双相各向异性介质中波场速度与衰减特征分析
摘要
基于BISQ模型,分别推导出二维平面内双相各向异性介质中拟快纵波(qP1)、拟慢纵波(qP2)、拟SV波(qSV)和拟SH波(qSH)的波数方程。通过计算机数值计算得到四种类型波的相速度与逆品质因子,在极坐标系中观察地震波速度和衰减随波传播方向的变化规律,发现四种波的各向异性特征表现不同,且衰减各向异性特征表现得比相速度更为强烈。文中分析了孔隙度、黏滞系数、渗透率和喷射流长度等参数在垂直方向以及全传播方位角范围对四种类型波的相速度和衰减的影响,发现这种影响也存在各向异性特征,还分析了不同参数条件下波场特征随频率变化的特性,得出一系列有意义的结论。
Based on BISQ model,the paper deduced the wave number equation of pseudo-fast P-wave (qP1),pseudo-slow P-wave (qP2),pseudo-SV-wave (qSV) and pseudo-SH-wave respectively in biphase anisotropic medium in 2-D plane. It is discovered by phase velocity and inverse quality factor of 4 kinds of wave computed by numeric simulation of computer and changing rule of seismic wave velocity and attenuation along with propagation direction in polar coordinate that there is different performance of anisotropic feature in 4 kinds of wave and the anisotropic feature of attenuation showing stronger than that of phase velocity. The paper analyzed the influence of different parameters such as porosity,viscosity coefficient,permeability and jet stream length on phase velocity and attenuation of 4 kinds of wave in vertical direction and full-propagating azimuth region,which discovered that the influence also has anisotropic feature. Meanwhile,the paper also analyzed the characters that the wavefield changes with frequency in different parameter conditions and gained a series of meaningful conclusions.
Based on BISQ model,the paper deduced the wave number equation of pseudo-fast P-wave (qP1),pseudo-slow P-wave (qP2),pseudo-SV-wave (qSV) and pseudo-SH-wave respectively in biphase anisotropic medium in 2-D plane. It is discovered by phase velocity and inverse quality factor of 4 kinds of wave computed by numeric simulation of computer and changing rule of seismic wave velocity and attenuation along with propagation direction in polar coordinate that there is different performance of anisotropic feature in 4 kinds of wave and the anisotropic feature of attenuation showing stronger than that of phase velocity. The paper analyzed the influence of different parameters such as porosity,viscosity coefficient,permeability and jet stream length on phase velocity and attenuation of 4 kinds of wave in vertical direction and full-propagating azimuth region,which discovered that the influence also has anisotropic feature. Meanwhile,the paper also analyzed the characters that the wavefield changes with frequency in different parameter conditions and gained a series of meaningful conclusions.
引文
[1]Biot MA.Theory of propagation of elastic waves in a fluid-saturated porous solid:I Low-frequency range;II Higher frequency range.J Acoust Soc Amer,1956,28:168～191
[2]Biot M A.Mechanics of deformation and acoustic propa-gation in porous media.J Appl Phys,1962,33(4):1482～1498
[3]Biot M A.Generalized theory of acoustic propagation in porous dissipative media.J Acoust Soc Amer,1962,34(9):1254～1264
[4]Plona TJ.Observation of a second bulk compression-al wave in a porous media at ultrasonic frequencies.Appl Phys Lett,1980,36:259～261
[5]Mavko G,Nur A.Wave attenuationin partially satu-rated rocks.Geophysics,44(2):161～178
[6]Dvorkin J,Nur A.Dynamic poroelasticity:a unified model with the squirt and the Biot mechanisms.Geo-physics,1993,58(4):524～533
[7]Parra J O.The transversely isotropic poroelastic wave equation incuding the Biot and the squirt mecha-nisms:theory and application.Geophysics,1997,62(3):309～318
[8]Parra J O.Poroelastic model to relate seismic wave attenuation and dispersionto permeability anisotropy.Geophysics,2000,65:201～210
[9]Yang K H,Zhang Z J.Effects of the Biot and the squirt-flowcoupling anisotropy.Wave Motion,2002,6:733～735
[10]杨顶辉,陈小宏.含流体多孔介质的BISQ模型.石油地球物理勘探,2001,36(2):146～159
[11]杨顶辉.基于固—流耦合作用各向异性的弹性波方程.中国学术期刊文摘(科技通报),2000,6:733～735
[12]Crampin S.Seismic wave propagation through a cracked solid:polarization as a possible dilatancy diagnostic.Geophys J R astr Soc,1978,53:467～496
[13]Crampin S.A review of wave motion in anisotropic and cracked elastic-media.Wave motion,1981,3:343～391
