Least Squares Collocation-Tikhonov Regularization Method for the Downward Continuation of Airborne Gravity Data

CHEN Xin; ZHAI Guojun; BAO Jingyang; OUYANG Yongzhong; LU Xiuping; DENG Kailiang

doi:10.13203/j.whugis20150728

Volume 43 Issue 4

Apr. 2018

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Geomatics and Information Science of Wuhan University > 2018 > 43(4): 578-585. > DOI: 10.13203/j.whugis20150728

CHEN Xin, ZHAI Guojun, BAO Jingyang, OUYANG Yongzhong, LU Xiuping, DENG Kailiang. Least Squares Collocation-Tikhonov Regularization Method for the Downward Continuation of Airborne Gravity Data[J]. Geomatics and Information Science of Wuhan University, 2018, 43(4): 578-585. DOI: 10.13203/j.whugis20150728

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Least Squares Collocation-Tikhonov Regularization Method for the Downward Continuation of Airborne Gravity Data

1.
Department of Hydrography and Cartography, Dalian Naval Academy, Dalian 116018, China
2.
Naval Institute of Hydrographic Surveying and Charting, Tianjin 300061, China

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The National Natural Science Foundation of China 41474012

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Author Bio:
CHEN Xin, PhD candidates, specializes in the data processing of marine gravity survey. E-mail: chenxin3931@163.com
Received Date: August 01, 2016
Published Date: April 04, 2018

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Abstract

Abstract

The covariance matrix that least-squares collocation is used to the downward continuation of airborne gravity data is ill-conditioned, which influences the reliability and precision of computation results. To solve this problem, the least squares collocation-Tikhonov regularization method for the downward continuation of airborne gravity data is proposed. The functional relationship between airborne gravity data and ground gravity data is established by using the global covariance function model, and the Tikhonov regularization method that the Generalized Cross-Validation (GCV) method is used to select the regularization parameter is introduced, which can improve the ill conditioned covariance matrix and inhibit the amplification impact of ill matrix on observational error. Based on the EGM2008 gravity model, the simulation experiments that airborne gravity anomalies are downward continued to calculate corresponding ground gravity anomalies in mountainous, hill, and sea areas are designed, and the results validate the effectiveness of the proposed method.
- airborne gravity data,
- downward continuation,
- least-squares collocation,
- Tikhonov regularization

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References

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Least Squares Collocation-Tikhonov Regularization Method for the Downward Continuation of Airborne Gravity Data

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