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《Chinese Journal of Geophysics》 2012-10
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Three-dimensional controlled source electromagnetic inversion using non-linear conjugate gradients

WENG Ai-Hua,LIU Yun-He,JIA Ding-Yu,LIAO Xiang-Dong,YIN Chang-Chun College for Geoexploration of Science and Technology,Jilin University,Changchun 130026,China  
There are two objects concerned in this paper:(1) to verify the feasibility of nonlinear conjugate gradients inversion(NLCG) applied to three dimensional(3D) data from controlled source electromagnetic method(CSFEM);(2) to study the necessity and effect of source information on the inversion of 3D CSFEM data.NLCG inversion with heuristic approach to find optimal step length is used.During inversion,Helmholtz equation based on secondary electric field governed by primary filed as source is first computed by using staggered grid finite difference scheme.The x-component of electric fields Ex with random noises of Gaussian type are put into the inversion.Two theoretical models are designed to prove the feasibility of the inversion method.One has two anomalies in the top layer of the background and the other contains a conductive body out of survey area where no resistivity anomaly exists.Both inversions start from background model,and terminate after 120 iterations.Numerical results show that(1) the three-dimensional resistivity distributions from NLCG inversion coincide with the theoretical models,validating that NLCG can be applied to three-dimensional controlled source electromagnetic inversion;(2) NLCG inversion needs a relatively large number of iterations to achieve error threshold,revealing the inherent slow convergence of NLCG inversion method;(3) in order to suppress the effect of the conductivity abnormal out of survey area on the target conductivity distribution,information of controlled source must be considered during 3D CSFEM inversion.
【Fund】: 国家自然科学基金(40874050)资助
【CateGory Index】: P631.325
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