基于修正Xu-White模型的碳酸盐岩横波速度估算方法
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摘要
在许多实际地球物理资料中往往缺失横波速度信息,这给叠前地震属性分析和叠前地震反演均带来不利影响。如今针对碎屑岩地区的横波速度预测方法已日趋成熟,而针对碳酸盐岩地区的研究相对较少。本文基于经典Xu-White模型,从岩石物理角度构建出一种适用于碳酸盐岩的修正Xu-White模型;然后类比于Pick-ett、Castagna等建立的碳酸盐岩纵横波速度经验公式,建立了更适用于碳酸盐岩地区的经验公式;将该经验公式和修正Xu-White模型应用于实际碳酸盐岩地区的横波速度预测,对预测结果进行的对比分析证实,修正Xu-White模型具有更高的横波速度预测精度。
In a number of actual geophysical data,the shortage of shear velocity will bring some difficulties for prestack seismic attributes analysis and prestack seismic inversion.However,shear velocity estimation methods of clastic rocks have been developed more mature than shear velocity estimation methods of carbonate rocks.In this work,based on classic Xu-White model,the improved Xu-White model for carbonate rocks is constructed from rock physics theory.Then through an analogy study of empirical equations for carbonate rocks built by Pickett,Castagna and so on,the empirical relations for the practical carbonate zones.Finally the empirical equations and the improved Xu-White model are used to calculate shear velocity for the practical carbonate zone.The estimated results illustrate that higher predicted accuracy of shear velocity can be obtained by the improved Xu-White model.
In a number of actual geophysical data,the shortage of shear velocity will bring some difficulties for prestack seismic attributes analysis and prestack seismic inversion.However,shear velocity estimation methods of clastic rocks have been developed more mature than shear velocity estimation methods of carbonate rocks.In this work,based on classic Xu-White model,the improved Xu-White model for carbonate rocks is constructed from rock physics theory.Then through an analogy study of empirical equations for carbonate rocks built by Pickett,Castagna and so on,the empirical relations for the practical carbonate zones.Finally the empirical equations and the improved Xu-White model are used to calculate shear velocity for the practical carbonate zone.The estimated results illustrate that higher predicted accuracy of shear velocity can be obtained by the improved Xu-White model.
引文
[1]孙福利,杨长春,麻三怀等.横波速度预测方法.地球物理学进展,2008,23(2):470～474Sun Fuli,Yang Changchun,Ma Sanhuai et al.An S-wave velocity predicted method.Progress in Geo-physics,2008,23(2):470～474
[2]Kuster G T,Toksz M N.Velocity and attenuation ofseismic waves in two-phase media.Geophysics,1974,39(5):587～618
[3]Xu S,White R E.A new velocity model for clay-sandmixtures.Geophysical Prospecting,1995,43(1):91～118
[4]Gassmann F.Uber die elastizitat poroser medien.Vi-erteljahrsschrift der Naturforschende Gesellschaft,1951,96:1～23
[5]Han D H.Effects of Porosity and Clay Content onAcoustic Properties of Sandstones and Unconsolidat-ed Sediments[D].Stanford University,1986
[6]Castagna J P,Batzle M L,Kan T K.Rock physics—The link between rock,properties and AVO re-sponse.∥Castagna J P,Backus M.Offset-Depend-ent Reflectivity-Theory and Practice of AVO Anal-ysis.Tulas,Oklahoma:Investigations in Geophysics,No.8,Society of Exploration Geophysicists,1993,135～171
[7]Pickett G R.Acoustic character logs and their appli-cations in formation evaluation.Pet Technol,1963,15(6):650～667
[8]Milholland P,Manghnani M H,Schlanger S O et al.Geoacoustic modeling of deep-sea carbonate sedi-ments.Acoust Soc Am,1980,68:1351～1360
