Linear GPR inversion for lossy soil and a planar air-soil interface
Linear GPR inversion for lossy soil and a planar air-soil interface
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DOI：
10.1109/36.975005
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发表时间：
2001-12
期刊：
影响因子：
--
通讯作者：
P. Meincke
中科院分区：
文献类型：
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作者：
P. Meincke
针对固定偏移距探地雷达（GPR），推导了一种考虑土壤和平面气-土界面损失的三维反演方法。该反演方案的正演模型是基于第一玻恩近似和两层介质的并矢绿色函数。使用Tikhonov正则化伪逆算子反演正演模型。这涉及两个步骤：过滤和反向传播。通过数值求解第一类Fredholm积分方程进行滤波，并使用快速傅立叶变换进行反向传播。数值结果表明了该方法的有效性。
A three-dimensional inversion scheme for fixed-offset ground penetrating radar (GPR) is derived that takes into account the loss in the soil and the planar air-soil interface. The forward model of this inversion scheme is based upon the first Born approximation and the dyadic Green function for a two-layer medium. The forward model is inverted using the Tikhonov-regularized pseudo-inverse operator. This involves two steps: filtering and backpropagation. The filtering is carried out by numerically solving Fredholm integral equations of the first kind and the backpropagation is performed using fast Fourier transforms. Numerical results are provided to illustrate the performance of the inversion scheme.