Application of Total Least Squares Joint Adjustment to Volcano Inversion of Mogi Model

WANG Leyang; YU Hang

doi:10.13203/j.whugis20160469

Volume 43 Issue 9

Sep. 2018

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Geomatics and Information Science of Wuhan University > 2018 > 43(9): 1333-1341. > DOI: 10.13203/j.whugis20160469

WANG Leyang, YU Hang. Application of Total Least Squares Joint Adjustment to Volcano Inversion of Mogi Model[J]. Geomatics and Information Science of Wuhan University, 2018, 43(9): 1333-1341. DOI: 10.13203/j.whugis20160469

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Application of Total Least Squares Joint Adjustment to Volcano Inversion of Mogi Model

WANG Leyang^{1, 3, 4,},
YU Hang^{1, 2}

1.
Faculty of Geomatics, East China University of Technology, Nanchang 330013, China
2.
School of Environment Science and Spatial Informatics, China University of Mining and Technology, Xuzhou 221116, China
3.
Key Laboratory of Watershed Ecology and Geographical Environment Monitoring, NASG, East China University of Technology, Nanchang 330013, China
4.
Key Laboratory for Digital Land and Resources of Jiangxi Province, East China University of Technology, Nanchang 330013, China

Funds:

The National Natural Science Foundation of China 41664001

The National Natural Science Foundation of China 41204003

Support Program for Outstanding Youth Talents in Jiangxi Province 20162BCB23050

the National Key R & D Program of China 2016YFB0501405

Science and Technology Project of the Education Department of Jiangxi Province GJJ150595

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Author Bio:
WANG Leyang, PhD, associate professor, specializes in geodetic inversion and geodetic data processing. E-mail:wleyang@163.com
Received Date: July 05, 2017
Published Date: September 04, 2018

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Abstract

Abstract

In this paper, a total least squares joint (TLS-J) adjustment method is proposed to the inversion of Mogi model with vertical and horizontal observational data. The proposed method considers the errors in both observation vector and coefficient matrix of the functional model of joint adjustment problem. Three forms of the minimum discriminate function methods are adopted to determine the weight scaling factor which are used to weigh the vertical and horizontal observation data. In view of the existing ill-posed problems in the joint adjustment, the L-curve method is adopted to determine the ridge parameter. Through practical examples, the total least squares joint method is systematically applied to the inversion of the Mogi model of Changbaishan Tianchi volcano. The results show that the discriminant function as the minimum can obtain the reasonable value of pressure source parameters and the relative weight ratio, which has a certain referential value to practical applications.
- total least squares,
- joint adjustment,
- weight scaling factor,
- Mogi model,
- ill-posed problem

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References (26)

References

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Application of Total Least Squares Joint Adjustment to Volcano Inversion of Mogi Model

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