基于复值曲波变换的地震数据重建方法

传统的地震数据采样必须遵循奈奎斯特采样定理,而野外数据采样可能由于地震道缺失或者勘探成本限制,不一定满足采样定理的要求,因此需要进行叠前数据重建,以满足后续处理的要求。为此,笔者提出一种基于复值曲波变换和凸集投影算法( POCS)的地震数据重建方法。首先引入凸集投影算法和能够刻画地震数据局部化特征的复值曲波变换,在重建过程中针对传统阈值参数收敛速度较慢的缺点,提出了指数平方根衰减规律的阈值参数,并采用硬阈值算子对二维地震数据进行重建,从而降低了迭代次数,提高了重建精度。通过理论数据的研究表明,该方法重建效果显著,最后将该技术应用于实际地震勘探资料,获得较好的应用效果。

A study of seismic data reconstruction based on complex-valued curvelet transform

Traditional seismic data sampling must follow the Nyquist sampling theorem;nevertheless, the field data acquisition can't meet the sampling theorem due to missing traces or exploration cost limits,so we need to reconstruct prestack data to meet the require?ments for subsequent processing.A seismic data reconstruction method based on the Projections Onto Convex Sets ( POCS) algorithm and a complex?valued curvelet transform (CCT) has been introduced in the paper.Firstly,the Projections Onto Convex Sets (POCS) and complex?valued curvelet transform to characterize the local features of seismic data have been introduced.To tackle the disadvantage of slow convergence in traditional threshold parameter during the reconstruction process,the authors also propose an exponential square root decreased threshold and process 2?D seismic data reconstruction with the hard thresholding,which can reduce iterations and im?prove reconstruction efficiency.The case study of synthetic seismic data shows that the effect of this method is fairly good.The authors applied this technology in real seismic data and obtained a good result.