用户名: 密码: 验证码:
VTI介质多波射线追踪及各向异性参数分析
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
地震波正演和介质参数的分析是地震勘探的主要内容。均匀各向同性模型是传统地震勘探的基本假设,然而地球介质是复杂的,是各向异性的,各向异性介质中地震波的传播比在各向同性介质中更为复杂。因此,如何对各向异性介质中地震波的传播进行模拟及对参数进行分析是目前研究的重要课题。速度分析是地震数据处理过程中非常重要的环节之一,要实现高精度速度分析,必须充分考虑介质的各向异性所带来的影响,对地震资料进行各向异性参数分析,以获得地层的各向异性参数特性。
     论文从各向异性介质的基本理论出发,分析了横向各向同性介质中相速度和群速度的传播规律,讨论了地震波在各向异性介质中射线传播的特征,并引入了二维VTI介质中反射系数、透射系数的近似解。针对具有垂向对称轴的横向各向同性介质,采用射线追踪法追踪PP波和PSV波合成地震记录。在追踪二维VTI介质中的多波旅行时的同时,通过反射系数、透射系数的计算,实现了能量的分配,更客观完整地模拟了地震波在各向异性介质中的传播规律。
     介质的各向异性在纵波的传播过程中表现不是很明显,而横波在传播过程中对各向异性影响的反应非常敏感。因此在各向异性介质参数分析时,进行纵波和转换波的多波联合勘探是是非常必要的。目前对于各向异性参数分析的研究已成为非常热门的研究课题,然而,各向异性分析的方法及参数谱的精度还存在有待提高的空间。论文讨论了VTI介质中纵波和转换波各向异性参数分析方法,在对PP波仍使用单参数法速度和参数分析的同时,通过更有效地利用多波联合勘探的信息的方式改进了PSV波参数分析法,减少了人为给定初始各向异性参数值时的盲目性,并将Lamer提出的选择性相关法引入到各向异性参数谱分析中,提高了参数谱分析的效率和精度。
     FORTRAN是底层的数值计算语言,计算速度快,VC++提供了强大的交互式界面系统的开发功能。论文通过VC++和Fortran语言的混合编程,实现优势互补,将VTI介质正演模拟与速度、各向异性参数分析模块,以及各向同性介质中地震波场多波正演模拟和速度分析模块,集成于一个软件中,开发了一套较为完整的多波合成地震记录及参数分析软件。该软件已申请并受理计算机软件著作权登记。
     论文取得的主要创新性成果有:
     (1)在二维VTI介质PP波和PSV波射线追踪中,将各向异性介质中反射、透射系数理论引入正演计算中,通过反射系数,透射系数等参数来实现地震波传播过程中的能量分配,使模拟的地震记录更为客观合理。
     (2)将用于速度谱计算的选择性相关法引入到各向异性介质中各向异性参数谱的计算中,用于提高参数谱的分辨率,进而提高了参数谱分析的精度。
     (3)提出了改进的二维VTI介质转换波单参数分析法。对VTI介质进行转换波各向异性参数分析时,借助PP波的已知信息,对各向异性介质中PSV波参数先进行估算,然后计算参数谱,提高了计算的速度,减少了不必要的计算过程,达到进一步提高转换波各向异性参数分析的精度和效率的目的。
Forward of seismic data and analysis on parameter play an important role in seismic exploration. Usually, we assume all the media on earth is isotropic, but it is actually anisotropic. Propagation of seismic wave in anisotropic media is more complex than that in isotropic media, so it is important that how to simulate the propagation of seismic wave in anisotropic media and do analysis on anisotropic parameters. Velocity analysis is a key problem in seismic data processing. To realize high-accuracy velocity analysis, we must take anisotropic parameters into account.
     Based on anisotropic theory, this paper analyzes the rule of phase velocity and group velocity in transverse isotropic media, discusses the characteristic of ray in anisotropic media. It does ray tracing of PP wave and PSV wave in VTI media. Except for the travel time is calculated, the approximate root of reflection and transmission coefficients is also calculated. And by calculating the coefficients, energy is distributed in the process of seismic wave propagation, which simulates more perfectly the propagation of seismic wave in anisotropic media.
