Improvement of inverse distance weighted on regional gravity modelling based on least squares collocation

Yangtao Meng; Shaokun Cai; Ruihang Yu; Zhiming Xiong

doi:10.1117/12.2627450

22 April 2022 Improvement of inverse distance weighted on regional gravity modelling based on least squares collocation

Yangtao Meng, Shaokun Cai, Ruihang Yu, Zhiming Xiong

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121632J (2022) https://doi.org/10.1117/12.2627450
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

Gravity field modelling is an important research content in the field of geophysics, as well as a basic digital resource in natural resource exploration. It plays an important role in navigation, airborne geophysical exploration, and geodesic research. In this paper, based on the algorithms of least squares-collocation (LSC) method and inverse distance weighted (IDW) method, considering the limitations of single IDW modelling method in local gravity field modelling, a method of local gravity field modelling combining LSC and IDW is proposed named IDW-LSC. A group of estimated gravity anomaly data can be calculated by conducting the IDW, then the error sequence can be computed from the estimated data and the original data. Fitting the error sequence by using LSC algorithm, an error model of the survey region can be established, which can be used to optimize the gravity anomaly data estimated by IDW interpolation method, a new and optimized gravity model can be computed. In this study, a dataset of gravity anomaly from a test of airborne gravimetry over an area of China is used to verify this new method. The result shows the new method is more reliable than single method and promising to promote the precision of the gravity model.

Citation Download Citation

Yangtao Meng, Shaokun Cai, Ruihang Yu, and Zhiming Xiong "Improvement of inverse distance weighted on regional gravity modelling based on least squares collocation", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121632J (22 April 2022); https://doi.org/10.1117/12.2627450

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KEYWORDS

Modeling

Data modeling

Error analysis

Data analysis

Defense technologies

Geophysics

Interference (communication)

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