黏弹性HTI介质中地震波的传播特征
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摘要
为了提高地质勘探的精度,本文主要通过理论推导和数值模型计算研究了黏弹性HTI(horizontal transverse isotropy)介质中地震波的传播特征,其参数包括相速度、慢度、偏振向量等,并基于依据传播方向定义的慢度向量和分量定义的慢度向量,通过求解Christoffel方程推导出黏弹性HTI介质中均匀波的相速度、偏振向量、慢度、群速度的精确计算公式,经过对比分析得出:特殊分量法在给定传播方向N的情况下提供了一种更为简单的求取无约束黏弹性各向异性介质中均匀、非均匀波波动参数的方法。采用特殊分量法,推导了黏弹性HTI介质中非均匀波的二维、三维波动参数表达式,并采用数值模型计算,研究了黏弹性HTI介质中非均匀SH波的相速度随非均匀系数D及弹性参数虚部k值的变化规律,结果表明D影响了地震波的相速度大小,但对其方位特性无影响,可见在黏弹性HTI介质中相速度随方位角变化的规律可指明介质的对称轴方向,k值的大小也对相速度的各向异性产生影响,但沿对称轴方向速度大小不变。
In order to improve the accuracy of geological exploration,theoretical derivation and numerical model calculations are used to study the propagation characteristics of seismic waves in viscoelastic horizontal transverse isotropy media. the parameters include phase velocity,slowness,and polarization vector. And based on the slowness vector defined by the propagation direction and which defined by the slowness component,the accurate calculation formula of the phase velocity,polarization vector,slowness and group velocity of uniform wave in viscoelastic HTI media are derived by solving the Christoffel equation,comparative analysis shows that the special component method provides a simpler method for getting seismic wave parameters of homogeneous and inhomogeneous waves in unconstrained viscoelastic anisotropic media. The expressions of the two-dimensional and three-dimensional wave parameters of inhomogeneous waves in viscoelastic HTI media are derived using the special component method. The law of phase velocity for the Inhomogeneous SH wave in viscoelastic HTI media change with inhomogeneous coefficients D and coefficient k is studied. The results show that D affects the value of phase velocity,but has no influence on the azimuth characteristics of the seismic wave. It is concluded that the law of the phase velocity changes with azimuth in the viscoelastic HTI media can indicate the direction of the symmetry axis of the medium and The value of k also affects the anisotropy of phase velocity,but the magnitude of velocity along the axis of symmetry does not change.
In order to improve the accuracy of geological exploration,theoretical derivation and numerical model calculations are used to study the propagation characteristics of seismic waves in viscoelastic horizontal transverse isotropy media. the parameters include phase velocity,slowness,and polarization vector. And based on the slowness vector defined by the propagation direction and which defined by the slowness component,the accurate calculation formula of the phase velocity,polarization vector,slowness and group velocity of uniform wave in viscoelastic HTI media are derived by solving the Christoffel equation,comparative analysis shows that the special component method provides a simpler method for getting seismic wave parameters of homogeneous and inhomogeneous waves in unconstrained viscoelastic anisotropic media. The expressions of the two-dimensional and three-dimensional wave parameters of inhomogeneous waves in viscoelastic HTI media are derived using the special component method. The law of phase velocity for the Inhomogeneous SH wave in viscoelastic HTI media change with inhomogeneous coefficients D and coefficient k is studied. The results show that D affects the value of phase velocity,but has no influence on the azimuth characteristics of the seismic wave. It is concluded that the law of the phase velocity changes with azimuth in the viscoelastic HTI media can indicate the direction of the symmetry axis of the medium and The value of k also affects the anisotropy of phase velocity,but the magnitude of velocity along the axis of symmetry does not change.