     Anisotropic parameters have an effect on P-wave data, but it is not presented evidently on seismic record. And S-wave data is sensitive to anisotropic parameters. So, when doing parameter analysis on anisotropic media, it is necessary to do multicomponent exploration. The study of anisotropic parameters is now a hot research subject, but the technique of parameter analysis and the accuracy of spectrum of anisotropic parameters need further improvement. This paper still adopts the measurements of single scan on PP wave data, and improves the method of PSV wave data by using efficiently the multi-component, which tries to get rid of our blindness of setting the initial parameters. Selective-correlation method by Ceils in2002in velocity analysis is used in anisotropic parameter analysis in this paper, which improves the accuracy of parameter spectrum.
     Fortran is a kind of numerical computation language with a high calculating speed and VC++is a kind of language providing a strong function of developing a mutual interface. By mix-programming of Fortran and VC++, this paper develops a set of software with the modules of seismic wave simulation, velocity analysis, parameter analysis on isotropic and anisotropic media.
     The innovative achievements in this paper are as follows:
     (1) Energy of seismic wave is distributed by calculating the approximate root of reflection and transmission coefficients in ray tracing of PP wave and PSV wave in VTI media, which makes seismic record to be simulated more reasonable.
     (2) Selective-correlation method in velocity analysis is used in anisotropic parameter analysis to calculate parameter spectrum, which improves the accuracy of parameter spectrum.
     (3) The improved method of PSV wave data are put forward, which uses fully the information of velocity and parameter analysis on PP wave data to estimate the parameter of PSV wave at first, and then calculate parameter spectrum. It increases speed and omits the need for excessive affixture calculation to improve efficiency of anisotropic parameter analysis on PSV wave data.
引文
[1]陈春继,李录明,罗省贤等.各向异性介质转换波速度分析方法[J].成都理工大学学报(自然科学版),2004,31(2):173-179.
    [2]陈景波,秦孟兆.辛几何算法在射线追踪中的应用[J].数值计算与计算机应用,2000,43(4):254-265.
    [3]邓怀群,刘雯林,赵正茂.横向各向同性介质中纵波和转换横波的快速射线追踪方法[J].石油物探,2000,39(4):1-11.
    [4]董良国,李国治,杨泉荣等.横向各向同性介质中弹性波的物理模拟[J].石油物探.1999,38(1):76-84.
    [5]杜丽英,刘国明,杜丽娟等.VTI介质中地震波反射波合成记录的方法研究[J].地球物理学进展,2001,2(16):58-64.
    [6]杜启振,韩世春.各向异性介质P-SV转换波速度分析方法及应用[J].油气地球物理.2007,5(2):8-11.
    [7]杜启振,李辉.各向异性介质非双曲时差速度分析[J].油气地球物理.2005,3(2):20-24.
    [8]杜启振,刘莲莲,孙晶波.各向异性粘弹性孔隙介质地震波场伪谱法正演模拟[J].物理学报.2007,56(10):6143-6149.
    [9]杜启振,孙晶波,刘莲莲.横向各向异性纵波非双曲线时差分析[J].油气地球物理,2007,5(2):5~7.
    [10]付强,罗彩明.基于VTI介质理论的P波速度分析和动校正[J].物探化探计算技术,2008,30(1):10-16.
    [11]郝奇.VTI介质速度和各向异性参数建模研究[D].吉林:吉林大学,2010.
    [12]郝守玲,赵群,周正仁.EDA介质的P波方位各向异性-物理模型研究[J].石油地球物理勘探,1998,33(增刊2):54-62.
    [13]郝重涛.水平界面任意空间取向TI同类反射非双曲时距研究[D].北京:中国地震局地质研究所,2007.
    [14]黄德济,贺振华,包吉山.地震勘探资料数字处理[M].北京:地质出版社,1990:100-106.
    [15]黄中玉.多波地震勘探技术研究及其在储层描述中的应用[D].成都:西南石油学院,2005.
    [16]蒋先勇,王锡文,秦广胜等.深层地震速度分析的不确定性研究[J].石油地球物理勘探,2005,40(1):35-41.