[14]Crampin S.Effective anisotropic elastic constants for wave propagation through cracked solids.Geophys J R astr Soc,1984,76:135～145
[15]Byun B S.Seismic parameters for transversely iso-tropic media.Geophysics,1984,49:1908～1914
[16]Carcione J M,Kosloff Det al.Aspectral scheme for wave propagation si mulationin3-Delastic-anisotropic media.Geophysics,1992,57:1593～1607
[17]Igel H,Mora P,Riollet B.Anisotropic wave propaga-tion through finite-difference grids.Geophysics,1995,60:1203～1261
[18]Dai V,Vaficlis A.Wave propagation in heterogene-ous porous media:A velocity-stress,finite-difference method.Geophysics,1995,60:327～340
[19]李红星,刘财,陶春辉.基于横向各向同性BISQ模型的弹性波高阶交错网格有限差分数值模拟.石油地球物理勘探,2007,42(6):686～693
[20]杨宽德,杨顶辉,王书强.基于Biot-Squirt方程的波场模拟.地球物理学报,2002,45(6):853～861
[21]杨宽德,杨顶辉,王书强.基于BISQ高频极限方程的交错网格法数值模拟.石油地球物理勘探,2002,37(5):463～468
[22]裴正林.双相各向异性介质弹性波传播交错网格高阶有限差分法模拟.石油地球物理勘探,2006,41(2):137～143
[23]阴可,杨慧珠.各向异性介质中的AVO.地球物理学报,1998,41(3):382～391
[24]汪和杰,董敏煜.由裂隙引起的三分量资料中的泛张各向异性.石油地球物理勘探,1998,33(2):185～190
[25]张中杰,何樵登.含裂隙介质中地震运动学问题正演模拟.石油地球物理勘探,1989,24(3):290～300
[26]刘克安,郭萍.双相介质二维波动方程三参数同时反演正则迭代法.石油地球物理勘探,1997,32:615～622
[27]席道瑛,易良坤,马勇等.砂岩中孔隙流体的黏性与衰减、模量和速度色散.石油地球物理勘探,1999,34(4):420～425
[28]李红星,刘财,吴志成,陶春辉.基于BISQ机制的双相孔隙介质三维数值模拟研究.石油天然气学报,2008,30(2):77～80
[2]Biot M A.Mechanics of deformation and acoustic propa-gation in porous media.J Appl Phys,1962,33(4):1482～1498
[3]Biot M A.Generalized theory of acoustic propagation in porous dissipative media.J Acoust Soc Amer,1962,34(9):1254～1264
[4]Plona TJ.Observation of a second bulk compression-al wave in a porous media at ultrasonic frequencies.Appl Phys Lett,1980,36:259～261
[5]Mavko G,Nur A.Wave attenuationin partially satu-rated rocks.Geophysics,44(2):161～178
[6]Dvorkin J,Nur A.Dynamic poroelasticity:a unified model with the squirt and the Biot mechanisms.Geo-physics,1993,58(4):524～533
[7]Parra J O.The transversely isotropic poroelastic wave equation incuding the Biot and the squirt mecha-nisms:theory and application.Geophysics,1997,62(3):309～318
[8]Parra J O.Poroelastic model to relate seismic wave attenuation and dispersionto permeability anisotropy.Geophysics,2000,65:201～210
[9]Yang K H,Zhang Z J.Effects of the Biot and the squirt-flowcoupling anisotropy.Wave Motion,2002,6:733～735
[10]杨顶辉,陈小宏.含流体多孔介质的BISQ模型.石油地球物理勘探,2001,36(2):146～159
[11]杨顶辉.基于固—流耦合作用各向异性的弹性波方程.中国学术期刊文摘(科技通报),2000,6:733～735
[12]Crampin S.Seismic wave propagation through a cracked solid:polarization as a possible dilatancy diagnostic.Geophys J R astr Soc,1978,53:467～496
[13]Crampin S.A review of wave motion in anisotropic and cracked elastic-media.Wave motion,1981,3:343～391
[14]Crampin S.Effective anisotropic elastic constants for wave propagation through cracked solids.Geophys J R astr Soc,1984,76:135～145
[15]Byun B S.Seismic parameters for transversely iso-tropic media.Geophysics,1984,49:1908～1914
[16]Carcione J M,Kosloff Det al.Aspectral scheme for wave propagation si mulationin3-Delastic-anisotropic media.Geophysics,1992,57:1593～1607
[17]Igel H,Mora P,Riollet B.Anisotropic wave propaga-tion through finite-difference grids.Geophysics,1995,60:1203～1261
[18]Dai V,Vaficlis A.Wave propagation in heterogene-ous porous media:A velocity-stress,finite-difference method.Geophysics,1995,60:327～340
[19]李红星,刘财,陶春辉.基于横向各向同性BISQ模型的弹性波高阶交错网格有限差分数值模拟.石油地球物理勘探,2007,42(6):686～693
[20]杨宽德,杨顶辉,王书强.基于Biot-Squirt方程的波场模拟.地球物理学报,2002,45(6):853～861
[21]杨宽德,杨顶辉,王书强.基于BISQ高频极限方程的交错网格法数值模拟.石油地球物理勘探,2002,37(5):463～468
[22]裴正林.双相各向异性介质弹性波传播交错网格高阶有限差分法模拟.石油地球物理勘探,2006,41(2):137～143
[23]阴可,杨慧珠.各向异性介质中的AVO.地球物理学报,1998,41(3):382～391
[24]汪和杰,董敏煜.由裂隙引起的三分量资料中的泛张各向异性.石油地球物理勘探,1998,33(2):185～190
[25]张中杰,何樵登.含裂隙介质中地震运动学问题正演模拟.石油地球物理勘探,1989,24(3):290～300
[26]刘克安,郭萍.双相介质二维波动方程三参数同时反演正则迭代法.石油地球物理勘探,1997,32:615～622
[27]席道瑛,易良坤,马勇等.砂岩中孔隙流体的黏性与衰减、模量和速度色散.石油地球物理勘探,1999,34(4):420～425
[28]李红星,刘财,吴志成,陶春辉.基于BISQ机制的双相孔隙介质三维数值模拟研究.石油天然气学报,2008,30(2):77～80
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