黏弹性介质VSP记录模拟及在估算Q值研究中应用
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摘要
采用标准线性固体模型,本文建立了黏弹性介质完全匹配层吸收边界的高阶速度一应力交错网格有限差分算法,并对黏弹性介质中的地震波传播进行了数值模拟.基于黏弹性波动方程正演模拟提供的零偏VSP全波场数据,本文进行了质心频移法计算Q值的反演分析.结果表明,反射波、转换波及短程多次波对频谱的影响较大,对Q值反演造成一定误差.本文的结论为实际零偏VSP资料估算地层Q值提供了有益的指导.
Using the standard linear solid model,a high-order velocity-stress staggered-grid finite-difference scheme with the perfectly matched layer method was proposed for simulating seismic wave propagation in viscoelastic media.With the full-wave field data of viscoelastic modeling of zero-offset VSP from several numerical experiments,the frequency shift method to calculate Q-value was analyzed.The numerical results showed that reflected waves,transformed waves and short-path multiples have relatively large influences on the frequency spectra of received data,and make further impacts on the Q-value inversion.The conclusions taken from the paper can provide helpful guidance for the estimation of subsurface interval Q-value with oilfield zero-offset VSP data.
Using the standard linear solid model,a high-order velocity-stress staggered-grid finite-difference scheme with the perfectly matched layer method was proposed for simulating seismic wave propagation in viscoelastic media.With the full-wave field data of viscoelastic modeling of zero-offset VSP from several numerical experiments,the frequency shift method to calculate Q-value was analyzed.The numerical results showed that reflected waves,transformed waves and short-path multiples have relatively large influences on the frequency spectra of received data,and make further impacts on the Q-value inversion.The conclusions taken from the paper can provide helpful guidance for the estimation of subsurface interval Q-value with oilfield zero-offset VSP data.
引文
[1] Robertsson J O A,Blance J O,Symes W W.Viscoelastic finite-difference modeling.Geophysics,1994,59:1444～1456
[2] Wang X M,Kevin D.Viscoelastic wave modeling using a staggered high-order finite-difference in inhomogeneous media.Expanded Abstracts,6~(th) SEGJ International Symposium:Imaging and Technology,Tokyo,2003
[3] Saenger E,Bohlen T.Finite-difference modeling of viscoelastic and anisotropic wave propagation using the rotated staggered grid.Geophysics,2004,69:583～591
[4] Eliane B,Abdelaaziz E,Patrick J.A mixed finite element approach for viscoelastic wave propagation.Computational Geosciences,2004,8:255～299
[5] Carcione J M.Seismic modeling in viscoelastic media.Geophysics,1993,58:110～120
[6] 单启铜,乐友善.PML边界条件下二维粘弹性介质波场模拟.石油物探,2007,46(2) :126～130 Shan Q T,Le Y S.Wavefield simulation of 2-D viscoelastic medium in perfectly matched layer boundary.Geophysical Prospecting for Petroleum (in Chinese),2007,46(2) :126～130
[7] Winkler K W,Nur A.Attenuation:effects of pores and frictional sliding.Geophysics,1982,47(1) :1～15
[8] William F,Murphy Ⅲ.Effects of partial water saturation on attenuation in Massilon sandstone and Vycor porous glass.J.Acoust.Soc.Am.,1982,71(6) :1458～1467
[9] Wright C,Hoy D.A note on pulse broadening and anelastic attenuation in near-surface rocks.Phys.Earth Planetary Int.,1981,25(1) :1～8
[10] Brzostowski M,McMechan G.3-D tomographic imaging of near-surface seismic velocity and attenuation.Geophysics,1992,57(3) :396～403
[11] Hauge P S.Measurements of attenuation from vertical seismic profiles.Geophysics,1981,46(11) :1548～1558
[12] Quan Y,Harris J M.Seismic attenuation tomography using the frequency shift method.Geophysics,1997,62(3) :895～905
[13] 高静怀,杨森林.利用零偏移VSP资料估计介质品质因子方法研究.地球物理学报,2007,50(4) :1198～1209 Gao J H,Yang S L.On the method of quality factors estimation from zero-offset VSP data.Chinese J.Geophys.(in Chinese),2007,50(4) :1198～1209
[14] 赵伟,葛艳.利用零偏移距VSP资料在小波域计算介质Q值.地球物理学报,2008,51(4) :1202～1208 Zhao W,Ge Y.Estimation of Q from VSP data with zero off set in wavelet domain.Chinese J.Geophys.(in Chinese),2008,51(4) :1202～1208
[15] Christensen R M.Theory of Viscoelasticity-An Introduction.New York:Academic Press,1982:14～16
[16] Toverud T,Ursin B.Estimation of viscoelastic parameters from zero-offset VSP data.Expanded Abstracts,61~(st) EAGE Conference,Helsinki,Session;4． 29,1999
