A True-Amplitude Imaging Method Based on Gaussian Beam Migration and Demigration
A True-Amplitude Imaging Method Based on Gaussian Beam Migration and Demigration
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DOI：
10.1007/s00024-020-02523-y
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发表时间：
2020-06
影响因子：
2
通讯作者：
Shaoyong Liu;R. Wu;B. Feng;Huazhong Wang;Song Guo
中科院分区：
文献类型：
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作者：
Shaoyong Liu;R. Wu;B. Feng;Huazhong Wang;Song Guo
常规地震偏移通常适用于地下的结构成像，但具有定量限制。我们提出了一种成像策略，以获得真振幅成像结果的最小二乘偏移的框架内。高斯光束的迁移和反迁移算子的开发，以产生两个图像，这是用来估计近似逆的海森在成像域通过引入一个非平稳滤波算子。通过将具有估计的逆Hessian的图像校正应用于常规高斯光束偏移结果，得到的图像更接近于真实振幅图像。由于高斯波束传播算子是一种单向波束传播算子，该方法比基于双向波动方程的方法具有更大的灵活性，并且与双向波动方程方法相比，该方法能够以更小的计算代价适应更高频率的成像。数值算例表明了该方法的有效性和高效性。
Conventional seismic migrations are often suitable for structural imaging of the subsurface, but have quantitative limitations. We proposed an imaging strategy for obtaining true-amplitude imaging results within the framework of least-squares migration. Gaussian beam migration and demigration operators are developed to produce two images, which are used to estimate the approximate inverse of the Hessian in the imaging domain by introducing a non-stationary filter operator. By applying an image correction with the estimated inverse Hessian to a conventional Gaussian beam migration result, the resulting image is much closer to the true-amplitude image. Benefiting from the Gaussian beam propagator, which is a one-way beam propagator, the proposed method has more flexibility than the method based on two-way wave equations, and it can be adapted to higher frequency imaging with less computational cost compared to a two-way wave equation method. Some numerical examples are shown to demonstrate the effectiveness and efficiency of the proposed method.