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《Chinese Journal of Geophysics》 2007-03
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Inversion of ground-penetrating radar data for 2D electric parameters

WANG Zhao-Lei~1,ZHOU Hui~1, LI Guo-Fa~21 College of Marine Geoscience,Ocean University of China,Qingdao 266100, China2 CNPC Key Lab of Geophysical Exploration, China University of Petroleum (Beijing), Beijing 102249, China  
This paper derives inversion formulas for reconstructing electric parameters of a medium from observed ground-penetrating radar (GPR) data based on the two-dimensional (2D) Maxwell's equations. By introducing an adjoint field calculated using the Maxwell's equations, the gradients of the objective function with respect to unknown parameters can be expressed explicitly. The procedure of inversion is, first of all, to build up an initial model and to calculate guessed data. Secondly, to calculate adjoint fields by solving the adjoint wave equations, and thirdly to calculate the gradients and to modify the model. These steps are repeated until an acceptable result is obtained. In the modification of the model, the conjugate gradient method is used. Three reconstruction examples are illustrated. A permittivity profile is reconstructed from synthetic data received on a rough surface. A permittivity and a conductivity profile are reconstructed simultaneously from experimental data. These results are compared with the result obtained by using an inversion method based on the scalar wave equation where absorption is neglected, and with a migration profile obtained by using a wave equation migration method.
【Fund】: 国家自然科学基金项目(40574053和40104004);; 教育部新世纪优秀人才支持计划资助
【CateGory Index】: P631.34
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