[17] Carcione J M,Kosloff D,Kosloff R.Wave propagation simulation in a linear viscoacoustic medium.Geophys.J.Roy.Astr.Soc.,1988,93:393～407
[18] Robertsson J O A,Blance J O,Symes W W.Viscoelastic finite-difference modeling.Geophysics,1994,59:1444～1456
[19] Hestholm S O,Ruud B O.2D finite-difference viscoelastic wave modeling including surface topography.Geophys.Prop.,2000,48:341～373
[20] 张海澜,王秀明,张碧星.井孔的声场和波.北京:科学出版社,2004:140～150 Zhang H L,Wang X M,Zhang B X.Acoustic Field and Wave in Borehole (in Chinese).Beijing:Science Press,2004:140～150
[21] 赵海波,王秀明,王东等.完全匹配层吸收边界在孔隙介质弹性波模拟中的应用.地球物理学报,2007,50(2) :581～591 Zhao H B,Wang X M,Wang D,et al.Applications of the boundary absorption using a perfectly matched layer for elastic wave simulation in poroelastic media.Chinese J.Geophys.(in Chinese),2007,50(2) :581～591
[22] Gardner G H F,Gardner L W,Gregory A R.The diagnostic basis for stratigraphic straps.Geophysics,1974,39:770～780
[2] Wang X M,Kevin D.Viscoelastic wave modeling using a staggered high-order finite-difference in inhomogeneous media.Expanded Abstracts,6~(th) SEGJ International Symposium:Imaging and Technology,Tokyo,2003
[3] Saenger E,Bohlen T.Finite-difference modeling of viscoelastic and anisotropic wave propagation using the rotated staggered grid.Geophysics,2004,69:583～591
[4] Eliane B,Abdelaaziz E,Patrick J.A mixed finite element approach for viscoelastic wave propagation.Computational Geosciences,2004,8:255～299
[5] Carcione J M.Seismic modeling in viscoelastic media.Geophysics,1993,58:110～120
[6] 单启铜,乐友善.PML边界条件下二维粘弹性介质波场模拟.石油物探,2007,46(2) :126～130 Shan Q T,Le Y S.Wavefield simulation of 2-D viscoelastic medium in perfectly matched layer boundary.Geophysical Prospecting for Petroleum (in Chinese),2007,46(2) :126～130
[7] Winkler K W,Nur A.Attenuation:effects of pores and frictional sliding.Geophysics,1982,47(1) :1～15
[8] William F,Murphy Ⅲ.Effects of partial water saturation on attenuation in Massilon sandstone and Vycor porous glass.J.Acoust.Soc.Am.,1982,71(6) :1458～1467
[9] Wright C,Hoy D.A note on pulse broadening and anelastic attenuation in near-surface rocks.Phys.Earth Planetary Int.,1981,25(1) :1～8
[10] Brzostowski M,McMechan G.3-D tomographic imaging of near-surface seismic velocity and attenuation.Geophysics,1992,57(3) :396～403
[11] Hauge P S.Measurements of attenuation from vertical seismic profiles.Geophysics,1981,46(11) :1548～1558
[12] Quan Y,Harris J M.Seismic attenuation tomography using the frequency shift method.Geophysics,1997,62(3) :895～905
[13] 高静怀,杨森林.利用零偏移VSP资料估计介质品质因子方法研究.地球物理学报,2007,50(4) :1198～1209 Gao J H,Yang S L.On the method of quality factors estimation from zero-offset VSP data.Chinese J.Geophys.(in Chinese),2007,50(4) :1198～1209
[14] 赵伟,葛艳.利用零偏移距VSP资料在小波域计算介质Q值.地球物理学报,2008,51(4) :1202～1208 Zhao W,Ge Y.Estimation of Q from VSP data with zero off set in wavelet domain.Chinese J.Geophys.(in Chinese),2008,51(4) :1202～1208
[15] Christensen R M.Theory of Viscoelasticity-An Introduction.New York:Academic Press,1982:14～16
[16] Toverud T,Ursin B.Estimation of viscoelastic parameters from zero-offset VSP data.Expanded Abstracts,61~(st) EAGE Conference,Helsinki,Session;4． 29,1999
[17] Carcione J M,Kosloff D,Kosloff R.Wave propagation simulation in a linear viscoacoustic medium.Geophys.J.Roy.Astr.Soc.,1988,93:393～407
[18] Robertsson J O A,Blance J O,Symes W W.Viscoelastic finite-difference modeling.Geophysics,1994,59:1444～1456
[19] Hestholm S O,Ruud B O.2D finite-difference viscoelastic wave modeling including surface topography.Geophys.Prop.,2000,48:341～373
[20] 张海澜,王秀明,张碧星.井孔的声场和波.北京:科学出版社,2004:140～150 Zhang H L,Wang X M,Zhang B X.Acoustic Field and Wave in Borehole (in Chinese).Beijing:Science Press,2004:140～150
[21] 赵海波,王秀明,王东等.完全匹配层吸收边界在孔隙介质弹性波模拟中的应用.地球物理学报,2007,50(2) :581～591 Zhao H B,Wang X M,Wang D,et al.Applications of the boundary absorption using a perfectly matched layer for elastic wave simulation in poroelastic media.Chinese J.Geophys.(in Chinese),2007,50(2) :581～591
[22] Gardner G H F,Gardner L W,Gregory A R.The diagnostic basis for stratigraphic straps.Geophysics,1974,39:770～780
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