    [17]孔选林,李录明,罗省贤等.各向异性介质中地震波射线正演[J].物探化探计算技术.2008,30(3):178-185。
    [18]李建国,李彦鹏,郭晓玲.VTI介质试射射线追踪[J].石油地球物理勘探,2010,45(1):491-496.
    [19]李磊.TI介质中的相速度和群速度及射线参数[J].石油物探.2008,47(4):334-338.
    [20]李磊.横向各向同性介质Thomsen近似公式的有效范围[J].石油物探,2007,47(2):116-122.
    [21]李录明,罗省贤.多波多分量地震勘探原理及数据处理方法[M].成都:成都科技大学出版社.1997.9.
    [22]李勤,李庆春,冯宏.C#和FORTRAN混合编程在地震速度分析中的应用[J].地球物理学进展,2010,25(4):1503-1507.
    [23]李勤,李庆春.各向异性介质转换波速度逐层单参数速度分析方法[J].物探与化探,2011,35(2):270-273.
    [24]李天成,牛滨华,孙春岩等.VTI介质中PSV波转换点与各向异性参数关系[J].2007,22(5):1522-1526.
    [25]梁锴.TI介质弹性波传播特征及qP波深度偏移方法研究[D].北京:中国石油大学,2006.
    [26]刘洪,孟繁林,李幼铭.计算最小走时和射线路径的界面网全局方法.地球物理学报,1995,38:821-831.
    [27]刘洋,董敏煜.各向异性介质中的方位AVO[J].石油地球物理勘探.1999,34(3):260-268.
    [28]刘洋,刘财,杨宝俊,王典,王建民,王兆湖.松辽盆地北部纵波速度区域特征分析及深层油气问题[J].地球物理学进展,2008,23(3):785~792.
    [29]卢明辉,唐建侯,胡彬等.VTI介质P波非双曲时差分析[J].地球物理学进展,2005,20(2):328-331.
    [30]陆基孟.地震勘探原理[M].北京:石油大学出版社,1996:38-98.
    [31]罗省贤,李录明,陈春继.VTI介质多波速度与各向异性参数系数求取及应用[J].物探化探计算技术,2005,27(3):214-219.
    [32]马德堂,朱光明.关于横向各向同性介质中的Thomsen参数取值的讨论[J].石油地球物理勘探.2006,41(4):431-438
    [33]马昭军,唐建明,蒋能春.四参数速度分析分析在新场转换波处理中的应用[J].物探化探计算技术,2008,30(4):267-272.
    [34]孟庆生,何樵登,王德利.均匀横向各向同性介质中P波及SV波的射线规律[J].吉林大学学报(地球科学版).2002,32(4):378-382.
    [35]渥.伊尔马滋.地震资料分析-地震资料处理、反演和解释[M].北京:石油工业出版社.2006.
    [36]潘宏勋,方伍宝.基于起伏地表的叠加速度分析[J].石油地球物理勘探,2008,43(1):29~33.
    [37]斯兴焱,李录明,罗省贤.VTI介质转换波速度分析方法研究及应用[J].物探化探计算技术,2010,32(2):138-143.
    [38]隋荣亮.多波多分量地震勘探技术[D].北京:中国地质大学.2006.
    [39]孙福利,杨长春,陈雨红等.弱各向异性介质中qP波的一阶射线追踪[J].地球物理学进展,2009,24(1):35-41.
    [40]孙福利,杨长春,麻三怀等.横波速度预测方法[J].地球物理学进展,2008,23(2):470~474.
    [41]孙鑫,余安萍.VC++深入详解[M].北京:电子工业出版社,2006:99-121.
    [42]唐巍,李磊.多层垂直对称轴横向各向同性介质精确走时计算[J].地震学报,2008,30(4):367-276.
    [43]万志超,滕吉文,张秉明.各向异性介质中地震波速度分析的研究现状[J].地球物理学进展,1997,12(3):35-44.
    [44]王光杰,张中杰,滕吉文.TI介质双参数速度分析[J].地球物理学进展.2004,19(1):113-118.
    [45]王辉.基于图形结构的三维射线追踪方法[D].上海:中国科学院上海治金研究所,2000.
