二维时间空间域和频率空间域声波全波形速度反演方法的对比研究  

Research on comparisons of 2D acoustic wave full waveform velocity inversion in time-space domain and frequency-space domain

作　　者：廖建平[1,2,3] 刘和秀[1] 戴世鑫[1] 赵延林[1] ANDREW Hursthouse LIAO jian-ping;LIU He-xiu;DAI Shi-xin;ZHAO Yan-lin;ANDREW Hursthouse(Hunan Provincial Key Laboratory of Shale Gas Resource Utilization, Hunan University of Science and Technology, Xiangtan 411201, China;State Key Laboratory of Coal Resources and Safe Mining, China University of Mining ＆ Technology, Beijing 100083, China;Department of Geology of Hunan University of Science and Technology, Xiangtan 411201, China)

机构地区：[1]湖南科技大学页岩气资源利用湖南省重点实验室,湘潭411201 [2]煤炭资源与安全开采国家重点实验室(中国矿业大学),北京100083 [3]湖南科技大学地质系,湘潭411201

出　　处：《地球物理学进展》2017年第5期2029-2034,共6页Progress in Geophysics

基　　金：国家自然科学基金(41274126;51274097);煤炭资源与安全开采国家重点实验室(中国矿业大学)开放基金(SKLCRSM11KFB01);湖南省自然科学基金(12JJ6035);中国博士后科学基金(2012M541116);湖南省教育厅科研项目14C0462;页岩气资源利用湖南省重点实验室开放基金联合资助

摘　　要：本文将二维时间空间域和频率空间域声波全波形速度反演方法分别应用到Marmousi模型,进行数值试验.两种方法均采用相同的观测系统和其他的参数,理论模型的数值试验结果证实了:使用较多的计算集群的CPU进行二维频率空间域直接法声波全波形反演时,其加速有限(正演数值模拟的计算量主要用于稀疏矩阵的LU分解,炮点计算波场时为线性关系).二维时间空间域声波全波形反演计算时更灵活,多炮同时计算时,可以多倍提高其计算效率;二维声波全波形速度反演时,直接法求解频率空间域的计算速度远快于时间空间域,所需要的计算机内存也比时间空间域少.二维声波全波形速度反演时,相比较于时间空间域的方法,频率空间域直接法声波全波形反演具有计算速度快和节省计算机内存需求的优势.The 2 D time-space domain and frequency-space domain acoustic wave full waveform velocity inversion method（ FWI） are applied to Marmousi model respectively. These two methods both use a same geometry and other parameters in the numerical experiments. It is confirmed that when using more computer nodes for direct FWI in frequency-space domain,its acceleration rate is limited（ the forward modeling calculation is mainly used for the LU decomposition of the impedance matrix,shot point calculating the wavefield is linear relationship）. 2 D time-space domain FWI is more flexible,when more shots are calculated at the same time,it can be many times to improve calculation efficiency. The calculation speed of 2 D frequenc-space domain direct FWI is much faster than that of the 2 D time-space domain FWI,the memory requirements are much smaller than that of the 2 D time-space domain FWI.Compared with the method of time-space domain FWI,frequencyspace domain method of direct FWI has the advantages of high computing speed and saving computer memory requirements.

关 键 词：时间-空间域 频率-空间域 二维声波波动方程 全波形速度反演 

分 类 号：P631[天文地球—地质矿产勘探]