利用常规测井资料基于岩石物理和多矿物分析反演横波速度
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摘要
测井横波速度是测井地震联合反演的重要标定参数.为克服大量老井缺少横波速度资料和现有横波速度估算方法的不足,基于孔隙介质岩石物理理论,通过常规测井资料求取多矿物组分,利用VRH模型求得地层的等效弹性模量;最后利用纵波速度作为约束条件,根据Biot-Gassmann方程得到地层横波速度.计算结果与实测结果对比表明,平均相对误差限在5%左右,与Xu-White模型相比,该方法物理意义更为明确,使用更简便,计算精度提高一倍左右.
The shear wave velocity of well log is an important parameter for mutual inversion,but lots of wells are short of this value.As present estimation method can't calculate the shear velocity precisely,based on rock physics,using VRH model this paper firstly calculates the equivalent elastic modulus via multi-mineral analysis from routine well logs,and then by taking compressional velocity as a constraint,calculates the shear wave velocity based on Biot-Gassmann equations.The method has clearer physics meaning,and practice results show that this method is much more convenient,economic and precise than Xu-White methods,and the error between computational value and measured value is less than 5 percent.
The shear wave velocity of well log is an important parameter for mutual inversion,but lots of wells are short of this value.As present estimation method can't calculate the shear velocity precisely,based on rock physics,using VRH model this paper firstly calculates the equivalent elastic modulus via multi-mineral analysis from routine well logs,and then by taking compressional velocity as a constraint,calculates the shear wave velocity based on Biot-Gassmann equations.The method has clearer physics meaning,and practice results show that this method is much more convenient,economic and precise than Xu-White methods,and the error between computational value and measured value is less than 5 percent.
引文
Berryman,J.G.,1980a.Long-wavelength propagation incomposite elastic media.J.Acoust.Soc.Am.,68(6):1809-1831.
Berryman,J.G.,1980b.Confirmation of Biot’s theory.Ap-pl.Phys Lett.,37(4):382-384.
Biot,M.A.,1956a.Theory of propagation of elastic waves ina fluid-saturated porous solid,Ⅰ:Low-frequency range.Acoust.Soc.Amer.,28:168-178.
Biot,M.A.,1956b.Theory of propagation of elastic waves ina fluid-saturated porous solid,Ⅱ:High-frequencyrange.Acoust.Soc.Amer.,28:179-191.
Biot,M.A.,1962.Mechanics of deformation and acousticpropagation in porous media.J.Appl.Phys.,33(4):1482-1498.
Castagna,J.P.,Batzle,M.L.,Eastwood,R.L.,et al.,1985.Relationship between compressional-wave and shear-wave velocities in clastic silicate rock.Geophysics,50,571-581.
Castagna,J.P.,Batzle,M.L.,Kan,T.K.,et al.,1993.Rockphysics:The link between rock properties and AVOre-sponse.In:Castagna,J.P.,Backus,M.M.,eds.,Offsetdependent reflectivity-theory and practice of AVOanal-ysis.SEG Investigations in Geophysics Series,8:135-171.
Chen,Y.,Huang,T.F.,2001.Rock physics.Peking Univer-sity Press,Beijing(in Chinese).
Chu,Z.H.,1987.Theory of acoustic logging.Petroleum Industry Press,Beijing(in Chinese).
Dvorkin,J.,Mavko,G.,Nur,A.,et al.,1995.Squirt flowinfully saturated rocks.Geophysics,60(1):97-107.
Faust,L.Y.,1953.A velocity function including lithologicvariation.Geophysics,18(2):271-288.
Gardner,G.H.F.,Gardner,L.W.,Gregory,A.R.,et al.,1974.Formation velocity and density:The diagnosticbasics for stratigraphic traps.Geophysics,39(6):770-780.
Gassmann,F.,1951.ber die elastizitat por ser Medien.Vi-erteljahrsschrift der Naturforschenden Gesellschaft inZürich,96:1-23.
Hill,R.,1952.The elastic behavior of crystalling aggregate.Proc.Physical Soc.,A65:349-354.
Krief,M.,Garat,J.,Stellingwerff,J.,et al.,1990.A petro-physical interpretation using the velocities of P and Swaves(full-wave formsonic).The Log Analyst,31(6):355-369.
