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《Chinese Journal of Geophysics》 2010-10

## GPR numerical simulation of full wave field based on UPML boundary condition of ADI-FDTD

FENG De-Shan,CHEN Cheng-Shen,DAI Qian-Wei School of Info-Physics and Geometries Engineering,Central South University,Changsha 410083,China
ADI-FDTD could break through the restriction of the CFL stability condition and is unconditionally stable.However, UPML boundary condition has the characteristic of absorbing wide frequency and without the necessity for separating electric field from magnetic field.Its simple iterative formula is convenient for compiling program.Synthesizing the merits of both methods, this paper put forward a GPR numerical simulation algorithm of ADI-FDTD based upon UPML boundary condition.Through the discretization of the three two-dimensional Maxwell equations, this paper put forward two sub-time step iterative finite difference formulae of ADI-FDTD and UPML boundary condition of GPR wave, and gave the computing steps in detail separately.Based on this, we could compile the corresponding program, use the program to simulate the two GPR models, get the wiggle maps, scan maps, and snapshots of the two models.By analyzing these section maps and snapshots of the spreading process of GPR wave, we can learn the regularities of radar wave spreading and changing in the space, so as to guide interpretation of radar data reliably and accurately.The simulation result indicated that the ADI-FDTD algorithm based on the UPML boundary condition eliminated the strong reflection of truncating boundaries and it could choose larger time steps.So it could simulate GPR model efficiently, reliably and accurately.
【Fund】： 国家自然科学基金项目(40804027 41074085);; 教育部博士点新教师专项科研基金项目(200805331082);; 湖南省自然科学基金重点项目(09JJ3084);; 湖南省科技计划项目(2008TP4013-2)资助
【CateGory Index】： P631.3
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