigeoid/Geoid Determination Based on Semi-Free Point Mass Model[J]. jgg, 2019, 39(10): 1027-1032.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2019/V39/I10/1027
[1]
LU Tieding, ZHU Guohong. Algorithms for Adjustment Model with Uncertainty Based on F-Norm [J]. jgg, 2018, 38(6): 557-561.
[2]
ZHU Guohong,LU Tieding. Iterative Algorithm for Adjustment Model with Part Uncertainty [J]. jgg, 2017, 37(9): 968-972.
[3]
WANG Qisheng. The New Algorithm for Multivariate Weighted Total Least Squares [J]. jgg, 2017, 37(12): 1281-1284.
[4]
HUANG Jiaxi,WANG Qingbin,ZHANG Chao,FENG Jinkai. Research on Fast Construction Method of Large Scale Point Mass Model [J]. jgg, 2017, 37(1): 11-15.
[5]
WANG Qisheng,YANG Genxin. Iteration Algorithm of Total Least Squares with Inequality Constraints [J]. jgg, 2016, 36(12): 1100-1104.
[6]
WANG Qisheng,YANG Dehong,YANG Tengfei. Structured Total Least Squares for Space Straight Line Fitting [J]. jgg, 2015, 35(3): 433-435.
[7]
WANG Qisheng,YANG Dehong,YANG Tengfei. The Solution of Robust Total Least Squares for Linear Regression Models [J]. jgg, 2015, 35(2): 239-242.
[8]
WANG Qisheng,YANG Dehong,YANG Tengfei. The Total Least Squares Adjustment Model of Linear
Regression and Its Solution [J]. jgg, 2015, 35(1): 126-128.
[9]
Wang Yi,Jiang Xiaodian. STRUCTURE OF MULTILAYERED SPHERICAL CAP HARMONIC MODEL [J]. jgg, 2014, 34(5): 30-34.
[10]
Wang Qisheng,Yang Dehong,Yang Genxin. ITERATION ALGORITHM OF LINEAR REGRESSION CONSIDERING
THE ERROR OF INDEPENDENT VARIABLES [J]. jgg, 2014, 34(5): 110-113.
[11]
Gao Xinbing;;Li Shanshan;Li Hai;Zhang Hongwei;and Wang Yingjian. APPLICATION OF POINT MASS MODEL AND LEAST SQUARECOLLOCATION IN MULTI-SOURCE GRAVITY DATA FUSION [J]. , 2013, 33(1): 145-149.
[12]
Ma Biao ;Liu Xiaogang;and Zhang Liping . ANALYSIS AND COMPARISON OF TRAJECTORY DISTURBING GRAVITY CALCULATED BY SEVERAL COMPUTATIONAL MODELS [J]. , 2012, 32(1): 105-109.
[13]
Wang Qingbin;Zhao Dongming;Sun Wen;and Zhou Rui. RESEARCH ON ACCURACY OF POINT MASS MODEL USING AUSTRALIAN GROUND AND AIRBORNE GRAVITY DATA [J]. , 2011, 31(4): 76-79.
[14]
Kong Jian;Yao Yibin;and Huang Chengmeng. METHOD FOR DETERMINING FIRST-ORDERPARTIALDERIVATIVE OF NONLINEAR MODEL AND ITS APPLICATION IN TLS ACCURACY ASSESSMENT [J]. , 2011, 31(3): 110-114.
[15]
Wu Xing;Zhang Chuanding ;Wang Kai ;and Feng Wei . LINE-MASS HARMONIC ANALYSIS METHOD BASED ON SATELLITE GRAVITY GRADIENT DATA [J]. , 2010, 30(6): 95-99.