Separation of prestack seismic diffractions using an improved sparse apex-shifted hyperbolic Radon transform

Separation of prestack seismic diffractions using an improved sparse apex-shifted hyperbolic Radon transform
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使用改进的稀疏顶点位移双曲 Radon 变换分离叠前地震衍射

DOI:
10.1071/eg16031
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发表时间:
2016-08
影响因子:
0.9
通讯作者:
Wang Zhihui
Wang Zhihui
中科院分区:
地球科学4区
文献类型:
--
作者:
Gong Xiangbo;Yu Chenxia;Wang Zhihui

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顶移双曲拉东变换(ASHRT)是标准双曲拉东变换(HRT)的扩展,它将基函数的顶沿偏移量进行平移。在本文中,我们开发了一种改进的稀疏ASHRT,用于在叠加前将衍射与反射分离。为了加快计算速度,将时域ASHRT的正演算子和伴随算子替换为基于傅里叶核stolt的建模和成像算子。为了克服速度变化的限制,实现了时间轴拉伸。与时域算子相比,计算成本更低,可以用一个速度将顶点移位事件折叠起来。同时,我们引入了快速迭代收缩阈值算法(fast迭代收缩阈值算法)的稀疏性促进反演,该算法生成了一个稀疏的Radon面板,可以方便地分离衍射能量。两个变速度模型的综合算例表明,我们的命题是鲁棒和有效的。另一个海洋数据实例进一步证明了该方法在叠前地震衍射分离中的有效性。我们开发了一种改进的稀疏顶移双曲Radon变换,使用基于傅里叶核stolt的建模和成像算子来分离地震衍射和反射。对时间轴进行了拉伸,克服了多速度模型的局限性,并实现了稀疏性促进反演,提高了Radon面板的分辨率。
The apex-shifted hyperbolic Radon transform (ASHRT) which is defined as an extension of standard hyperbolic Radon transform (HRT) shifts the apexes of basis functions along the offset. In this paper, we develop an improved sparse ASHRT to separate the diffractions from reflections before stacking. To speed up the calculation, the forward and adjoint operators of ASHRT in the time domain are replaced with the Fourier-kernel Stolt-based modelling and imaging operators. To overcome the limitation of velocity variations, the time axis stretching is implemented. With lower computation cost compared to the time domain operators, we can collapse the apex-shifted events with one velocity. Meanwhile, we introduce a sparsity-promoting inversion by the fast iterative shrinkage thresholding algorithm (FISTA), which produces a sparse Radon panel to separate the diffracted energy easily. Two synthetic examples of variable velocity model show that our proposition is robust and efficient. Another marine data example further demonstrates the effectiveness of this method in separation of prestack seismic diffractions. We have developed an improved sparse apex-shifted hyperbolic Radon transform with Fourier-kernel Stolt-based modelling and imaging operators to separate seismic diffractions from reflections. The time axis is stretched to overcome the limitation of the multi-velocity model and a sparsity-promoting inversion is implemented to enhance the resolution of the Radon panel.
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