Acta Geodaetica et Cartographica Sinica ›› 2018, Vol. 47 ›› Issue (12): 1571-1580.doi: 10.11947/j.AGCS.2018.20170724

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Determination of Smoothing Factor for the Co-seismic Slip Distribution Inversion

WANG Leyang1,2,3, ZHAO Xiong1,2   

  1. 1. Faculty of Geomatics, East China University of Technology, Nanchang 330013, China;
    2. Key Laboratory of Watershed Ecology and Geographical Environment Monitoring, NASG, Nanchang 330013, China;
    3. Key Laboratory for Digital Land and Resources of Jiangxi Province, Nanchang 330013, China
  • Received:2017-12-20 Revised:2018-08-26 Online:2018-12-20 Published:2018-12-24
  • Supported by:
    The National Natural Science Foundation of China (Nos. 41664001;41204003;41874001);The Support Program for Outstanding Youth Talents in Jiangxi Province (No. 20162BCB23050);The National Key Research and Development Program(No. 2016YFB0501405)

Abstract: For the determination of the smoothing factor (also known as the regularization parameter) in the co-seismic slip distribution inversion, the compromise curve between the model roughness and the data fitting residual is generally used to determine (in order to distinguish the method proposed in this paper, the method is called "L curve" according to its shape). Based on the L-curve, the eclectic intersection curve as a new method are proposed to determine the smoothing factor in this paper. The results of the simulated experiment show that the inversion accuracy of the parameters of the seismic slip distribution with the smoothing factor determined by the eclectic intersection curve method is better than that of the L curve method. Moreover, the eclectic intersection curve method and the L curve method are used to determine the smoothing factor of L'Aquila and Taiwan Meinong earthquake slip distribution inversion respectively, and the inversion results are compared and analyzed. The analysis results show that the L'Aquila and Meinong of Taiwan actual earthquake slip distribution results are in the range of other scholars at home and abroad, and compared with the L curve method, the eclectic intersection curve method has advantages of high computation efficiency, no need to depend on data fitting degree and more appropriate of smoothing factor and so on.

Key words: co-seismic slip distribution, smoothing factor, eclectic intersection curve method, L curve method, the L'Aquila earthquake, the Meinong earthquake

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