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一种基于平面波静态编码的最小二乘逆时偏移方法
引用本文:黄建平,李闯,李庆洋,郭书娟,段心彪,李继光,赵胜天,步长城.一种基于平面波静态编码的最小二乘逆时偏移方法[J].地球物理学报,2015,58(6):2046-2056.
作者姓名:黄建平  李闯  李庆洋  郭书娟  段心彪  李继光  赵胜天  步长城
作者单位:1. 中国石油大学(华东)地球物理系, 青岛 266580; 2. 中国石化南京物探研究院, 南京 210000; 3. 胜利油田物探研究院, 山东东营 257000
基金项目:国家973课题(2014CB239006,2011CB202402),国家自然科学基金(41104069,41274124),山东省自然科学基金(ZR2011DQ016),中央高校科研业务费专项基金(R1401005A)联合资助.
摘    要:平面波偏移是一种面炮偏移方法,相对于常规逐炮偏移,其具有较高的计算效率.然而常规平面波偏移方法成像精度低,且成像时会产生串扰噪音.为此,本文在实现常规平面波偏移算法基础上,引入反演思想实现了基于静态平面波编码的最小二乘偏移理论方法及处理流程,在优化算法基础上对平层模型和复杂砂砾断块模型进行了成像测试并与其他成像策略进行对比.研究结果表明:基于时移编码的平面波最小二乘偏移能有效抑制低频成像噪音和串扰噪音,补偿中深部成像能量,是一种较为有效的保幅成像策略.

关 键 词:平面波偏移  岩性成像  平面波编码  最小二乘偏移  保幅成像  
收稿时间:2014-05-28

Least-squares reverse time migration with static plane-wave encoding
HUANG Jian-Ping,LI Chuang,LI Qing-Yang,GUO Shu-Juan,DUAN Xin-Biao,LI Ji-Guang,ZHAO Sheng-Tian,BU Chang-Cheng.Least-squares reverse time migration with static plane-wave encoding[J].Chinese Journal of Geophysics,2015,58(6):2046-2056.
Authors:HUANG Jian-Ping  LI Chuang  LI Qing-Yang  GUO Shu-Juan  DUAN Xin-Biao  LI Ji-Guang  ZHAO Sheng-Tian  BU Chang-Cheng
Institution:1. Department of Geophysics, China University of Petroleum (East China), Qingdao 266580, China; 2. SINOPEC Geophysical Research Institute, Nanjing 210000, China; 3. Shengli Geophysical Research Institute of SINOPEC, Dongying Shandong 257000, China
Abstract:To solve the exploration problem of widely distributed fault block reservoirs in China, high-density seismic acquisition methods with small surface element and high coverage times become more popular recently which results in the huge dataset for seismic processing. Plane-wave migration is a kind of areal shot migration method which can process enormous data of high-density acquisition with much higher computational efficiency compared with shot domain migration. But conventional plane-wave migration produces low quality images with crosstalk. To solve these problems, the paper introduces the plane-wave migration to the inversion framework and presents the theory and work flow of least-squares reverse time migration with static plane-wave encoding.The key points of plane-wave least squares reverse time migration can be divided into two parts. Firstly, the plane-wave decomposition is applied to the shot data which can be performed by using some delayed-shot variant of slant-stack processing. This involves applying a linear time delay to the shot records. And the time delay is also applied to the corresponding sources. Note that there is one-to-one correspondence between source encoding and encoding to common shot gathers. The input data of migration is compressed a lot after plane-wave encoding which improves the computational efficiency. Secondly, the misfit function of plane-wave least squares reverse time migration is defined as the data difference between predicted plane-waves by Born modelling and observed plane-waves in the pre-stack migration. The conjugate gradient method is implemented to find the solution that minimizes the misfit function. However, the searching of CG method becomes very slow after several iterations in practical application, so we set the steepest descent direction as the gradient after several iterations to restart the CG method. One other thing to note is that the migration results are updated separately with different plane-waves and stacked together after the iterations are finished.The plane-wave least squares reverse time migration is firstly tested via the synthetic data set with the three layer medium model to verify the validity of the proposed method. The plane-wave reverse time migration is also applied to the model for better comparison. The comparison of imaging quality, vertical amplitude and transverse amplitude balance are presented which illustrates the advantages of the proposed method. The stable convergence also proves the robustness of the method. Then, the proposed method is applied to a complex fault block model in Shengli Oil-field to test its applicability. Several fault blocks are distributed in the mid-deep part and a high steep structure locates on the right of the model. The strong velocity variation, the burial depth and fuzzy boundary of fault blocks make it a good velocity model to test the resolution of the imaging method. The imaging results of the proposed method is compared with the reverse time migration, the split step migration and least-squares revere time migration results, which show that the proposed method can produce high quality images similar to least-squares reverse time migration but only np/ns times computation is needed (ns is the number of the shots and np is the number of the encoded plane-waves).The paper presents the theory of prestack least-squares reverse time migration with a static plane-wave encoding technique. From the imaging test we can get the conclusions including: (1) the proposed method has the advantages of resolution enhancement and amplitude compensation in mid-deep part with the increase of iterations; (2) the crosstalk introduced by plane-waves can be suppressed by the stacking of images from different plane-waves and the optimization; (3) the computation and input/output cost is reduced a lot with the plane-waves encoding. Besides, the common image gathers can be extracted efficiently from the migration results of the proposed method which is also available for the migration velocity analysis and our next work will be focused on this part. However, the proposed method is only implemented with the fixed geometry and another point of our next work is to modify the method to fit irregular geometry.
Keywords:Plane-wave migration  Lithology imaging  Plane-wave encoding  Least-square migration  Amplitude persevered migration
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