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快速共轭梯度法频率域声波全波形反演
引用本文:张广智,孙昌路,潘新朋,陈洪亮,姜岚杰,温铁民.快速共轭梯度法频率域声波全波形反演[J].石油地球物理勘探,2016,51(4):730-737.
作者姓名:张广智  孙昌路  潘新朋  陈洪亮  姜岚杰  温铁民
作者单位:1. 中国石油大学(华东)地球科学与技术学院, 山东青岛 266580; 2. 海洋国家实验室海洋矿产资源评价与探测技术功能实验室, 山东青岛, 266580; 3. 中国天辰工程有限公司, 天津 300400; 4. 中海油能源发展股份有限公司工程技术分公司, 天津 300452; 5. 东方地球物理公司研究院, 河北涿州 072751
摘    要:针对全波形反演中Hessian矩阵庞大、共轭梯度法收敛速度慢的问题,提出了一种新的算法--快速共轭度梯度法(Fast Conjugate Gradient,FCG)。该方法通过引入新的变量对共轭梯度法进行改进,在加快收敛速度的同时使收敛更加稳定,额外的计算量是少许的点乘计算,计算量增加很少。将该法应用于频率域声波全波形反演中,并用简单的凹陷模型和抽稀的复杂Marmousi模型进行测试。测试结果表明:相对于传统的共轭梯度法,该方法能加快收敛速度,同时深部反演效果更好。

关 键 词:快速共轭梯度法  频率域  全波形反演  
收稿时间:2015-05-21

Acoustic full waveform inversion in the frequency domain based on fast conjugate gradient method
Zhang Guangzhi,Sun Changlu,Pan Xinpeng,Chen Hongliang,Jiang Lanjie,Wen Tiemin.Acoustic full waveform inversion in the frequency domain based on fast conjugate gradient method[J].Oil Geophysical Prospecting,2016,51(4):730-737.
Authors:Zhang Guangzhi  Sun Changlu  Pan Xinpeng  Chen Hongliang  Jiang Lanjie  Wen Tiemin
Affiliation:1. School of Geosciences, China University of Petroleum (East China), Qingdao, Shandong 266580, China; 2. Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao, Shandong 266580, China; 3. China Tianchen Engineering Corporation (TCC), Tianjin 300400, China; 4. EnerTech-Drilling & Production Co., CNOOC, Tianjin 300452, China; 5. GRI, BGP Inc., CNPC, Zhuozhou, Hebei 072751, China
Abstract:Hessian matrix in the full waveform inversion is huge and the convergence of the gradient method is slow. To solve the problem, we propose in this paper a new algorithm, fast conjugate gradient (FCG) method. The method introduces a new variable to transform the conjugate gradient method, which accelerates the convergence and makes convergence more stable. The method needs little more calculation of multiplication. The proposed method is applied to the acoustic full waveform inversion in the frequency domain and it is also tested in the simple depression model and the thinning complex Marmousi model. The tests show that the proposed method can accelerate convergence while the resolution of deep layer is better.
Keywords:fast conjugate gradient (FCG)  frequency domain  full waveform inversion  
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