摘要：对地震数据中残缺的道集进行重建是一项非常有意义和有趣的工作，本文详细介绍了基于抛物Radon变换的对空白道集进行外推和内插的道集重建方法，该方法要求一个分辨率较高的模型空间，本文采用奇异值分解（SVD）的方法在最小二乘意义下求取该模型空间，然后进行抛物Radon反变换，这时空白道集就会被部分重建。经过几次迭代之后，我们就可以得到一个空白道集被完全重建的道集。本文详细分析了影响道集重建的各种因素，并用该方法对合成数据以及Marmousi数据进行了处理和分析。
ABSTRACT: Restoration of missing offsets and trace interpolation is an interesting and important problem in seismic data processing. We present a method based on parabolic Radon transform to reconstruct the CMP gathers in detail. The method described requires model space with high resolution to velocity, therefore, we use singular value decomposition（SVD）to compute the model space in the least square sense to achieve this point. After performing inverse parabolic Radon transform, the original missing traces can be partially restored. Several iterations forward and inverse transform, every time replacing the missing trace in the original gather with the partially reconstructed ones, almost fully restore the missing traces. Several factors that affect the effect of restoration are examined and discussed, along with experiments on synthetic as well as on Marmousi data set .
1．引言
2．抛物Radon变换的理论基础
3. 数值实验及分析
4.0 结论
参考文献
