Generalized Radon transform inversions for reflectivity in anisotropic elastic media
Generalized Radon transform inversions for reflectivity in anisotropic elastic media
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DOI：
10.1088/0266-5611/13/3/009
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发表时间：
1997-06
期刊：
影响因子：
2.1
通讯作者：
M. Hoop;N. Bleistein
中科院分区：
文献类型：
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作者：
M. Hoop;N. Bleistein
在一般各向异性介质中进行了地震数据广义Radon变换(GRT)反演的分辨率分析。 GRT 反演公式源自体散射体波场的射线玻恩近似。然而，通过在分辨率分析中考虑散射表面而不是参数扰动，我们表明反演提供了反射率图和反射/透射系数作为散射角和方位角的函数。这些系数可以进行任何类型的幅度与角度 (AVA) 或幅度与偏移 (AVO) 分析。通过将反演应用于基尔霍夫近似数据而不是玻恩近似数据，我们表明输出实际上在反射系数中是线性的，因此是跨不连续表面（介质的反射器）的介质参数变化的非线性函数。
The resolution analysis of generalized Radon transform (GRT) inversion of seismic data is carried out in general anisotropic media. The GRT inversion formula is derived from the ray-Born approximation of the wave field for volume scatterers. However, by considering scattering surfaces in the resolution analysis, rather than parameter perturbations, we show that the inversion provides a reflectivity map and reflection/transmission coefficients as functions of scattering angles and azimuths. Those coefficients can be subjected to any type of amplitude versus angle (AVA) or amplitude versus offset (AVO) analysis. By applying the inversion to Kirchhoff approximate data rather than Born approximate data, we show that the output is actually linear in the reflection coefficients and, hence, a nonlinear function of the change in medium parameters across discontinuity surfaces - the reflectors of the medium.