基于随机各向同性背景的单斜介质二维三分量正演模拟
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摘要
针对满足Von Karman型椭圆自相关函数条件的随机各向同性背景下的单斜介质理论模型,应用交错网格技术对快照和地震记录进行模拟,所得结果清晰明了,发现在这种复合介质中波场特性既体现了规律性较强的单斜各向异性性质,又体现了介质的随机性特点。具体表现为:裂隙填充物的性质决定了qP波与qS波的各向异性特征,即干裂隙对qP波的影响显著大于qS波,而含水裂隙的情况则相反;相同方差条件下,尺度越小,随机介质干扰强度越大。
The snap-shots and synthetic seismograms in monoclinic media with the background of the random isotropic media of Von Kraman pattern autocorrelation function are simulated by staggered grid finite difference.Numerical results show that wave field in the complex media reveals the characteristics of both monoclinic media and random media.And the properties of crack-filled materials determine the anisotropy of qP wave and qS wave;dry crack impacts qP wave more remarkably than qS wave,while opposite case for water-saturated crack;in the case of same variance,when the scale length became smaller,the disturbance caused by random media became stronger.
The snap-shots and synthetic seismograms in monoclinic media with the background of the random isotropic media of Von Kraman pattern autocorrelation function are simulated by staggered grid finite difference.Numerical results show that wave field in the complex media reveals the characteristics of both monoclinic media and random media.And the properties of crack-filled materials determine the anisotropy of qP wave and qS wave;dry crack impacts qP wave more remarkably than qS wave,while opposite case for water-saturated crack;in the case of same variance,when the scale length became smaller,the disturbance caused by random media became stronger.
引文
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[12]Cerjan C,Kosloff D,Kosloff R,et al.A non-reflec-ting boundary condition for discrete acoustic and elas-tic wave equations[J].Geophysics,1985,50:705-708.
[2]王德利,何樵登.裂隙型单斜介质中弹性系数的计算及波的传播特性研究[J].吉林大学学报(地球科学版),2002,32(2):181-186.WANG De-li,HE Qiao-deng.Elastic constants calcu-lation method and propagation properties for crackedmonoclinic media[J].Journal of Jilin University(EarthScience Edition),2002,32(2):181-186.
[3]王德利,何樵登,韩立国.裂隙型单斜介质中多方位地面三分量记录模拟[J].地球物理学报,2005,48(2):386-393.WANG De-li,HE Qiao-deng,HAN Li-guo.Multi-azimuth three-component surface seismic modeling forcracked monoclinic media[J].Chinese Journal of Geo-physic,2005,48(2):386-393.
[4]Ikelle L,Yung S K,Daube F.2-D random media withellipsoidal autocorrelation function[J].Geophysics,1993,58(9):1359-1372.
[5]Ergintav S,Canitez N.Modeling of multi-scale mediain discrete form[J].Journal of Seismic Exploration,1997,6(1):77-96.
[6]Mueller T M,Shapiro S A.Green’s function con-struction for 2D and 3D elastic random media[C]//Expanded Abstracts of 69th Internat.Houston:MtgSEG,1999:1840-1844.
[7]Thomas B.Parallel 3-D viscoelastic finite differenceseismic modeling[J].Computers&Geosciences,2002,28:887-899.
[8]奚先,姚姚.二维随机介质及波动方程正演模拟[J].石油地球物理勘探,2001,36(5):546-552.XI Xian,YAO Yao.2-D random media and wave e-quation forward modeling[J].Oil Geophysical Pros-pecting,2001,36(5):546-552.
[9]奚先,姚姚.二维弹性随机介质中的波场特征[J].石油地球物理勘探,2004,39(6):679-685.XI Xian,YAO Yao.Wavefield characters of 2-D elas-tic random medium[J].Oil Geophysical Prospecting,2004,39(6):679-685.
[10]奚先,姚姚.二维弹性随机介质中的波场特征[J].地球物理学进展,2005,20(1):147-154.XI Xian,YAO Yao.The wave field characters of 2-Delastic random medium[J].Progress in Geophysics,2005,20(1):147-154.
[11]姚姚,奚先.随机介质模型正演模拟及其地震波场分析[J].石油物探,2002,41(1):31-36.YAO Yao,XI Xian.Modeling in random medium andits seismic wavefield analysis[J].Geophysical Pros-pecting for Petroleum,2002,41(1):31-36.
[12]Cerjan C,Kosloff D,Kosloff R,et al.A non-reflec-ting boundary condition for discrete acoustic and elas-tic wave equations[J].Geophysics,1985,50:705-708.
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