粘弹各向异性介质中地震波场模拟与特征
|
摘要
通过引入记忆变量,可以避免粘弹性应力-应变关系中的褶积运算,使波场数值模拟易于实现.通过伪谱法对粘弹各向异性介质中的qP波、qS波数值模拟,结合理论分析,研究了粘弹各向异性介质中速度各向异性和衰减各向异性.衰减各向异性要比速度各向异性更为显著,并且qS波比qP波的衰减各向异性明显.粘弹各向异性介质中,粘弹性对波的影响主要在于波的衰减,各向异性主要影响波前面形状.
By introducing memory variables,superposition operation can be avoided,so wave fields modeling can be easily processed.And by means of pseudospectrum method modeling qP and qS waves in viscoelastic anisotropic meida,with theory analysis,the velocity anisotropy and attenuation anisotropy are investigated.Attenuation anisotropy is more obvious than velocity anisotropy,and the attenuation anisotropy of qS waves is more significant than that of qP waves.In viscoelastic anisotropic media,the effects of viscoelasticity is mainly on wave attenuation and anisotropy on wave fronts.
By introducing memory variables,superposition operation can be avoided,so wave fields modeling can be easily processed.And by means of pseudospectrum method modeling qP and qS waves in viscoelastic anisotropic meida,with theory analysis,the velocity anisotropy and attenuation anisotropy are investigated.Attenuation anisotropy is more obvious than velocity anisotropy,and the attenuation anisotropy of qS waves is more significant than that of qP waves.In viscoelastic anisotropic media,the effects of viscoelasticity is mainly on wave attenuation and anisotropy on wave fronts.
引文
[1]Borcherdt R D.Reflection and reflaction of type-II S waves inelastic and anelastic media[J].Bull.Seis.Soc.Am.1977(67):43~67.
[2]Borcherdt R D.Reflection-refraction of general P-and type-IS-waves in elastic and anelastic solids[J].Geophys.J.Roy.Astr.Soc.,1982(70):621~638.
[3]Borcherdt R D,Wennerberg L,General P.type-I S,andtype-II S waves in anelastic solids.Inhomogeneous wave fieldsin low-loss solids[J],Bull.Seis.Soc.Am.1985(75):1729~1763.
[4]Tsvankin I.Seismic signatures and analysis of reflection datain anisotropic meida.Pergamon,2001.
[5]Carcione J M.Attenuation and quality factor surfaces in aniso-tropic-viscoelastic media[J].Mechanics of materials,1995(19):311~327.
[6]杨顶辉.双相各向异性介质中弹性波方程的有限元解法及波场模拟[J].地球物理学报,2002,45(4):575~583.
[7]张中杰.地震各向异性研究进展[J].地球物理学进展,2002,17(2):281~293.
[8]王光杰.多波多分量地震探测技术[J].地球物理学进展,2000,15(1):54~60.
[9]王德利.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.
[10]谢桂生.伪谱法地震波正演模拟的多线程并行计算[J].地球物理学进展,2005,20(1):17~23.
[11]刘财,张智,邵志刚.线性粘弹体中地震波场伪谱法模拟技术[J].地球物理学进展,2005,20(3):640~644.
[12]张智,刘财,邵志刚.伪谱法在常Q粘弹介质地震波场模拟中的应用效果[J].地球物理学进展,2005,20(4):945~949.
[13]侯安宁,何樵登.各向异性介质中弹性波传播特征的伪谱法模拟研究[J].石油物探,1995,34(2):36~45.
[14]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.
[15]牛滨华,孙春岩.地震波理论研究进展[J].地球物理学进展,2004,19(2):255~263..
[16]吴国忱,王华忠.波场模拟中的数值频散分析与校正策略[J].地球物理学进展,2005,20(1):58~65.
[17]杜启振,王延光,付水华.方位各向异性粘弹性介质波场数值模拟[J].地球物理学进展,2006,21(2):502~504.
[18]李景叶,陈小宏.横向各向同性介质地震波场数值模拟研究[J].地球物理学进展,2006,21(3):700~705.
[19]殷文,印兴耀.高精度频率域弹性波方程有限差分方法及波场模拟[J].地球物理学报,2006,49(2):561~568.
[20]王东,张海澜,王秀明.部分饱和孔隙岩石中声波传播数值研究[J].地球物理学报,2006,49(2):524~532.
