Simulation and analysis of GPR signal based on stochastic media model with an ellipsoidal autocorrelation function |
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| Institution: | 1. College of Geo-exploration Science and Technology, Jilin University, Changchun 130026, China;2. Applied Mathematics Research Center, Delaware State University, Dover, DE 19901, USA;3. Earthquake Administration, Hebei, 05000, China;1. Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai 201804, China;2. Shanghai Engineering Research Center of Urban Infrastructure Renewal, Shanghai 200032, China;3. Henan Wanli Transportation Technology Group Co., Ltd, Henan, 461000, China |
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| Abstract: | Target detection using ground penetrating radar (GPR) is based on the contrast between the electrical parameters of the target and the background medium, such as dielectric permittivity, conductivity and permeability. The application mainly concentrates on the detection of the medium interface and the target shape. In any theoretical study, a simulation model is built with a homogeneous medium. However, real detection encounters heterogeneous media which might produce scattering and diffraction at electrical interfaces and distort the radar pulse shape and affect the detection resolution. In this paper, we build multi-scale random media model with an ellipsoidal autocorrelation function and use FDTD method to simulate the GPR signal response. We then estimate and analyze the arrival time, layer thickness, permittivity and the physics relation in different scale random models according to the S transform method and the transmission wave method. The results demonstrate that we can use GPR to obtain geophysical information of multi-scale heterogeneous media, and provide a foundation for real media detection and complex media inversion. |
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