A Multi-Parameter Regularization Method in Downward Continuation for Airborne Gravity Data

XU Xinqiang; ZHAO Jun

doi:10.13203/j.whugis20180335

Volume 45 Issue 7

Jul. 2020

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Geomatics and Information Science of Wuhan University > 2020 > 45(7): 956-963, 973. > DOI: 10.13203/j.whugis20180335

XU Xinqiang, ZHAO Jun. A Multi-Parameter Regularization Method in Downward Continuation for Airborne Gravity Data[J]. Geomatics and Information Science of Wuhan University, 2020, 45(7): 956-963, 973. DOI: 10.13203/j.whugis20180335

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A Multi-Parameter Regularization Method in Downward Continuation for Airborne Gravity Data

XU Xinqiang^1,,
ZHAO Jun^{1, 2, ,}

1.
Xi'an Technical Division of Surveying and Mapping, Xi'an 710054, China
2.
Sate Key Laboratory of Geodesy and Earth's Dynamics, Wuhan 430077, China

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State Key Laboratory of Geodesy and Earth's Dynamics SKLGED 2017-3-2-E

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XU Xinqiang, senior engineer, specializes in the data processing of earth gravity survey. E-mail: xaxcq@126.com
Received Date: April 06, 2019
Published Date: July 29, 2020

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Abstract

To overcome the ill-posed problem of downward continuation for airborne gravity data, the paper proposes an alternative multi-parameter regularization method. The algorithm for selecting the regularization is proposed based on the minimization of mean squares error (MSE).In addition, the comparative analysis of the L-curve and generalized eross-validation(GCV) method of selecting the Tikhonov regularization parameter is conducted. Under of MSE, the condition that the multi-parameter regularization method is superior to the least-squares is given. By making using of the EGM2008 earth gravity model, the simulation experiment is performed. The numerical results show that the multi-parameter regularization method can guarantee the reliability and stability of downward continuation. And the multi-parameter regularization method shows the better performance than the general Tikhonov regularization method so that the feasibility of multiparameter regularization method in downward continuation for airborne gravity data is demonstrated.
- airborne gravity,
- downward continuation,
- Tikhonov regularization,
- multi-parameter

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A Multi-Parameter Regularization Method in Downward Continuation for Airborne Gravity Data

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