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《Chinese Journal of Geophysics》 2017-12
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Adaptive edge finite element modeling of the 3D CSEM field on unstructured grids

LIU Ying;LI Yu-Guo;HAN Bo;Key Lab of Submarine Geosciences and Prospecting Techniques,Ministry of Education and College of Marine Geosciences,Ocean University of China;Evaluation and Detection Technology Laboratory of Marine Mineral Resources,Qingdao National Laboratory for Marine Science and Technology;  
We present a 3D finite-element(FE)algorithm for the CSEM forward problem based on the secondary field formulation.In this method,the electric fields are approximated by edge elements rather than nodal elements,so that spurious solutions can be eliminated.The computational domain is subdivided into unstructured tetrahedral elements,which allows using complex model geometries including bathymetry and tilted electrical interfaces.To further improve the accuracy of the FE solution,adaptive grid refinement guided by an a posteriori error estimator is performed iteratively.To demonstrate the performance of the presented algorithm,we first benchmark FE solutions against analytical solutions for the 1D canonical model,and show that the errors of FE solutions decrease rapidly at the first few grid refinement iterations,and after 10 refinement iterations a highly accurate solution is achieved,with the relative amplitude error of electromagnetic fields close to 1 percent and the error in phase less than 1°.Then we compare FE solutions and finite volume(FV)solutions for the 3D canonical model,yielding an excellent agreement with each other.Finally,forward responses of a slightly complicated model in which a 3D sloping conductor is presented is adequately modeled by the FE algorithm proposed in this paper.The synthetic numerical examples indicate that the presented FE algorithm is very effective,well suitable to handle complex models with unstructured meshes employed,and highly precise modeling results can be obtained by performing the adaptive grid refinement.
【Fund】: 国家自然科学基金重点项目(41130420);; 国家自然科学青年基金项目(41604063)联合资助
【CateGory Index】: P631.325
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【Citations】
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5 ZHOU JianMei;LIU WenTao;LI Xiu;QI ZhiPeng;LIU Hang;College of Geology Engineering and Geomatics,Chang′an University;;Research on the 3D mimetic finite volume method for loop-source TEM response in biaxial anisotropic formation[J];地球物理学报;2018-01
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【Secondary Citations】
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