Journal of Jilin University(Earth Science Edition) ›› 2016, Vol. 46 ›› Issue (5): 1538-1549.doi: 10.13278/j.cnki.jjuese.201605302

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Vector Finite Element Method

Yan Jiabin, Huang Xiangyu   

  1. School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
  • Received:2016-01-15 Online:2016-09-26 Published:2016-09-26
  • Supported by:

    Supported by the National Nature Science Foundation of China (40874055) and the Natural Science Foundation of Hunan Province, China (14JJ2012)

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Abstract:

Based on the vector basis function,the generalized variational principle was adopted to deduce the discrete equations of magnetotelluric field.In order to increase the accuracy and efficiency of calculation, the direct method is used to impose boundary conditions, improving condition number of generalco efficient matrix. At the same time, the complex, symmetric,large sparselinear systems was solved by symmetric successive over relaxation preconditioned BICGSTAB method. The international standard model had been calculated,and the contrast with the results in related references had validated the accuracy of the algorithm. The forward modeling on a typical low resistivity model had been carried out, the response of apparent resistivity and phase had been got, and the results of 3D model and 2D model were compared.The results showed that in x direction, the change range of ρyx is less than that of ρxy. The response of both ρyx and ρxy for 3D model in thecentral survey line is similar to the 2D TM mode.

Key words: magnetotelluric method, generalized variational principle, vector finite element method, SSOR precondition, imposition of boundary conditions

CLC Number: 

  • P631.3

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