Seismic array theorem and rapid calculation of acquisition footprint noise
Seismic array theorem and rapid calculation of acquisition footprint noise
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DOI：
10.1190/1.1487127
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发表时间：
2001-11
期刊：
影响因子：
3.3
通讯作者：
G. Schuster;Zhaojun Liu
中科院分区：
文献类型：
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作者：
G. Schuster;Zhaojun Liu
偏移剖面中的采集足迹噪声部分由与离散记录几何形状相关的偏移伪影组成。这样的噪声会破坏地震剖面的地层变化、AVO特征和提高石油采收率操作的解释。我们表明，远场基尔霍夫偏移算子的点散射体响应（其揭示了采集足迹噪声）与震源和检波器采样函数的拉伸傅立叶变换成比例。使用光学和电气工程师开发的阵列定理，正交记录几何结构的傅立叶变换可以通过一维解析函数的乘积快速计算。因此，可以针对不同的记录阵列有效地计算偏移剖面中的采集足迹噪声。通过快速试验和错误或通过优化方法，测量计划者可以使用该定理来帮助设计更好的记录几何。
The acquisition footprint noise in migrated sections partly consists of migration artifacts associated with a discrete recording geometry. Such noise can corrupt the interpretation of seismic sections for stratigraphic variations, AVO signatures, and enhanced oil recovery operations. We show that the point scatterer response of the far‐field Kirchhoff migration operator, which reveals acquisition footprint noise, is proportional to the stretched Fourier transform of the source and geophone sampling function. Using the array theorem developed by optical and electrical engineers, this Fourier transform for an orthogonal recording geometry can be calculated quickly by a product of 1‐D analytical functions. Thus, the acquisition footprint noise in migrated sections can be calculated efficiently for different recording arrays. By rapid trial and error or by an optimization method, the survey planner can use this theorem to help design a better recording geometry.