    [46]王立明,李庆春.选择相关法提高转换波速度分析精度[J].地球物理学进展,2006,21(4):1213-1220.
    [47]王立明.提高多波速度分析精度的研究[D].西安:长安大学,2005.
    [48]渥.伊乐马滋.地震资料分析-地震资料处理、反演和解释[M].北京:石油工业出版社.2006.
    [49]吴国忱,梁锴.VTI介质频率-空间域准P波正演模拟[J].石油地球物理勘探,2005,40(5):535.545.
    [50]熊金良,刘洋,侯伯刚.任意各向异性介质方位旅行时正演[J].石油地球物理勘探,2005,40(3):300-304.
    [51]熊煜,李录明,罗省贤.各向异性介质弹性波场正演及偏移[J].成都理工大学学报(自然科学版),2006,33(3):310-316.
    [52]徐常练,许云.速度随炮检距变化(VVO)分析[J].石油地球物理勘探,1998,33(6):733-740.
    [53]徐士良.Fortran常用算法程序集(第二版)[M].北京:清华大学出版社,1999:114-189.
    [54]徐亦鸣,黄中玉,刘路佳.各向异性介质纵波速度分析[J].石油物探,2004,43(5):438-441.
    [55]寻浩,董敏煜,牟永光.横向各向同性介质中的AVO[J].石油地球物理勘探,1997,32(1):45.46.
    [56]姚陈,郝重涛,王迅.任意空间取向TI介质三类体波速度和偏振解析解[J]CPS/SEG 2004国际地球物理会议论文集,2004:591-594.
    [57]姚陈.任意空间取向TI介质三维倾斜界面P波NMO速度[J].中国地球物理学会年刊,2004,430-493.
    [58]阴可,杨慧珠.各向异性介质中的AVO[J].石油地球物理勘探,1998,41(3):382-391.
    [59]雍杨.横向各向同性介质多波振幅特征及参数反演方法研究[D].成都:成都理工大学,2003.
    [60]苑书金,董敏煜,魏修成等.横向各向同性介质中的反射波旅行时分析[J].石油工业地球物理勘探.2001,36(4):488-494.
    [61]张建中,陈世军,余大祥.最短路径射线追踪方法及其改进[J].地球物理学进展,2003,18(1):146-150.
    [62]张建中.三维TI介质中P波NMO速度及VSP走时联合反演[D].北京:中国地震局地质研究所,2005.
    [63]张美根,程冰洁,李小凡等.一种最短路径射线追踪的快速算法[J].地球物理学报,200649(5)::1467-1474.
    [64]张美根,王妙月.各向异性弹性波有限元叠前逆时偏移[J].地球物理学报,2001,44(3):711-719.
    [65]张钋,刘洪,李幼铭.射线追踪方法的发展现状[J]_地球物理学进展,2000,15(1):36-45.
    [66]张铁强.地震属性及其对实际数据的应用[D].北京:中国地质大学,2010.
    [67]张文生,何樵登,朱建伟等.横向各向同性介质中群速度的计算[J].物探化探计算技术.1997,19(2):97-102.
    [68]张文生,何樵登.二维横向各向同性介质的伪谱法正演模拟[J].石油地球物理勘探,1998,33(3):310-319.
    [69]张文生,何樵登.横向各向同性介质中的反射波时距曲线[J].石油物探.1997,36(2):15-24.
    [70]张永刚.地震波场数值模拟方法[J].石油物探.2003,42(2):141-146.
    [71]赵爱华,丁志峰.一种弱各向异性介质地震波群速度的近似表示新方法[J].地球物理学进展,2005,20(4):916-919.
    [72]赵爱华,张美根,丁志峰.横各各向同性介质中地震波走时模拟[J].地球物理学报,2006,49(6):1762-1769.
    [73]郑元满,姚长利,张晨等.基于等值线拓扑走向的快速区域填充算法[J].石油地球物理勘探,2010,45(6):899-908.
    [74]周涛,郭占元,郭向荣FORTRAN与C#混合编程在土木工程计算中的应用[J].山东交通学院学报,2009,17(1):80-86.
