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《Progress in Geophysics》 2014-05
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Finite-difference modeling of 2.5-D Transient Electromagnetic

XIN Hui-cui;TANG Jing-tian;XU Zhi-min;Department of Geology and Surveying,Shaanxi Energy Institute;School of Geosciences and Info-Physics,Central South University;Northwest research Institute of Engineering investigations and design;  
In recent years,scholars at home and abroad have carried out a great deal of research on Finite element modeling of 2.5-D Transient Electromagnetic(TEM).A numerical algorithm of Finite-difference method for 2.5-D TEM forward modeling for rectangular loop source has been develop on the basis of previous studies in this paper.From the diffusion equation of the vertical component of magnetic field,Derivation of the difference equation for the algorithm of 2.5-D TEM forward modeling was given.Being initial conditions,all expressions of TEM field in homogenerous half-space generated by a rectangle loop source in the air space were derived through the digital algorithm of sine and cosine transforms,GaverStehfest transform and the inverse Fourier transform etc.Being air-earth boundary conditions, expressions for upward continuation in wave domain were derived and solved.Eventually,the algorithm of Finite difference method for 2.5-D TEM forward modeling was built. The correctness and reliability of 2.5-D FDTD algorithm in this paper are proved by carring out the comparison between the numerical simulations and the 1Danalytical solution and and numerical solution of finite element as well as modeling of typical model.
【Fund】: 国家自然科学基金项目(41174105)资助
【CateGory Index】: P631.325
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