全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

各向异性介质qP波传播描述I:伪纯模式波动方程

DOI: 10.6038/cjg20131022, PP. 3474-3486

Keywords: 各向异性,波动方程,相似变换,伪纯波,逆时偏移

Full-Text   Cite this paper   Add to My Lib

Abstract:

地球介质相对于地震波波长尺度的定向非均匀性会导致波速的各向异性,进而影响地震波场的运动学与动力学特征.各向异性弹性波动方程是描述该类介质波场传播的基本工具,在正演模拟、偏移成像与参数反演中起着关键作用.为了面向实际应用构建灵活、简便的各向异性波场传播算子,人们一直在寻求简化的各向异性波动方程.本文借鉴各向异性弹性波波型分离思想,通过对平面波形式的弹性波方程(即Christoffel方程)实施一种代表向波矢量方向投影的相似变换,推导出了一种适应任意各向异性介质、运动学上与原始弹性波方程完全等价,在动力学上突出qP波的新方程,即qP波伪纯模式波动方程.文中以横向各向同性(TI)介质为例,给出了相应的qP波伪纯模式波动方程及其声学与各向同性近似,并在此基础上开展了正演模拟和逆时偏移试验,展示了这种描述各向异性波场传播的新方程的特点与优势.

References

[1]  Zhang Q S,McMechan G A.2D and 3D elastic wavefield vector decomposition in the wavenumber domain for VTI media.Geophysics,2010,75(3):D13-D26.
[2]  Zhang J F, Verschuur D J, Wapenaar C P A. Depth migration of shot recordsin heterogeneous, transversely isotropic media using optimum explicit operators.Geophysical Prospecting,2001,49(3):287-299.
[3]  Han Q Y,Wu R S.Aone-waydual-domain propagator for scalar qP-waves in VTI media.Geophysics,2005,70(2): D9-D17.
[4]  Shan G J.Optimized implicit finite-difference migration for VTI media. ∥ 76th Ann.Internat. Mtg.,Soc.Expl. Geophys.,Expanded Abstracts,2006:2367-2370.
[5]  朱兆林.倾斜横向各向同性介质中P-S波处理方法研究[博 士论文].上海:同济大学,2008. Zhu Z L.2008,The Processing Method of P-S Wave in Tilted Transversely Isotropic Media[Ph.D.Thesis] (in Chinese).Shanghai :Tongji University,2008.
[6]  Fowler P J,Du X,Fletcher R P.Coupled equations for reverse time migration in transversely isotropic media. Geophysics,2010,75(1):S11-S22.
[7]  康玮,程玖兵.横向各向同性介质拟声波方程及其在逆时偏 移中的应用.地球物理学报,2012,55(3):1033-1045. Kang W,ChengJ B.Pseudo-acoustic wave equations for reverse-timemigrationinTImedia.Chinese J. Geophys.(in Chinese),2012,55(3):1033-1045.
[8]  段鹏飞,程玖兵,陈三平等.TI介质局部角度域射线追踪与 叠前深度偏移成像.地球物理学报,2013,56(1):269-279. Duan P F,Cheng J B,Chen S P,etal.Local angle-domain ray-tracing and prestack depth migration in TI medium. Chinese J. Geophys.(inChinese),2013,56(1):269-279.
[9]  KlieH,W Toro.A new acoustic wave equation for modeling in anisotropic media.∥ 71stAnnualInternationalMeeting. SEG,ExpandedAbstracts,2001:1171-1174.
[10]  Song X L, Fomel S. Fourier finite-difference wave propagation.Geophysics,2011,76(5):T123-T129.
[11]  Kang W,Cheng J B.New coupled equation sofP-andSV- wave for RTM in TImedia.∥ 73rdEAGEAnnualMeeting, 2011,P267.
[12]  Kang W,Cheng J B.Prestack scalar reverse time migration of elastic seismic datain TI media.∥ Expanded Abstracts of 81st Ann.Internat. Mtg.,Soc.Expl.Geophys.,2011: 3367-3371.
[13]  Dellinger J,EtgenJ. Wave-field separation in two-dimensional anisotropic media.Geophysics,1990,55(7):914-919.
[14]  Du X,Fletcher R P,Fowler PJ.A new pseudo-acoustic wave equation for VTI media. ∥ 70th Conference and Exhibition.EAGE,ExtendedAbstracts,H033.2008.
[15]  ThomsenL.Weak elastic anisotropy.Geophysics,1986,51 (10):1954-1966.
[16]  TsvankinI D,Chesnokov E M.Synthesis of body-wave seismograms from point sources in anisotropic media. Journal of Geophysics Research,1990,95(B7):11317- 11331.
[17]  Psencik I,Gajewski D.Polarization,phase velocity,and NMO velocity of qP-waves in arbitrary weakly anisotropic media.Geophysics,1998,63(5):1754-1766.