[9]Hill R.A self-consistent mechanics of composite ma-terials.J Mech Phys Solids,13(4):213～222
[10]Keys R G,Xu S Y.An approximation for the Xu-White velocity model.Geophysics,2002,67(5):1406～1414
[11]Wood A W.A Textbook of Sound.New York:TheMacMillan Co,1995,360
[12]韩文功,印兴耀,王兴谋等.地震技术新进展(上).山东东营:中国石油大学出版社,2005
[13]Gary M,Tapan M,Jack D.Rock Physics Hankbank.Cambridge:Cambridge University Press,1998,184～185,219～224
[14]Thierry C,Gary M,Bernard Z.Fluid distributioneffect on sonic attenuation in partially saturated lime-stones.Geophysics,1998,63(1):154～160
[15]周水生,张波,伍向阳.流体替换方法研究及应用分析.地球物理学进展,2009,24(5):1660～1664Zhou Shuisheng,Zhang Bo,Wu Xiangyang.Researchon fluid substitution method and its application.Pro-gress in Geophysics,2009,24(5):1660～1664
[16]Kumar M,Han Dehua.Pore shape effect on elasticproperties of carbonate rocks.SEG Technical Pro-gram Expanded Abstraetsl,2005,24:1477～1480
[17]Xu Shiyu,Michael A Payne.Modeling elastic proper-ties in carbonate rocks.The Leading Edge,2009,28(1):66～74
[18]Hashin Z,Shtrikman S.A variational approach totheory of elastic behavior of multiphase materials.JMech Phys Solids,11(2):127～140
[2]Kuster G T,Toksz M N.Velocity and attenuation ofseismic waves in two-phase media.Geophysics,1974,39(5):587～618
[3]Xu S,White R E.A new velocity model for clay-sandmixtures.Geophysical Prospecting,1995,43(1):91～118
[4]Gassmann F.Uber die elastizitat poroser medien.Vi-erteljahrsschrift der Naturforschende Gesellschaft,1951,96:1～23
[5]Han D H.Effects of Porosity and Clay Content onAcoustic Properties of Sandstones and Unconsolidat-ed Sediments[D].Stanford University,1986
[6]Castagna J P,Batzle M L,Kan T K.Rock physics—The link between rock,properties and AVO re-sponse.∥Castagna J P,Backus M.Offset-Depend-ent Reflectivity-Theory and Practice of AVO Anal-ysis.Tulas,Oklahoma:Investigations in Geophysics,No.8,Society of Exploration Geophysicists,1993,135～171
[7]Pickett G R.Acoustic character logs and their appli-cations in formation evaluation.Pet Technol,1963,15(6):650～667
[8]Milholland P,Manghnani M H,Schlanger S O et al.Geoacoustic modeling of deep-sea carbonate sedi-ments.Acoust Soc Am,1980,68:1351～1360
[9]Hill R.A self-consistent mechanics of composite ma-terials.J Mech Phys Solids,13(4):213～222
[10]Keys R G,Xu S Y.An approximation for the Xu-White velocity model.Geophysics,2002,67(5):1406～1414
[11]Wood A W.A Textbook of Sound.New York:TheMacMillan Co,1995,360
[12]韩文功,印兴耀,王兴谋等.地震技术新进展(上).山东东营:中国石油大学出版社,2005
[13]Gary M,Tapan M,Jack D.Rock Physics Hankbank.Cambridge:Cambridge University Press,1998,184～185,219～224
[14]Thierry C,Gary M,Bernard Z.Fluid distributioneffect on sonic attenuation in partially saturated lime-stones.Geophysics,1998,63(1):154～160
[15]周水生,张波,伍向阳.流体替换方法研究及应用分析.地球物理学进展,2009,24(5):1660～1664Zhou Shuisheng,Zhang Bo,Wu Xiangyang.Researchon fluid substitution method and its application.Pro-gress in Geophysics,2009,24(5):1660～1664
[16]Kumar M,Han Dehua.Pore shape effect on elasticproperties of carbonate rocks.SEG Technical Pro-gram Expanded Abstraetsl,2005,24:1477～1480
[17]Xu Shiyu,Michael A Payne.Modeling elastic proper-ties in carbonate rocks.The Leading Edge,2009,28(1):66～74
[18]Hashin Z,Shtrikman S.A variational approach totheory of elastic behavior of multiphase materials.JMech Phys Solids,11(2):127～140
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