    [75]Abbad B., Ursin B., and Rappin D. Automatic nonhyperbolic velocity analysis[J]. Geophysics,2009,74(2):U 1-U12.
    [76]Aki K and Richards P G. Quantitative seismology:theory and methods[M]. W.N.Freeman & Co.,1980.
    [77]A1-Dajani A,Tsvankin I. Nonhyperbolic reflection moveout for horizontal transverse isotropy[J]. Geophysics,1998,63:1738-1753.
    [78]Alford R M,Kelly K R,Boore D M. Accuracy of finite difference modeling of the acoustic wave equation[J].Geophysics,1974,39(6):834-842.
    [79]Alkhalifah T, Tsvankin I. Velocity analysis in transverslely isotropic media[J]. Geophysics,1995, 60(5):1550-1566.
    [80]Alkhalifah T, Tsvankin I.,Lamer K and Toldi J. Velocity analysis and imaging in transversely isotropic media:methodology and a case study.[J]. Leading Edge,1996,15(5):371-378.
    [81]Alkhalifah T. Velocity analysis using nonhyperbolic moveout in transversely isotropic media[J]. Geophysics,1997,62(6):1839-1854.
    [82]Allen B. Cunningham, Harland H. Herffring. Interpretation of velocity spectra[J]. Geophysics, 1980,45(12):1741-1752.
    [83]Altermen Z S,Loew enthal D. Seismic wave in a quarter and three quarter plane[J].Geophysics J Roy Astr Soc.1970,32(2):181-190.
    [84]Backus G E. Long-wave elastic anisotropy produced by horizontal layering[J]. Geophys. Res.,1962,67:4427-4440.
    [85]Backus G E. Possible forms of seismic anisotropy of the upper mantle under oceans[J].J.Geophys. Res.,1965,67:4427-4440.
    [86]Bakulin A V, Grachka V and Tsvankin I. Estimation of fracture parameters from reflection seismic data.Part I:HTI model due to a single fracture set[J]. Geophysics,2000,65:1788-1802.
    [87]Banik, N.C. An effective anisotropy parameter in transversely isotropic media[J]. Geophysics, 1987,52,1654-1664.
    [88]Berryman J G. Long-wave elastic anisotropy in Transversely isotropic media[J]. Geophysics. 1979,44:896-917.
    [89]Bruggeman D A G. Berechung verschiedener physikalischer konstanten von heterogenen substantzen[J].Annalen der physic,1935,24:636-664.
    [90]Byun B S,Corrigan D.Seismic traveltime inversion for transverse isotropy[J]. Geophysics,1990,55:192-200.
    [91]Byun B S,Corrigan D and Gaiser J E. Anisotropic velocity analysis for lithology discrimination[J].Geophysics,1989,54:1564-1574.
    [92]Byun B S. Seismic parameters for transversely isotropic media [J]. Geophysics,1984,49:1908-1914.
    [93]Caldwell J. Marine multicomponent seismology[J]. Geohpysics,1999,18(11):1274-1282.
    [94]Cerveny V, Molotokov I A,Psencik I. Ray Method in Seismology[M]. Charles Univ. Press,1977.
    [95]Cerveny V. Seismic rays and ray intensities in inhomogeneous anisotropic media[J]. Geophysics,1972,29(1):1-13.
    [96]Chen Xiangguo and Yao Chen. Calculation and comparison between group-propagation(energy) reflection and Phase-propagation reflection in strong transverse anisotropic media[J], SEG Expanded Abstract,1999(11):1899-1902.
    [97]Christoffel E B. Uber die fortpflanzung von st seen durch elastische feste krper[J]. Annali di matematica,1877,8:193-243.
    [98]Crampin S, McGonigle R and Bamford D. Estimation crack parameters from observations of P-wave velocity anisotropy s[J]. Geophysic,1980,45:345.360.
    [99]Crampin S. Anisotropy and transverse isotropy[J]. Geophys. Prosp.,1986,34:94-99.
    [100]Crampin S. Effective anisotropic elastic constants for wave propagation through cracked solids[J]. Geophysical journal of the royal astronomical Society.1984,76:135-145.
