Fourier reconstruction with sparse inversion
Fourier reconstruction with sparse inversion
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DOI：
10.1111/j.1365-2478.2006.00580.x
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发表时间：
2007-03
影响因子：
2.6
通讯作者：
P. Zwartjes;A. Gisolf
中科院分区：
文献类型：
--
作者：
P. Zwartjes;A. Gisolf
地震数据重建问题是一个反问题，其目标是获得合成信号的傅里叶系数。一旦找到这些系数，就用它们在均匀间隔的网格上重建数据。包括一个非二次模型权函数来稳定反演，并提供通过间隙插值所需的额外信息。在非均匀采样痕迹、图像和海洋三维VSP拍摄记录的重建中，与没有非二次模型权函数的傅里叶重建相比，该方法在大间隙下显示出更好的重建效果，并且对反演中使用的空间带宽不太敏感。
The problem of seismic data reconstruction is posed as an inverse problem where the objective is to obtain the Fourier coefficients that synthesize the signal. Once the coefficients have been found, they are used to reconstruct the data on a uniformly spaced grid. A non‐quadratic model weight function is included to stabilize the inversion and to provide the additional information required to interpolate through gaps. In the reconstruction of a non‐uniformly sampled trace, an image and a marine 3D VSP shot‐record, the method shows improved reconstruction in large gaps and is less sensitive to the spatial bandwidth used in the inversion compared to Fourier reconstruction without the non‐quadratic model weight function.