On the imaging of reflectors in the earth
On the imaging of reflectors in the earth
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DOI：
10.1190/1.1442363
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发表时间：
1987-07
期刊：
影响因子：
3.3
通讯作者：
N. Bleistein
中科院分区：
文献类型：
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作者：
N. Bleistein
在本文中，我提出了 Beylkin 反演算子的修改。这种修改考虑了数据的带限性质，并使声速中的不连续性的作用更加精确。这里提出的反演部分消除了玻恩近似的小参数约束。这是通过使用角度相关的几何光学反射系数将所提出的反演算子应用于由基尔霍夫近似表示的向上散射数据来证明的。声速跳跃的完全非线性估计可以从该算法的输出中提取，该算法在前向问题的这些基尔霍夫近似数据的背景下进行解释。这些数据的反演涉及源接收器表面、反射表面和频率的积分。空间积分通过固定相方法计算。输出是反射表面的渐近缩放奇异函数。奇异函数...
In this paper, I present a modification of the Beylkin inversion operator. This modification accounts for the band‐limited nature of the data and makes the role of discontinuities in the sound speed more precise. The inversion presented here partially dispenses with the small‐parameter constraint of the Born approximation. This is shown by applying the proposed inversion operator to upward scattered data represented by the Kirchhoff approximation, using the angularly dependent geometrical‐optics reflection coefficient. A fully nonlinear estimate of the jump in sound speed may be extracted from the output of this algorithm interpreted in the context of these Kirchhoff‐approximate data for the forward problem. The inversion of these data involves integration over the source‐receiver surface, the reflecting surface, and frequency. The spatial integrals are computed by the method of stationary phase. The output is asymptotically a scaled singular function of the reflecting surface. The singular function of a ...