    [101]Crampin S. Review of wave motion in anisotropic and cracked elastic-media[J]:Wave Motion,1981, 3:343-391.
    [102]Crampin S. The dispersion of surface waves in multilayered anisotropic media[J]. Geophys.J.Roy. Astron. Soc,1970,21:387-402.
    [103]Crase E. High-order(space and time) finite-difference modeling of elastic wave equation[J].Expanded abstracts of 60th SEG annual meeting,1990:987-991.
    [104]Cronin T. Automated reasoning with contour maps[J]. Computers & geosciences,1995, 21(5):609-618.
    [105]Daley P F and Hron F. Reflection and transmission coefficients for transversely isotropic media[J]. Bull.,Seis.soc.am.,1977,67:661-675.
    [106]Dehghan K., Farra V., Nicoletis L..Approximate ray tracing for qP-waves in inhomogeneous layered media with weak structural [J]. Geophysics,2007,72(5):SM35-SM46.
    [107]Farra V.,Pgeneik I. Properties of the zero-,first-and higherorder approximations of attributes of elastic waves in weakly anisotropic media[J].J.A.Soc.,2003,114(3):1366-1378.
    [108]Fornel S and Grechka V. Nonhyperbolic reflection moveout of P-waves:An overview and comparison of reasons[C]. Report CWP-372,Colorado School of Mines,2001.
    [109]Fowler P.J. Practical VTI approximations:a systematic anatomy[J]. Journal of Applied Geophysics,2003,54(5):347-367.
    [110]Gajewski D.,Psencik, I. Computation of high-frequency seismic wavefields in 3-D laterrally inhomogeneous anisotropic media[J].Geophys.J.R.astro.,1987,91:383-411.
    [111]Grechka V and Tsvankin I.3-D description of normal moveout in anisotropic inhomogeneous media[J]. Geophysics,1998b,63(4):1079-1092.
    [112]Grechka V and Tsvankin I. Feasibility of nonhyperbolic moveout inversion in transversely isotropic media[J]. Geophysics,1998a,63(3):957-969.
    [113]Grechka V and Tsvankin I. Inversion of azimuthally dependent NMO velocity in transversely isotropic media with a tilted axis of symmetry[J]. Geophysics,2000,65:232-246.
    [114]Grechka V and Tsvankin I. The joint nonhyperbolic moveout inversion of PP and PS data in VTI media[J]. Geophysics,2002b,67(6):1929-1932.
    [115]Grechka V, Pech A, Tsvankin I,et al. Velocity analysis for tilted transversely isotropic media:a physical modeling example[J]. Geophysics,2001,66:904-910.
    [116]Hake H, Helbig K and Mesdag C S. Three-term Taylor series for t2-x2 curves over layered transversely isotropic ground[J]. Geophys. prasp.,1984,32:828-850.
    [117]Hanyga A. Fermat's principle for anisotropic elasticity[J]. Advance.society of exploration geophysicists.2001,271-288.
    [118]He C and Castagna J P. Anisotropic effects on fulee and partial stacks. Geophysics,2000,65(4): 1028-1031.
    [119]Helbig K. Systematic classification of layer-induced transverse isotropy[J]. Geophysical prospecting, 1981,29:550-577.
    [120]Hess H H. Seismic anisotropy of the uppermost mantal under oceans. Nature,1964,204:629-631.
    [121]Hsiung S M,Ghosh A and Chowdhury A H. An investigation of rock joint models on prediction of joint behavior under pseudostatic cycilic shear loads[R].Texas:First north American rock mechanics Symposium,1994.
    [122]Hudson J A. A higher order approximation to the wave propagation constants for a cracked solid[J]. Geophysical journal of the royal astronomical Society.1981,64:133-150.
    [123]Isaac,J.H., Lawton. D.C.. Image mispositioning due to dipping TI media:A physical seismic modeling study [J]. Geophysics,1999,64(4):1230-1238.
    [124]James G.Berryman. Exact seismic velocities for transversely isotropic media and extended Thomsen formulas for stronger anisotropies[J].Geophysics,2008,73(1):D1-D10.
