基于双相介质BISQ模型的地震波正演模拟
|
摘要
Biot流动机制和喷射流动机制是含流体孔隙介质中的两种重要的力学机制,同时包含这两种机制的BISQ模型能够更好地反映孔隙介质中弹性波的传播规律。本文从BISQ模型的基本方程出发,推导了完全匹配层(PML)吸收边界的交错网格高阶有限差分方法的表达式,对双相各向同性介质中地震波场进行了数值模拟;然后通过调整孔隙度、渗透率等储层参数,对比分析了储层参数对双相介质波场特征的影响。数值模拟结果表明,基于BISQ模型的正演模拟正确反映了双相各向同性介质的波场特征;储层参数取值变化对波场特征的影响也十分明显。
Biot-flow and squirt-flow are two most important mechanisms in porous media containing fluids.The BISQ model involving these two mechanisms can reflect very well the propagation law of elastic wave in porous media.A seismic wave modeling of two-phase media based on BISQ model is proposed in this paper.From the fundamental equations of BISQ model,we first derive the expression of a staggered grid and high-order finite difference method using the absorbing boundary of perfect matched layer(PML).Then we carry out a numerical modeling of seismic wave filed in the two-phase isotropic media.Finally we analyze impacts of parameter variation upon wave filed by adjusting the porosity and permeability parameters.The numerical modeling results show that the forward modeling based on BISQ model correctly reflect the wave field characteristics in two-phase isotropic media,and that the influences caused by the variation of model parameters on wave field are very obvious.
Biot-flow and squirt-flow are two most important mechanisms in porous media containing fluids.The BISQ model involving these two mechanisms can reflect very well the propagation law of elastic wave in porous media.A seismic wave modeling of two-phase media based on BISQ model is proposed in this paper.From the fundamental equations of BISQ model,we first derive the expression of a staggered grid and high-order finite difference method using the absorbing boundary of perfect matched layer(PML).Then we carry out a numerical modeling of seismic wave filed in the two-phase isotropic media.Finally we analyze impacts of parameter variation upon wave filed by adjusting the porosity and permeability parameters.The numerical modeling results show that the forward modeling based on BISQ model correctly reflect the wave field characteristics in two-phase isotropic media,and that the influences caused by the variation of model parameters on wave field are very obvious.
引文
[1]Biot M A.Theory of propagation of elastic waves in afluid-saturated porous solidⅠ.Low-frequencyrange.Acoustical Society of America,1956,28(2):167～178
[2]Biot M A.Theory of propagation of elastic waves in afluid-saturated porous solidⅡ.Higher frequencyrange.Acoustical Society of America,1956,28(2):179～191
[3]Dvorkin J,Nur A.Dynamic poroelasticity:A unifiedmodel with the Squirt and the Biot mechanisms.Geo-physics,1993,58(4):524～533
[4]Dvorkin J,Nolen-Hoeksema R,Nur A.The Squirt-flow mechanism:Macroscopic description.Geophy-sics,1994,59(3):428～438
[5]Parra J O.The transversely isotropic poroelastic waveequation including the Biot and the Squirt mecha-nisms:Theory and application.Geophysics,1997,62(1):309～318
[6]Yang D H,Zhang Z J.Effects of the Biot and theSquirt-flow coupling interaction on anisotropic elasticwaves.Chinese Science Bulletin,2000,45(23):2130～2138
[7]Yang D H,Zhang Z J.Poroelastic wave equation in-cluding the Biot/Squirt mechanism and the solid/fluidcoupling anisotropy.Wave Motion,2002,35(3):223～245
[8]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):146～159Yang Dinghui and Chen Xiaohong.BISQ model forfluid-filled porous medium.OGP,2001,36(2):146～159
[9]Yang D H,Yang K D.The generalized BISQ waveequation based on the solid/fluid coupling anisotropy.SEG Technical Program Expanded Abstracts,2003,22:1306～1309
[10]Diallo M S,Appel E.Acoustic wave propagation insaturated porous medial:Reformulation of the Biot/Squirt flow theory.Journal of Applied Geophysics,2000,44(4):313～315
[11]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):853～861Yang Kuande,Yang Dinghui and Wang Shuqiang.Wave-field simulation based on the Biot-Squirt equa-tion.Chinese Journal of Geophysics,2002,45(6):853～861
[12]Yang K D,Yang D H.Numerical simulation of elasticwave propagation based on the transversely isotropicBISQ equation.ACTA Seismologica Sinca,2002,15(6):628～635
