Anisotropic Radon Transform and Its Application to Demultiple
Anisotropic Radon Transform and Its Application to Demultiple
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DOI：
10.1002/cjg2.20130
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发表时间：
2014-09
期刊：
影响因子：
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通讯作者：
Xiang-bo Gong;Han Liguo;Hong-Jian Li
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文献类型：
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作者：
Xiang-bo Gong;Han Liguo;Hong-Jian Li
对于在各向异性介质中采集的大炮检距地震数据，虽然采用了高分辨率的双曲Radon变换，但Radon域的能量仍然不收敛。为了克服这一问题，在Radon变换的积分路径中考虑了各向异性因素的影响。通过引入非双曲线时差公式中的各向异性各向异性参数η，可以在大炮检距的水平层中准确地描述走时曲线。导出了具有三个参数的Radon正反变换的积分方程式，即偏移量、慢度和非椭圆度。对于各向异性Radon变换的时变性，频域快速算法在离散化过程中不适用。本文采用最优相似度加权Gauss-Seidel迭代算法，既保持了高分辨率，又具有较高的计算效率。以各向异性模型和实际大炮检距海洋地震资料为例，证明了该方法的有效性和高效性。
For the seismic data acquired in the anisotropic medium and with large offset, although we use the high-resolution hyperbolic Radon transform, the energy of the Radon domain is still not convergent. In order to overcome this problem, the influence of the anisotropic factor is considered in the integral path of Radon transform. By introducing the anisotropic anellipticity parameters η from non-hyperbolic moveout formula, the travel-time curve can be accurately described in the horizontal layer for large offset. We derive the integral equation of forward and inverse Radon transform with three parameters, which are the offset, the slowness and the anellipticity. For time-varying of anisotropic Radon transform, the fast algorithm in the frequency domain is not applicable in the process of discretization. This paper adopt the optimal semblance weighted Gauss-Seidel iterative algorithm which not only keeps the high resolution but also has the high calculation efficiency. In the examples of the anisotropic model and real marine seismic data with large offset, this method shows the effective and efficient application to demultiple.