    [125]Keith C M,Crampin S. Seismic body waves in anisotropic meida:synthetic seismograms[J].Geophys.J.Roy.Astron.Soc.,1977,49:225-243.
    [126]Krey T H and Helbig K. A theorem concerning anisotropy of stratified media and its significance for reflection seismics[J]. Geophys. Prasp.,1956,4:294-302.
    [127]Kumazawa M. The elastic constants of single-crystal orthopyroxene[J]. J.geopnhys.res.1969,74:5973-5980.
    [128]Larner K, Celis V. Selective-correlation veloctity analysis[J]. Geophysics,2007,72(2):U11-U19.
    [129]Lamer K. Dip-moveout error in transversely isotropic media with linear velocity variation in depth[J].Geophysics,1993,58:1442-1453.
    [130]Levander A R. Fourth-order finite-difference P-SV seimograms[J]. Geophysics,1988,53(11): 1425-1436.
    [131]Li Xiangyang and Yuan Jianxin. Converted-wave seisomology in anisotropic media revisited, part I: basic theory[J]. Applied geophysics,2005,2(1):26-40.
    [132]Li Xiangyang and Yuan Jianxin.Converted-wave seisomology in anisotropic media revisited, part II: application to parameter estimation[J]. Applied geophysics,2005,2(3):153-164.
    [133]Li xiangyang,Yuan Jianxin. Converted-wave moveout and conversion-point equations in layered VTI media:theory and application[J]. Journal of applied geophysics,2003,54:297-310.
    [134]Love A E H. Treatise on the mathematical theory of elasticity[M]. New York,Dover,4th edition,1917.
    [135]Nur A,Simmons G. Stress-induced velocity anisotropy in rock:an experimental study[J].Geophys. Res.,1969,74(27):667-6674.
    [136]Park J, Levin V. Seismic anisotropy:tracing plate dynamics in the mantle[J]. Science,2002.
    [137]Pech A, Tsvankin I and Grechka V. Quantic moveout coefficient:3D description and application to tilted TI media[J]. Geophysics,2003,68(5):1600-1610.
    [138]Psencik I and Gajewski D. Polarization, phase velocity and NMO velocity of qP waves in arbitrary weakly anisotropic media. Geophysics,1998,63:1754-1766.
    [139]Rai C S and Hanson K E. Shear-wave velocity anisotropy in sedimentary rocks:a laboratory study[J].Geophysics.1988,53:800-806.
    [140]Raphef M and Roth M. VTI anisotropic corrections and effective parameter estimation after isotropic prestack depth migration[J].Geophysics,2006,71(3):D35-D43.
    [141]Roberts G and Crampin S. Shear-wave polarizations in a Hot-Dry-Rock geothermal reservior:anisotropic effects fractures[J]. Int. J. Rock Mech. Min. Sci..1986,23,291-302.
    [142]Rudzki M P. Parametric representation of the elastic wave in anisotropic media[OL].Presented to the academy of sciences of sciences at cracow, october 9,1911. traslation by K Helbig commentary by K Helbig and M. slwinski. http://www.10iwsa.dkiz.de/abstracts/rudzkihelbig.pdf.
    [143]Ruger A and Tsvakin I. Using AVO for fracture detection:analytic basis and practical solutions[J]. Geophysics,1998,63:935.947.
    [144]Ruger A. P-wave reflection coefficients for transversely isotropic models with vertical and horizontal axis of symmetry [J]. Geophysics,1997,62:713-722.
    [145]Sawamoto H,Weidner D J,Sasaki S and Kumazawa M. Single-crystal elastic properties of the modified spinel(Beta) phase of magnesium orthosilicate[J].Science,1984,224:749-751.
    [146]Sena A G. Seismic traveltime equations for azimuthally anisotropic and isotropic media:estimation of interval elastic properties[J]. Geophysics,1991,51(12):2090-2101.
    [147]Shearer P M and Chamman C H. Ray tracing in anisotropic media with a linear gradient[J]. Geophys. J. Int.,1988,94(33):575.580.
