论文详情
抛物线Radon变换是地震数据多次波压制的常用算法。三维Radon变换考虑了地震波场的三维传播特性,可更精确地描述波场的传播特征,能取得更好的效果。但受离散采样和有限采集孔径的影响,传统最小二乘三维Radon变换存在着分辨率低的问题,影响一次波和多次波的分离。为此,对多次波压制中的几种高分辨率抛物线Radon变换算法进行了对比分析研究。首先详细介绍了三维Radon变换的最小二乘算法,之后分别给出了迭代重加权、低频约束以及迭代阈值收缩三种高分辨率Radon变换算法,并用模拟数据测试了每种算法的计算效果、计算效率,分析了各算法的抗噪性能及对小剩余时差多次波的压制能力。结果表明,频率域高分辨率算法只能提高变换域横向分辨率,时间频率混合域算法可以同时提高横向和纵向分辨率;各高分辨率算法均具有较好的抗噪能力,且低频约束高分辨率算法在小剩余时差多次波压制方面效果最佳。
The parabolic Radon transform is one of the most commonly used methods for multiple attenuation of seismic data.The 3D Radon transform considers the three-dimensional propagation character of the seismic wave field,which can describe the wave field more accurately and achieve better results.However,due to discrete sampling and limited acquisition aperture,Radon domain data using the traditional least-squares 3D Radon transform has the problem of aliasing,which affects the separation of primary and multiples.Therefore,several high-resolution 3D parabolic Radon transform algorithms were compared and analyzed in this study.First,the least-squares algorithm of the 3D Radon transform is described in detail.Then,three high-resolution Radon transform algorithms,namely iterative reweighting,lower-frequency constraints,and iterative threshold shrinkage,are presented separately.The results and efficiency of each method are illustrated using synthetic data.The anti-noise performance and suppression ability of each method in multiples with small residuals were also analyzed.The results show that high-resolution algorithms in the frequency domain can improve the horizontal resolution in the transform domain,and the hybrid time-frequency domain algorithm can improve both horizontal and vertical resolutions.All high-resolution algorithms have good denoising ability,and the lower-frequency-constrained high-resolution algorithm has the best performance in multiple suppressions with small residuals.
国家重点研发计划项目(2019YFC0312004)、中国石油天然气集团有限公司—中国石油大学(北京)战略合作科技专项(ZLZX2020-03)、中国石油大学(北京)科研基金资助项目(ZX20200083)共同资助。