二维频率空间域粘声波正演模拟研究  

Two dimensional Visco-acoustic Wave Modeling Research in Frequency-space Domain

作　　者：廖建平[1,2] 刘和秀[2] 王华忠[3] 杨天春[1] 王齐仁[1] 刘新华[1] 马在田[3] 

机构地区：[1]湖南科技大学土木工程学院地质系,湘潭411201 [2]湖南科技大学煤炭资源清洁利用与矿山环境保护重点实验室,湘潭411201 [3]同济大学海洋地质国家重点实验室,上海200092

出　　处：《地球物理学进展》2011年第6期2075-2081,共7页Progress in Geophysics

基　　金：成都理工大学国家重点实验室基金(PLC201003);湖南省教育厅一般项目(11C0516);湖南科技大学博士基金(E51094)联合资助;国家"高等学校特色专业建设点"基金(TS11027)

摘　　要：地球介质本身的非弹性导致大地吸收效应,黏滞性影响波场的所有频率成分且对高频成分的影响更大,从而降低了地震记录和地震成像的垂向分辨率.通常使用经验公式描述吸收衰减.在时间域模拟吸收衰减需大量的计算机内存、计算效率较低,模拟Q值非常困难;而频率空间域可以通过引入复速度和Q值,使用任意的经验公式而进行粘滞介质的数值模拟.本文采用非常节省计算机内存需求的嵌套剖分网格排序法,扩展频率空间域声波多炮模拟快速计算流程到粘声波介质而方便高效地描述吸收衰减效应.数值试验证明频率空间域很容易模拟吸收与衰减效应,为后续的保振幅处理提供了很好的基础.The earth is anelastic which leads to earth absorption phenomena, viscosity affects all frequencies component of the wavefield, the higher frequency component, the larger it affects, decrease the seismic recording and imaging ＇s vertical resolution. Usually we use empirical formulation to describe absorption and attenuation. Modeling absorption and attenuation need huge computer＇s storage in time-space domain, low computational efficiency, it is very difficult in modeling absorption and attenuation. While we can use any empirical formulation in frequency-space domain to model absorption and attenuation numerical simulation, through introducing complex velocity and attenuation factor, adopt the very saving computer,s storage＇s nested dissection,extend the multishot modeling fast computational procedure to viscosity, easily describe absorption and attenuation with a high efficiency. Numerical simulations on Marmousi demonstrate that it is very easy to model absorption and attenuation effect in frequencyspace domain, providing good tools for the subsequent amplitude preservation treatment.

关 键 词：频率空间域 嵌套剖分 粘声波方程 吸收衰减 快速模拟 

分 类 号：P631[天文地球—地质矿产勘探]