引文
1 Cerveny V.Inhomogeneous harmonic plane waves in viscoelastic anisotropic media.Studia Geophysica et Geodaetica,2004;48:167-186
2 Cerveny V Psencik I.Particle motion of plane waves in viscoelastic anisotropic media.Russian Geology and Geophysics,2006;47:551-562
3王德利,何樵登,韩立国.裂隙各向异性介质中的NMO速度.地球物理学进展,2007;22(6):1698-1705Wang Deli,He Qiaodeng,Han Liguo.NMO velocity in fractured anisotropic media.Progress in Geophysics,2007;22(6):1698-1705
4吴萍,杨长春,王真理,等.HTI介质中的反射纵波方位属性.地球物理学进展,2009;24(3):944-950Wu Ping,Yang Changchun,Wang Zhenli,et al.Reflection P-wave azimuthal attribute in HTI medium.Progress in Geophysics,2009;24(3):944-950
5崔杰,韩立国,刘前坤,等.HTI介质中各向异性参数对流体指示因子的影响.中国地球物理学会第二十五届年会论文集.北京:中国地球物理学会,2009:170Cui Jie,Han Liguo,Liu Qiankun,et al.The anisotropic parameters'effect on fluid indicator factor in HTI media.The Proceedings of the25th Annual Conference of Chinese Geophysical Society.Beijing:Chinese Geophysical Society,2009:170
6王恩利,陈启艳,窦喜英.裂缝型HTI介质的纵波弹性阻抗.地球物理学进展,2012:27(1):263-270Wang Enli,Chen Qiyan,Dou Xiying.P-wave elastic impedance in fractured HTI media.Progress in Geophysics,2012;27(1):263-270
7钱忠平,李向阳,Chapman M.HTI介质中地震各向异性模拟与流体预测.中国地球物理学会第二十八届年会论文集.北京:中国地球物理学会,2012:2Qian Zhongping Li Xiangyang,Chapman M.Seismic anisotropy simulation and fluid prediction in HTI media.The Proceedings of the 28th Annual Conference of Chinese Geophysical Society.Beijing:Chinese Geophysical Society,2012:2
8王海.HTI介质多波方位各向异性分析及裂缝检测方法.成都:成都理工大学,2012Wang Hai.The analysis of azimuthal anisotropy of multi waves in HTImedia and fracture detection methods.Chengdu:Chengdu University of Technology,2012
9 Moradi S,Kristopher A.I.Seismic wave scattering in viscoelastic media:Born approximation.Calgary:CSEG,2015:1037
10洪启宇.地震波在黏弹性各向异性地壳介质中的传播及其应用研究.北京:中国地震局地球物理研究所,2016Hong Qiyu.Seismic wave propagation in anisotropic viscoelastic crust media and its application.Beijing:Institue of Geophysics,China Earthquake Administration,2016
11白旭明.黏弹性各向异性裂缝性介质地震波场传播特征研究.中国石油学会2017年物探技术研讨会论文集.北京:中国石油学会物探专业委员会,2017:4Bai Xuming.Seismic wave propagation characteristics of viscoelastic anisotropic fractured media.China Petroleum Institute 2017 Geophysical Technology Symposium Proceedings.Beijing:Society of Petroleum Geophysicists,2017:4
12张广智.HTI介质各向异性参数求取与裂缝预测方法研究.中国石油学会2017年物探技术研讨会论文集.北京:中国石油学会物探专业委员会,2017:8Zhang Guangzhi.Research on obtaining anisotropic parameters of HTI medium and crack prediction.China Petroleum Institute 2017Geophysical Technology Symposium Proceedings.Beijing:Society of Petroleum Geophysicists,2017:8
13陈楠,徐雷鸣,宋志翔.HTI介质方位AVO(AVAZ)正演模拟软件研制与应用.地球物理学进展,2017;32(3):1331-1338Chen Nan,Xu Leiming,Song Zhixiang.Development and application of HTI media azimuth AVO(AVAZ)forward modeling software.Progress in Geophysics,2017;32(3):1331-1338
14梁锴.TI介质地震波传播特征与正演方法研究.北京:中国石油大学,2009Liang Kai.The study on propagation feature and forward modeling of seismic wave in TI media.Beijing:China University of Petroleum,2009
15何现启.EDA介质中地震波传播特征及参数反演研究.长沙:中南大学,2010He Xianqi.The study of characteristics of seismic wave propagation in EDA and parameter inversion.Changsha:Central South University,2010
16 Sharma M D.Propagation of inhomogeneous plane waves in anisotropic viscoelastic media.Acta Mechanica.2008;200(3):145-154
17 Sharma M D.Propagation of inhomogeneous plane waves in dissipative anisotropic poroelastic solids.Geophysical Journal International.2005;163(3):981-990
18 Cerveny V,Psenck I.Plane waves in viscoelastic anisotropic mediaII.numerical examples.Geophysical Journal International.2005;161(3):213-229
19 Cerveny V,Psenck I.Slowness vectors of harmonic plane waves in viscoelastic anisotropic media.Prague:Charles University,2003
20 Cerveny V.Homogeneous plane waves in viscoelastic anisotropic media.Prague:Charles University,2003
21 Cerveny V.Homogeneous plane waves in viscoelastic anisotropic media.Acta Echanica.2008;200(3):145-154
22 Vavrycuk V.Velocity,attenuation,and quality factor in anisotropic viscoelastic media:A perturbation approach.Geophysics,2008;73(5):D63-D73
23 Vavryˇcuk V.Parabolic lines and caustics in homogeneous weakly anisotropic solids.Geophysical Journal International,2003;152(2):318-334
