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《Chinese Journal of Geophysics》 2018-01
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Research on the 3D mimetic finite volume method for loop-source TEM response in biaxial anisotropic formation

ZHOU JianMei;LIU WenTao;LI Xiu;QI ZhiPeng;LIU Hang;College of Geology Engineering and Geomatics,Chang′an University;  
In this paper,a 3 Dforward modeling of loop-source transient electromagnetic(TEM)response in biaxial anisotropic formation is proposed by using the mimetic finite volume method(MFVM).Firstly,the definition of inner product is introduced,and the governing equation of TEM method is transformed into a weak form under a natural boundary condition.The computational domain is divided into a series of control volume units.The staggered grid is used to simulate the finite volume space discretization of the governing equations,including the curl operator discretization and the spatial inner product discretization.Discretization of the curl operator is based on Stokes′Theorem.Discretization of inner product in the biaxial anisotropic formation is based on midpoint average.The backward Euler time stepping method,which is unconditionally stable,is chosen to discretize the governing equation in the time domain.Electromagnetic field distribution at the initial time is obtained by solving the magnetic field of the stable current loop source in theuniform space.When solving the governing equations in the time domain,the MFVM adopts double time step size for each m constant time steps(here m is an input parameter)and uses the direct method solver PARDISO to ensure the accuracy and efficiency where the coefficient matrix just needs to decompose only once for each mtime steps.Finally,the computational accuracy and computational efficiency of the proposed algorithm are verified by comparing the results of the forward modeling with a layered model and the anisotropic half-space model.The forward response of the 3 D biaxial anisotropy model shows that the horizontal conductivity has a significant impact on the electromagnetic response,while the vertical direction of the conductivity change has little effect.The main reason is that the induced current generated by the loop source is mainly horizontal,so the response is primarily affected by the conductivity in the horizontal direction,while the conductivity in the vertical direction has little effect.
【Fund】: 国家自然科学基金重点项目(51139004);国家自然科学基金(41704108)联合资助;; 中国博士后基金(332100150023)
【CateGory Index】: P631.325
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Zuo Weihua;Geophysical Prospecting Research Institute,China Coal Geology Bureau;;A Self-adaptive 1D Inversion Method of Transient Electromagnetic with Constraints[J];工程地球物理学报;2018-01
2 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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