Abstract
Accurate and highly precise gravity gradient data are an important component of, for example, gravity field modeling, seabed topography inversion, and resource exploration. However, high-precision gravity gradient data are difficult to obtain. To address this difficulty, this work introduces the Fourier series expansion method to the modeling of gravity gradient fields. Based on gravity anomalies, the analytic expressions of the gravity gradient tensors have been deduced, which provides a new mathematical method for obtaining gravity gradient data. The expression’s derivation and verification processes are as follows. First, these analytic expressions for inverting the gravity gradient based on gravity anomaly data are derived according to the Laplace equation, the boundary value conditions of spherical approximation, and the Fourier series expansion method. Then, global 1’ × 1’ gravity field data provided by UCSD are used to verify the accuracy of these formulas. Finally, the results are analyzed. The experimental results show that the results obtained based on this inversion formula can sufficiently show the details of gravity gradient changes. The formulas derived in this paper have good computational efficiency in the inversion of regional gravity gradients and provide a new mathematical method for gravity gradient data acquisition.
Funder
National Natural Science Foundation of China
National Science Foundation for Outstanding Young Scholars
National Science Fund for Young Scholars
Guangxi Key Laboratory of Spatial Information and Geomatics
Subject
General Earth and Planetary Sciences
Reference36 articles.
1. Huang, M., Zhai, G., and Guan, Z. (2005). The Determination and Application of Marine Gravity Field, Surveying and Mapping Press.
2. Chen, S. (1991). The Data Processing, Analysis and Application of Marine Gravity, China Ocean Press.
3. Comparison of methods to model gravity gradient field using gravity anomaly data;Liu;Geomat. Inf. Sci. Wuhan Univ.,2015
4. Shipborne gravimetry in the Baltic sea: Data processing strategies, crucial findings and preliminary geoid determination tests;Lu;J. Geod.,2019
5. Xian, P., Ji, B., Bian, S., and Liu, B. (2022). Influence of sea level anomaly on underwater gravity gradient measurements. Sensors, 22.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献