Downward Continuation of Gravity Using the Band-Limited Models for High-Order Radial Derivatives of Gravity Anomaly

DENG Kailiang; HUANG Motao; WU Taiqi; WANG Weiping; OUYANG Yongzhong; CHEN Xin; XIONG Xiong; LIU Min; WANG Xu

doi:10.13203/j.whugis20210630

Volume 49 Issue 3

Mar. 2024

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Geomatics and Information Science of Wuhan University > 2024 > 49(3): 442-452. > DOI: 10.13203/j.whugis20210630

DENG Kailiang, HUANG Motao, WU Taiqi, WANG Weiping, OUYANG Yongzhong, CHEN Xin, XIONG Xiong, LIU Min, WANG Xu. Downward Continuation of Gravity Using the Band-Limited Models for High-Order Radial Derivatives of Gravity Anomaly[J]. Geomatics and Information Science of Wuhan University, 2024, 49(3): 442-452. DOI: 10.13203/j.whugis20210630

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Downward Continuation of Gravity Using the Band-Limited Models for High-Order Radial Derivatives of Gravity Anomaly

1.
Naval Research Institute, Tianjin 300061, China
2.
Key Laboratory of Marine Environmental Survey Technology and Application, Ministry of Natural Resources, Guangzhou 510300, China
3.
South China Sea Marine Survey and Technology Center, State Oceanic Administration, Guangzhou 510300, China
4.
Troops, Beijing 100830, China

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Received Date: May 21, 2022
Available Online: June 16, 2022

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Abstract

Abstract

Objectives
Taylor series expansion is often used in the downward continuation of potential field, and its performance depends on the accuracy and reliability of vertical partial derivatives or radial partial derivatives (RPDs) of potential field parameters.
Methods
In order to avoid the singularity on spherical boundary and the uncertainty to the computational results by using the closed analytic kernel function to solve the partial derivative, first, this paper considers the fact that all kinds of gravity observations behave as a type of limited spectrum bandwidth signal after being filtered, and proposes to express the kernel function of the Poisson integral for the external gravity anomaly by a spherical harmonic series expansion, which is truncated into a band-limited summation with the same spectrum range as the gravity observation. Then, we derive a set of band-limited formulas to calculate the high-order RPDs, which are modified and applied to the downward continuation of the gravity anomaly by Taylor series expansion.
Results and Conclusions
The formulas are validated using the ultra-high-degree geopotential model EGM2008 by a two-stage procedure. The numerical tests of the band-limited formulas and the Taylor series expansion downward continuation model show that the proposed band-limited formulas have good reliability and validity, and are superior to other models in terms of stability and accuracy.

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References

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Downward Continuation of Gravity Using the Band-Limited Models for High-Order Radial Derivatives of Gravity Anomaly

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