2 Cerveny V Psencik I.Particle motion of plane waves in viscoelastic anisotropic media.Russian Geology and Geophysics,2006;47:551-562
3王德利,何樵登,韩立国.裂隙各向异性介质中的NMO速度.地球物理学进展,2007;22(6):1698-1705Wang Deli,He Qiaodeng,Han Liguo.NMO velocity in fractured anisotropic media.Progress in Geophysics,2007;22(6):1698-1705
4吴萍,杨长春,王真理,等.HTI介质中的反射纵波方位属性.地球物理学进展,2009;24(3):944-950Wu Ping,Yang Changchun,Wang Zhenli,et al.Reflection P-wave azimuthal attribute in HTI medium.Progress in Geophysics,2009;24(3):944-950
5崔杰,韩立国,刘前坤,等.HTI介质中各向异性参数对流体指示因子的影响.中国地球物理学会第二十五届年会论文集.北京:中国地球物理学会,2009:170Cui Jie,Han Liguo,Liu Qiankun,et al.The anisotropic parameters'effect on fluid indicator factor in HTI media.The Proceedings of the25th Annual Conference of Chinese Geophysical Society.Beijing:Chinese Geophysical Society,2009:170
6王恩利,陈启艳,窦喜英.裂缝型HTI介质的纵波弹性阻抗.地球物理学进展,2012:27(1):263-270Wang Enli,Chen Qiyan,Dou Xiying.P-wave elastic impedance in fractured HTI media.Progress in Geophysics,2012;27(1):263-270
7钱忠平,李向阳,Chapman M.HTI介质中地震各向异性模拟与流体预测.中国地球物理学会第二十八届年会论文集.北京:中国地球物理学会,2012:2Qian Zhongping Li Xiangyang,Chapman M.Seismic anisotropy simulation and fluid prediction in HTI media.The Proceedings of the 28th Annual Conference of Chinese Geophysical Society.Beijing:Chinese Geophysical Society,2012:2
8王海.HTI介质多波方位各向异性分析及裂缝检测方法.成都:成都理工大学,2012Wang Hai.The analysis of azimuthal anisotropy of multi waves in HTImedia and fracture detection methods.Chengdu:Chengdu University of Technology,2012
9 Moradi S,Kristopher A.I.Seismic wave scattering in viscoelastic media:Born approximation.Calgary:CSEG,2015:1037
10洪启宇.地震波在黏弹性各向异性地壳介质中的传播及其应用研究.北京:中国地震局地球物理研究所,2016Hong Qiyu.Seismic wave propagation in anisotropic viscoelastic crust media and its application.Beijing:Institue of Geophysics,China Earthquake Administration,2016
11白旭明.黏弹性各向异性裂缝性介质地震波场传播特征研究.中国石油学会2017年物探技术研讨会论文集.北京:中国石油学会物探专业委员会,2017:4Bai Xuming.Seismic wave propagation characteristics of viscoelastic anisotropic fractured media.China Petroleum Institute 2017 Geophysical Technology Symposium Proceedings.Beijing:Society of Petroleum Geophysicists,2017:4
12张广智.HTI介质各向异性参数求取与裂缝预测方法研究.中国石油学会2017年物探技术研讨会论文集.北京:中国石油学会物探专业委员会,2017:8Zhang Guangzhi.Research on obtaining anisotropic parameters of HTI medium and crack prediction.China Petroleum Institute 2017Geophysical Technology Symposium Proceedings.Beijing:Society of Petroleum Geophysicists,2017:8
13陈楠,徐雷鸣,宋志翔.HTI介质方位AVO(AVAZ)正演模拟软件研制与应用.地球物理学进展,2017;32(3):1331-1338Chen Nan,Xu Leiming,Song Zhixiang.Development and application of HTI media azimuth AVO(AVAZ)forward modeling software.Progress in Geophysics,2017;32(3):1331-1338
14梁锴.TI介质地震波传播特征与正演方法研究.北京:中国石油大学,2009Liang Kai.The study on propagation feature and forward modeling of seismic wave in TI media.Beijing:China University of Petroleum,2009
15何现启.EDA介质中地震波传播特征及参数反演研究.长沙:中南大学,2010He Xianqi.The study of characteristics of seismic wave propagation in EDA and parameter inversion.Changsha:Central South University,2010
16 Sharma M D.Propagation of inhomogeneous plane waves in anisotropic viscoelastic media.Acta Mechanica.2008;200(3):145-154
17 Sharma M D.Propagation of inhomogeneous plane waves in dissipative anisotropic poroelastic solids.Geophysical Journal International.2005;163(3):981-990
18 Cerveny V,Psenck I.Plane waves in viscoelastic anisotropic mediaII.numerical examples.Geophysical Journal International.2005;161(3):213-229
19 Cerveny V,Psenck I.Slowness vectors of harmonic plane waves in viscoelastic anisotropic media.Prague:Charles University,2003
20 Cerveny V.Homogeneous plane waves in viscoelastic anisotropic media.Prague:Charles University,2003
21 Cerveny V.Homogeneous plane waves in viscoelastic anisotropic media.Acta Echanica.2008;200(3):145-154
22 Vavrycuk V.Velocity,attenuation,and quality factor in anisotropic viscoelastic media:A perturbation approach.Geophysics,2008;73(5):D63-D73
23 Vavryˇcuk V.Parabolic lines and caustics in homogeneous weakly anisotropic solids.Geophysical Journal International,2003;152(2):318-334