    [148]Shearer P M and Chapman C H. Ray tracing in azimuthally anisotropic media-I,results for models of aligned cracks in the upper crust[J]. Geophys.J.,1989,96:51-64.j
    [149]Shi Jianxin. Four-parameter velocity analysis and its applications to the Ken-71 area converted-wave data[J]. Applied Geophysics,2008,5(1):50-56.
    [150]Soga N H,Mizutani H,Spetzler R J,et al.The effect of dilatancy on velocity anisotropy in westerly grannite[J].J.Geophys. Res.,1978,83:4451-4458.
    [151]Stewart R R,Gaiserz J E, Brown R J and Lawton D C. Converted-wave seismic exploration: applications[J]. Geophysics,2003,68:40-57.
    [152]Stovas A.,Ursinb. Reflection and transmission response of layered transversely isotropic visco-elastic media[J]. Geophys. Prospect.,2003,51:447-477.
    [153]Takahashi K and Hones E W. Isee 1 and 2 observatons of ion distributions at the plasma sheet-tail lobe boundary[J]. J. Geophys. Res.,1984,89:137.
    [154]Taner M T,Koehler F. Velocity spectra-digital computer derivation and applications of velocity function[J]. Geophysics,1969,34(6):859-881.
    [155]Tanimoto T. The three-dimensional shear wave structure in the mantle by overtone waveform inversion-Ⅰ:Radial seismogram inversion[J]. Geophys,1986,51:1954-1966.
    [156]Thomesen L. Converted-wave reflection seismology over inhomegeneous,anisotropic media[J]. Geophysics,1999,64(3):678-690.
    [157]Thomsen L. Weak elastic anisotropy [J]. Geophysics,1986,51(10):1954-1966.
    [158]Thomson W. Elements of a mathematical theory of elasticity,partⅠ,on stresses and stranins[J].Philosophical Transactions of the royal society,1856,XXI.(146):481-498.
    [159]Tsvankin I. P-wave signature and notation for transversely isotropic media:an overview[J]. Geophysics,1996,61 (2):467-483.
    [160]Tsvankin I. Reflection moveout and parameter estimation for horizontal transverse isotropy[J]. Geophysics,1997,62:614-629.
    [161]Tsvankin I. Seismic signatures and analysis of reflection data in anisotropic media[J].Geophysical prospecting,1997,45(3):497-512.
    [162]Tsvankin I., Thomsen L. Nonhyperbolic reflection moveout in anisotropic media[J]. Geophysics, 1994,59(4):1290-1304.
    [163]Vernic L, Liu X Z. Velocity anisotropy in shales:a petrophysical study[J]. Geophysics, 1997,62:521-532.
    [164]Vernik L., Nur A..Ultrasonic velocity and anisotropy of hydrocarbon source rocks[J]. Geophysics,1992,5:727-735.
    [165]Vidale, J.,Helmberger DV. Elastic finite-difference modeling of the 1971 San Fernando, Ca. earthquake[J].Bull. Seism. Soc. Am.,1988,78,122-142.
    [166]Virieux J. P-SV wave propagation in heterogeneous media:velocity-stress finite-difference method(shear waves)[J]. Geophysics,1986,51(4):889-901.
    [167]Wang Z.Seismic anisotropy in sedimentary rocks,part 2:Laboratory data[J]. Geophysics,2002,67: 1423-1440.
    [168]Yao C and Chen X G. Numerical modeling energy reflection in stratified anisotropic media[J]. SEG expanded abstract,1999,11:1896-1898.
    [169]Yao C. NMO velocity for 3D dipping reflector and arbitrry spatial orientation TI[J].76th ann. internat mtg.,soc. expl. geophys,expanded abstracts,2005,174-176.
    [170]Yao C., Li L. The second order apporximation for phase velocity of three body waves in VTI[J]. The 12th international workshop on seismic anisotropy,2006,174-176.
    [171]Yeganh-haeri A,Weidner D J and Parise J B. Elasticity of a cristobalite:A silicon dioxide with a negative Poisson's ration[J].Science,1992,257:650-652.
    [172]Zheng X Y, Psenicki I. Local Determination of weak anisotropy parameters from qP-wave slowness and particle motions measurements[J]. Pure and applied geophysics,2002,159:1881-1905.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700