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Separation of scales in FWI and RFWI. The First Fresnel zone seen from an angle

机译:FWI和RFWI中的刻度分离。从一个角度看第一个菲涅耳区

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The propagative wavenumbers are carried by the First Fresnel zone of the velocity gradient of RFWI and diving-waves FWI. Noting that the parameter-dependent radiation patterns follow iso-angle curves, we compare the ellipse of the First Fresnel with the iso-angles curves. The latter are arcs of circles in homogeneous media. We show that the propagative part of the First Fresnel Zone can be precisely carved by a local angle filtering, more precisely that the implicit angle filtering carried by the velocity/impedance radiation pattern. For a given central frequency, the explicit angle filter requires only the knowledge of the local scattering angle and of the clock time of the wavefield snapshots.
机译:传播波数由RFWI和潜水波FWI速度梯度的第一菲涅耳区携带。注意到依赖于参数的辐射模式遵循等角度曲线,我们将第一菲涅耳的椭圆与等角度曲线进行了比较。后者是均匀介质中的圆弧。我们证明,第一菲涅耳区的传播部分可以通过局部角度滤波精确地切割,更精确地说,通过速度/阻抗辐射模式进行隐式角度滤波。对于给定的中心频率,显式角度滤波器只需要知道局部散射角和波场快照的时钟时间。

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