[18]  刘礼农,高红伟,刘洪等.三维VTI介质中波动方程深度偏 移的最优分裂Fourier方法.地球物理学报,2005,48(2): 406-414. LiuL N,Gao H W,Liu H,etal.Wave equation depth migration with optimum split-step Fourier method in 3D VIT media.Chinese J. Geophys.(in Chinese),2005,48(2): 406-414.
[19]  吴国忱,梁锴.VTI介质qP波方程高精度有限差分算子.地 球物理学进展,2007,22(3):896-904. Wu G C,Liang K.High precision finite-difference operators for qP wave equation in VTI media.Progress in Geophysics (inChinese),2007,22(3):896-904.
[20]  Zhou H,Zhang G,Bloor R.An anisotropic acoustic wave equation for VTI media. ∥ 68th EAGE Conference & Exhibition.Extended Abstracts,H033.2006.
[21]  Fletcher R P,Du X,Fowler P J.A new pseudo-acoustic wave equation forTI media.∥ 78th AnnualInternational Meeting.SEG,Expanded Abstracts,2008:2082-2086.
[22]  Zhou H,Zhang G Q,Bloor R.An anisotropic acoustic wave equation for modeling and migration in 2D TTI media.∥ 76th Annual International Meeting.SEG,Expanded Abstracts, 2006:194-198.
[23]  黄翼坚,朱光明,刘池洋.一个近似的VTI介质声波方程. 地球物理学报,2011,54(8):2117-2123. Huang Y J,Zhu G M,Liu C Y.An approximate acoustic wave equation for VTI media.Chinese J. Geophys.(inChinese), 2011,54(8):2117-2123.
[24]  Grechka V,Zhang L B,RectorJ W.Shear waves in acoustic anisotropic media.Geophysics,2004,69(2):576-582.
[25]  Duveneck E,Bakker P M.Stable P-wave modeling for reverse-time migration in tilted TI media.Geophysics,2011, 76(2):S65-S75.
[26]  Zhang Y,Zhang H Z,Zhang G Q.A stable TTI reverse time migration and it simple mentation.Geophysics,2011,76(3): WA3-WA11.
[27]  李博,李敏,刘红伟等.TTI介质有限差分逆时偏移的稳定 性探讨.地球物理学报,2012,55(4):1366-1375. LiB,Li M,Liu H W,etal.Stability of reverse time migration in TTI media.Chinese J. Geophys.(inChinese), 2012,55(4):1366-1375.
[28]  Liu Y,Sen M K.Acoustic VTI modeling with a time-space domain dispersion-relation-based finite-difference scheme. Geophysics,2010,75(3):A11-A17.
[29]  TsvankinI.Seismic Signatures and Analysisof Reflection Datain Anisotropic Media.Pergamon:Elsevier,2001.
[30]  Fletcher R P,Du X,Fowler P J.Reverse time migration in tilted transversely isotropic(TTI)media.Geophysics,2009, 74(60):WCA179-WCA187.
[31]  Tatham R H,M D McCormack.Multicomponent seismology in petroleum exploration.Investigations in Geophysics, vol. 6, SEG.1991.
[32]  何樵登,张中杰.横向各向同性介质中地震波及其数值模 拟.长春:吉林大学出版社,1996. HeQ D,ZhangZJ.Seismic Waves and Their Modeling in Transversely Isotropic Media (in Chinese). Changchun: Press of Jilin University,1996.
[33]  杜启振,秦童.横向各向同性介质弹性波多分量叠前逆时偏 移.地球物理学报,2009,52(3):801-807. Du Q Z, Qin T. Multicomponent prestack reverse-time migration of elastic waves intransverseisotropic medium. Chinese J. Geophys.(inChinese),2009,52(3):801-807.
[34]  张美根,王妙月,李小凡等.各向异性弹性波场的有限元数 值模拟.地球物理学进展,2002,17(3):384-389,413. Zhang M G, Wang M Y,LiX F,etal.Finite element forward modeling of anisotropic elastic waves.Progress in Geophysics(in Chinese),2002,17(3):384-389,413.
[35]  Yan J,Sava P.Improving the efficiency of elastic wave-mode separation for heterogeneous tilted transverse isotropic media.Geophysics,2011,76(4):T65-T78.
[36]  Yan J,Sava P.Elastic wave-mode separation for VTI media. Geophysics,2009,74(5):WB19-WB32.
[37]  Alkhalifah T. An acoustic wave equation for anisotropic media.Geophysics,2000,65(4):1239-1250.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133