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地震资料快速两步插值算法
引用本文:马泽川,李勇,陈力鑫,陈杰,王鹏飞,李雪梅. 地震资料快速两步插值算法[J]. 石油地球物理勘探, 2020, 55(5): 997-1004. DOI: 10.13810/j.cnki.issn.1000-7210.2020.05.008
作者姓名:马泽川  李勇  陈力鑫  陈杰  王鹏飞  李雪梅
作者单位:1. 成都理工大学地球物理学院, 四川成都 610059;2. 油气藏地质及开发工程国家重点实验室(成都理工大学), 四川成都 610059
基金项目:本项研究受国家科技重大专项“大型油气田及煤层气开发重大专项——时频聚集流体识别方法研究”(2016ZX05026001-004)、四川省重点研发计划项目“基于人工智能去噪的页岩气储层微裂缝识别研究”(2020YFG0157)联合资助。
摘    要:为了提高插值效率以及选择最优的插值方案,基于凸集投影(POCS)算法和迭代阈值(IST)算法的分析公式,在前人的基础上发展了快速迭代收缩阈值(FIST)算法和快速凸集投影(FPOCS)算法。基本思想是:将前一步的插值结果与前两步的插值结果通过线性算子进行线性组合,得到迭代收缩算子;通过插值算法进行插值。同时引入质量控制新准则,提高了计算效率和精度。使用IST、POCS、FIST和FPOCS等算法分别对由Seismic Lab建立的四层地震模型、Marmousi模型的不完整地震数据进行插值,筛选出最佳的阈值策略,并最终由实际地震资料进行验证。结果表明:阈值指数递减策略较恒阈值、阈值线性递减、数据驱动阈值等策略获得的插值结果的信噪比更高;结合终止准则,最大迭代次数为35~50时,即可获得较好的插值效果。

关 键 词:快速迭代收缩阈值算法  快速凸集投影算法  阈值策略  终止准则  地震资料插值  
收稿时间:2019-12-30

Fast two-step interpolation algorithm for seismic data
MA Zechuan,LI Yong,CHEN Lixin,CHEN Jie,WANG Pengfei,LI Xuemei. Fast two-step interpolation algorithm for seismic data[J]. Oil Geophysical Prospecting, 2020, 55(5): 997-1004. DOI: 10.13810/j.cnki.issn.1000-7210.2020.05.008
Authors:MA Zechuan  LI Yong  CHEN Lixin  CHEN Jie  WANG Pengfei  LI Xuemei
Affiliation:1. School of Geophysics, Chengdu University of Technology, Chengdu, Sichuan 610059, China;2. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation(Chengdu University of Technology), Chengdu, Sichuan 610059, China;
Abstract:In order to improve interpolation efficiency and choose an optimal interpolation scheme,based on the analysis formula of convex set projection (POCS) algorithm and iterative threshold (IST) algorithm,fast iterative shrinking threshold (FIST) algorithm and fast convex set projection (FPOCS) algorithm are developed.The basic idea is that the interpolation results from the previous step and the interpolation results from the first two steps are linearly combined with the linear operator to get the iterative contraction operator,and the interpolation algorithm is used for interpolation.Then a new quality control criterion is introduced to improve the computational efficiency and accuracy.IST,POCS,FIST and FPOCS algorithms are used to interpolate the incomplete seismic data of the four-layer seismic model and Marmousi model established by Seismic Lab,and the best threshold strategy is selected and finally verified by actual seismic data.The results show that the signal-to-noise ratio from an exponentially declining thre-shold is higher than those from a constant threshold,a linearly declining threshold and a data-driven threshold.Combined with termination criterion,when the maximum iterations are 35 to 50,a better interpolation effect can be obtained.
Keywords:fast iterative shrinking threshold algorithm  fast convex set projection algorithm  thre-shold strategy  termination criterion  seismic data interpolation  
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