[21]刘恩儒,岳建华,刘彦.具有离散裂缝空间分布的二维固体中地震波传播的有限差分模拟[J].地球物理学报,2006,49(1):180~188.
[22]Carcione J M.Wave fields in real media:wave propagationin anisotropic,anelastic and porous media.Pergamon,2001.
[23]Carcione J M.Constitutive model and wave equations for lin-ear,viscoelastic,anisotropic media[J].Geophysics,1995,60(2):537~548.
[24]Carcione J M.Wave propagation in anisotropic linear viscoe-lastic media:Theory and simulated wavefield[J].Geophys.J.Int.,1990,101:739~750.
[25]Carcione J M.Wavefronts in dissipative anisotropic media:Comparison of the plane-wave theory with numerical model-ing[J].Geophysics,1996,61(3):857~861.
[26]Yaping Zhu,Ilya Tsvankin.Plane-wave propagation in atten-uative transversely isotropic media[J].Geophysics,2006,71(2):17~30.
[2]Borcherdt R D.Reflection-refraction of general P-and type-IS-waves in elastic and anelastic solids[J].Geophys.J.Roy.Astr.Soc.,1982(70):621~638.
[3]Borcherdt R D,Wennerberg L,General P.type-I S,andtype-II S waves in anelastic solids.Inhomogeneous wave fieldsin low-loss solids[J],Bull.Seis.Soc.Am.1985(75):1729~1763.
[4]Tsvankin I.Seismic signatures and analysis of reflection datain anisotropic meida.Pergamon,2001.
[5]Carcione J M.Attenuation and quality factor surfaces in aniso-tropic-viscoelastic media[J].Mechanics of materials,1995(19):311~327.
[6]杨顶辉.双相各向异性介质中弹性波方程的有限元解法及波场模拟[J].地球物理学报,2002,45(4):575~583.
[7]张中杰.地震各向异性研究进展[J].地球物理学进展,2002,17(2):281~293.
[8]王光杰.多波多分量地震探测技术[J].地球物理学进展,2000,15(1):54~60.
[9]王德利.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.
[10]谢桂生.伪谱法地震波正演模拟的多线程并行计算[J].地球物理学进展,2005,20(1):17~23.
[11]刘财,张智,邵志刚.线性粘弹体中地震波场伪谱法模拟技术[J].地球物理学进展,2005,20(3):640~644.
[12]张智,刘财,邵志刚.伪谱法在常Q粘弹介质地震波场模拟中的应用效果[J].地球物理学进展,2005,20(4):945~949.
[13]侯安宁,何樵登.各向异性介质中弹性波传播特征的伪谱法模拟研究[J].石油物探,1995,34(2):36~45.
[14]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.
[15]牛滨华,孙春岩.地震波理论研究进展[J].地球物理学进展,2004,19(2):255~263..
[16]吴国忱,王华忠.波场模拟中的数值频散分析与校正策略[J].地球物理学进展,2005,20(1):58~65.
[17]杜启振,王延光,付水华.方位各向异性粘弹性介质波场数值模拟[J].地球物理学进展,2006,21(2):502~504.
[18]李景叶,陈小宏.横向各向同性介质地震波场数值模拟研究[J].地球物理学进展,2006,21(3):700~705.
[19]殷文,印兴耀.高精度频率域弹性波方程有限差分方法及波场模拟[J].地球物理学报,2006,49(2):561~568.
[20]王东,张海澜,王秀明.部分饱和孔隙岩石中声波传播数值研究[J].地球物理学报,2006,49(2):524~532.
[21]刘恩儒,岳建华,刘彦.具有离散裂缝空间分布的二维固体中地震波传播的有限差分模拟[J].地球物理学报,2006,49(1):180~188.
[22]Carcione J M.Wave fields in real media:wave propagationin anisotropic,anelastic and porous media.Pergamon,2001.
[23]Carcione J M.Constitutive model and wave equations for lin-ear,viscoelastic,anisotropic media[J].Geophysics,1995,60(2):537~548.
[24]Carcione J M.Wave propagation in anisotropic linear viscoe-lastic media:Theory and simulated wavefield[J].Geophys.J.Int.,1990,101:739~750.
[25]Carcione J M.Wavefronts in dissipative anisotropic media:Comparison of the plane-wave theory with numerical model-ing[J].Geophysics,1996,61(3):857~861.
[26]Yaping Zhu,Ilya Tsvankin.Plane-wave propagation in atten-uative transversely isotropic media[J].Geophysics,2006,71(2):17~30.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心