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首页> 外文期刊>IEEE Transactions on Geoscience and Remote Sensing >Efficient Stolt Migration for Large Nonuniform Single Borehole Radar Surveys
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Efficient Stolt Migration for Large Nonuniform Single Borehole Radar Surveys

机译:大型非均匀单孔雷达测量的有效位移迁移

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摘要

In this paper, the formulation of Stolt migration is modified for impulse borehole radar imaging in large nonuniform subsurface scenarios. By applying the nonuniform fast Fourier transform (FFT) to the acquisition of the frequency-wavenumber spectrum (FWS), the efficiency of Stolt migration for nonuniform surveys is improved. First, each nonuniform exponent basis in Fourier transform is approximated with a weighted summation of several uniform exponent bases. Then, the nonuniform samples with the same uniform exponent basis are accumulated to generate a larger virtual uniform sample set. The FWS of nonuniform samples is approximated with the virtual sample set by FFT. Finally, angular frequency interpolation and inverse FFT are performed over a sample FWS to reconstruct the reflectivity map of the imaging area. The selection of approximation parameters is discussed to make a tradeoff between approximation error and computational cost. The improved Stolt migration technique is compared with the conventional backprojection method and the Kirchhoff migration method on synthetic data and validated by a single borehole radar experiment in a subsurface scenario. The results show that the developed Stolt migration is superior to the conventional methods in terms of computational cost, cross-range resolution, and the ability to reconstruct the targets.
机译:在本文中,修改了Stolt偏移的公式,以用于大型非均匀地下情况下的脉冲钻孔雷达成像。通过将非均匀快速傅立叶变换(FFT)应用于频率-波数频谱(FWS)的采集,Stolt迁移用于非均匀测量的效率得到了提高。首先,用几个统一指数基的加权和来近似傅里叶变换中的每个非均匀指数基。然后,累积具有相同均匀指数基础的非均匀样本,以生成较大的虚拟均匀样本集。非均匀样本的FWS与通过FFT设置的虚拟样本近似。最后,对样本FWS执行角频率内插和逆FFT,以重建成像区域的反射率图。讨论了近似参数的选择,以在近似误差和计算成本之间进行权衡。改进后的Stolt偏移技术与常规反投影方法和Kirchhoff偏移方法在合成数据上进行了比较,并通过地下井下的单个钻孔雷达实验进行了验证。结果表明,所开发的Stolt偏移在计算成本,跨范围分辨率和重建目标的能力方面优于常规方法。

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