Downward Continuation of Airborne Gravity Anomaly ased on Lagrange Mean-Value Theorem
Abstract This paper improves the methods of downward continuation of gravity anomaly based on the Lagrange mean-value theorem. We apply the difference between upward continuation and linear extrapolation to obtain the precise vertical gradients of gravity anomaly used in the downward continuation. We first introduce the principles and the procedures of the proposed methods. Based on EGM2008 global gravity model, we validate the strong linear distribution pattern of gravity vertical gradients between 0 m and 10 000 m in Taiwan area and justify the linear extrapolation of these gradients. We conduct the simulated downward continuation experiment in Taiwan area and the accuracy reaches 2.34 mGal. Finally, we downward continue the airborne gravity anomaly at 5 155 m in Taiwan to the 3 360 land gravity points and the accuracy reaches 10.13 mGal.
Key words :
airborne gravimetry
downward continuation
vertical gradient
mean-value theorem
Cite this article:
HU Qi,XU Xinyu,ZHAO Yongqi et al. Downward Continuation of Airborne Gravity Anomaly ased on Lagrange Mean-Value Theorem[J]. jgg, 2021, 41(1): 95-100.
HU Qi,XU Xinyu,ZHAO Yongqi et al. Downward Continuation of Airborne Gravity Anomaly ased on Lagrange Mean-Value Theorem[J]. jgg, 2021, 41(1): 95-100.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2021/V41/I1/95
[1]
ZHOU Boyang,CUI Jiawu,ZHANG Xingfu. Downward Continuation of Horizontal Component in Airborne Vector Gravimetry Using Input Output System [J]. jgg, 2018, 38(9): 903-907.
[2]
LIU Qiang,BIAN Gang,ZHAO Junsheng,YIN Xiaodong. Denoising Method of Marine Magnetic Field Data: Based on the 2D Adaptive Wavelet Threshold [J]. jgg, 2018, 38(8): 851-856.
[3]
WEI Jiancheng,XIAO Yun,WANG Li,MENG Ning,ZOU Jiasheng. A New Method for Searching Intersection of Airborne Gravity Survey [J]. jgg, 2018, 38(12): 1302-1305.
[4]
GUO Dong,SUN Zhongmiao,WU Fumei,ZHANG Qi. Comparison and Analysis of Airborne Gravity Disturbance in Different Coordinate Systems [J]. jgg, 2018, 38(10): 1068-1072.
[5]
LI Wei,XU Caijun. A Study of Regularization Method and Parameter Selection of Downward Continuation of Airborne Gravity Gradient Data [J]. jgg, 2017, 37(2): 154-159.
[6]
WAN Jiakuan,LUO Zhicai,LIU Zhanke. Evaluating the Precision of GT-2A Airborne Gravimeter Measurements [J]. jgg, 2017, 37(10): 1096-1100.
[7]
WU Liang,WANG Qingbin,CHANG Cen,JIA Lu. The Improved Euler Deconvolution Methods Based on Gravity Vertical Gradient [J]. jgg, 2016, 36(3): 193-197.
[8]
LU Xueying,LIU Lintao,LIANG Xinghui,LIU Jinzhao. The Inverse Poisson Integral Algorithm for Downward
Continuation of Airborne Gravity Data [J]. jgg, 2015, 35(6): 919-922.
[9]
ZHOU Boyang,LUO Zhicai,ZHONG Bo,ZHENG Kai,WEI Yanping. The Influence of Newton Central Differentiators Upon Acceleration in Airborne Gravimetry [J]. jgg, 2015, 35(6): 923-926.
[10]
ZHOU Boyang,LUO Zhicai,ZHONG Bo,YAO Chaolong. Data Reduction Methods of Airborne Gravimetry [J]. jgg, 2015, 35(2): 336-341.
[11]
Chen Zhao,Li Hui,Xing Lelin,Sun Shaoan,Zhang Xiaotong,Zhang Pin. STUDY ON NON-LINEAR VARIATION OF VERTICAL
GRADIENT OF GRAVITY [J]. jgg, 2014, 34(2): 27-30.
[12]
Li Wenping, Liu Lintao,Wu Pengfei. RESEARCH ON SINUSOIDAL EXCITATION SOURCE OF CAPACITIVE
MICROMETER FOR AIRBORNE GRAVITY MEASUREMENT SYSTEM
BASED ON DDS TECHNOLOGY [J]. jgg, 2013, 33(Supp.2): 84-87.
[13]
. A NEW ADJUSTMENT METHOD OF GRAVITY VERTICAL GRADIENT [J]. jgg, 2013, 33(6): 78-80.
[14]
Zhou Boyang;Luo Zhicai;Xu Chuang; and Wu Yihao. COMPARISON AMONG FAST FOURIER TRANSFORM ALGORITHMSFOR DOWNWARD CONTINUATION OF AIRBORNE GRAVITY DATA [J]. , 2013, 33(1): 64-68.
[15]
Sun Zhongmiao;Zhai Zhenhe;Li Yingchun;and Xiao Yun. CONCURRENT FLIGHT TEST OF LaCoste & Romberg(LCR) AIRBORNE GRAVIMETER ⅡAND Ⅰ SYSTEM [J]. , 2012, 32(2): 24-27.