[13]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):463～468Yang Kuande,Yang Dinghui and Wang Shuqiang.Numerical simulation by staggered grid method forhigh frequency limited BISQ equation.OGP,2002,37(5):463～468
[14]孟庆生,何樵登,朱建伟等.基于BISQ模型双相各向同性介质中地震波数值模拟.吉林大学学报(地球科学版),2003,33(2):217～221Meng Qingsheng,He Qiaodeng,Zhu Jianwei et al.Seismic modeling in isotropic porous media based onBISQ model.Journal of Jilin University(Earth Sci-ence Edition),2003,33(2):217～221
[15]轩义华,何樵登,孟庆生等.基于BISQ机制的双相EDA介质的波场分析.石油地球物理勘探,2006,41(5):550～556Xuan Yihua,He Qiaodeng,Meng Qingsheng et al.Wavefield analysis of biphase EDA medium based onBISQ mechanism.OGP,2006,41(5):550～556
[16]王者江.基于BISQ机制的三维双相正交介质正演模拟及传播特性研究[博士论文].吉林长春:吉林大学,2008
[17]Wang Z J,He Q D,Wang D L.The numerical simula-tion for a 3Dtwo-phase anisotropic medium based onBISQ model.Applied Geophysics,2008,5(1):24～34
[18]Collino F,Tsogka C.Application of the perfectlymatched absorbing layer model to the linear elastody-namic problem in anisotropic heterogeneous media.Geophysics,2001,66(1):294～307
[19]Fornberg B.High-order finite differences and pseudo-spectral method on staggered grids.SIAM J NumerAnal,1990,27(4):904～918
[2]Biot M A.Theory of propagation of elastic waves in afluid-saturated porous solidⅡ.Higher frequencyrange.Acoustical Society of America,1956,28(2):179～191
[3]Dvorkin J,Nur A.Dynamic poroelasticity:A unifiedmodel with the Squirt and the Biot mechanisms.Geo-physics,1993,58(4):524～533
[4]Dvorkin J,Nolen-Hoeksema R,Nur A.The Squirt-flow mechanism:Macroscopic description.Geophy-sics,1994,59(3):428～438
[5]Parra J O.The transversely isotropic poroelastic waveequation including the Biot and the Squirt mecha-nisms:Theory and application.Geophysics,1997,62(1):309～318
[6]Yang D H,Zhang Z J.Effects of the Biot and theSquirt-flow coupling interaction on anisotropic elasticwaves.Chinese Science Bulletin,2000,45(23):2130～2138
[7]Yang D H,Zhang Z J.Poroelastic wave equation in-cluding the Biot/Squirt mechanism and the solid/fluidcoupling anisotropy.Wave Motion,2002,35(3):223～245
[8]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):146～159Yang Dinghui and Chen Xiaohong.BISQ model forfluid-filled porous medium.OGP,2001,36(2):146～159
[9]Yang D H,Yang K D.The generalized BISQ waveequation based on the solid/fluid coupling anisotropy.SEG Technical Program Expanded Abstracts,2003,22:1306～1309
[10]Diallo M S,Appel E.Acoustic wave propagation insaturated porous medial:Reformulation of the Biot/Squirt flow theory.Journal of Applied Geophysics,2000,44(4):313～315
[11]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):853～861Yang Kuande,Yang Dinghui and Wang Shuqiang.Wave-field simulation based on the Biot-Squirt equa-tion.Chinese Journal of Geophysics,2002,45(6):853～861
[12]Yang K D,Yang D H.Numerical simulation of elasticwave propagation based on the transversely isotropicBISQ equation.ACTA Seismologica Sinca,2002,15(6):628～635
[13]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):463～468Yang Kuande,Yang Dinghui and Wang Shuqiang.Numerical simulation by staggered grid method forhigh frequency limited BISQ equation.OGP,2002,37(5):463～468
[14]孟庆生,何樵登,朱建伟等.基于BISQ模型双相各向同性介质中地震波数值模拟.吉林大学学报(地球科学版),2003,33(2):217～221Meng Qingsheng,He Qiaodeng,Zhu Jianwei et al.Seismic modeling in isotropic porous media based onBISQ model.Journal of Jilin University(Earth Sci-ence Edition),2003,33(2):217～221
[15]轩义华,何樵登,孟庆生等.基于BISQ机制的双相EDA介质的波场分析.石油地球物理勘探,2006,41(5):550～556Xuan Yihua,He Qiaodeng,Meng Qingsheng et al.Wavefield analysis of biphase EDA medium based onBISQ mechanism.OGP,2006,41(5):550～556
[16]王者江.基于BISQ机制的三维双相正交介质正演模拟及传播特性研究[博士论文].吉林长春:吉林大学,2008
[17]Wang Z J,He Q D,Wang D L.The numerical simula-tion for a 3Dtwo-phase anisotropic medium based onBISQ model.Applied Geophysics,2008,5(1):24～34
[18]Collino F,Tsogka C.Application of the perfectlymatched absorbing layer model to the linear elastody-namic problem in anisotropic heterogeneous media.Geophysics,2001,66(1):294～307
[19]Fornberg B.High-order finite differences and pseudo-spectral method on staggered grids.SIAM J NumerAnal,1990,27(4):904～918
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