Kuster,G.T.,Toks z,M.N.,1974.Velocity and attenuationof seismic waves in two-phase media,partⅠ:Theoreti-cal formulations.Geophysics,39(5):587-606.
Mavko,G.,Mukerji,T.,Dvorkin,J.,et al.,2003.The rockphysics handbook.Cambridge University Press,Cam-bridge.
Milholland,P.,Manghnani,M.H.,Schlanger,S.O.,et al.,1980.Geoacoustic modeling of deep-sea carbonate sedi-ments.J.Acoust.Soc.Am.,68(5):1351-1360.
Pickett,G.R.,1963.Acoustic character logs and their appli-cations information evaluation.J.Petrol.Tech.,15(6):659-667.
Reuss,A.,1929.Berechnung der Fliegrenze Von Misch Kristallen.Angew.Mathem.U.Mech.,9(1):49-58.
Voight,W.,1910.Lehrbuch der Kristallphysik,Teunber-Verlag,Leipzig.
Wang,Y.M.,Miao,Y.K.,Meng,X.J.,et al.,2006.Calcu-lation procedure of shear velocity curve on petrophys-ics.Petroleum Geology and Recovery Efficiency,13(4):58-61(in Chinese).
Winkler,K.W.,1983.Frequency dependent ultrasonic prop-erties of high porosity sandstone.Journal of Geophysi-cal Research,88(B11):9493-9499.
Xie,J.Z.,Chu,Z.H.,Li,Y.H.,et al.,2003.On the methodto determine residual oil saturation from acoustic com-pression coefficient.Well Logging Technology,27(3):181-184(in Chinese with English abstract).
Xu,S.,White,R.E.,1995.A new velocity model for clay-sand mixtures.Geophys.Prospecting,43(1):91-118.
Yong,S.H.,Zhang,C.M.,1996.Digital processing and in-terpretation of well-logging.China University of Petro-leum Press,Dongying,313-316(in Chinese).
陈颙,黄庭芳,2001.岩石物理学.北京:北京大学出版社.
楚泽涵,1987.声波测井原理.北京:石油工业出版社.
王玉梅,苗永康,孟宪军,等,2006.岩石物理横波速度曲线计算技术.油气地质与采收率,13(4):58-61.
谢进庄,楚泽涵,李艳华,等,2003.用声波弹性参数确定剩余油饱和度的方法探讨.测井技术,27(3):181-184.
雍世和,张超谟,1996.测井数据处理与综合解释.东营:中国石油大学出版社,313-316.
Berryman,J.G.,1980b.Confirmation of Biot’s theory.Ap-pl.Phys Lett.,37(4):382-384.
Biot,M.A.,1956a.Theory of propagation of elastic waves ina fluid-saturated porous solid,Ⅰ:Low-frequency range.Acoust.Soc.Amer.,28:168-178.
Biot,M.A.,1956b.Theory of propagation of elastic waves ina fluid-saturated porous solid,Ⅱ:High-frequencyrange.Acoust.Soc.Amer.,28:179-191.
Biot,M.A.,1962.Mechanics of deformation and acousticpropagation in porous media.J.Appl.Phys.,33(4):1482-1498.
Castagna,J.P.,Batzle,M.L.,Eastwood,R.L.,et al.,1985.Relationship between compressional-wave and shear-wave velocities in clastic silicate rock.Geophysics,50,571-581.
Castagna,J.P.,Batzle,M.L.,Kan,T.K.,et al.,1993.Rockphysics:The link between rock properties and AVOre-sponse.In:Castagna,J.P.,Backus,M.M.,eds.,Offsetdependent reflectivity-theory and practice of AVOanal-ysis.SEG Investigations in Geophysics Series,8:135-171.
Chen,Y.,Huang,T.F.,2001.Rock physics.Peking Univer-sity Press,Beijing(in Chinese).
Chu,Z.H.,1987.Theory of acoustic logging.Petroleum Industry Press,Beijing(in Chinese).
Dvorkin,J.,Mavko,G.,Nur,A.,et al.,1995.Squirt flowinfully saturated rocks.Geophysics,60(1):97-107.
Faust,L.Y.,1953.A velocity function including lithologicvariation.Geophysics,18(2):271-288.
Gardner,G.H.F.,Gardner,L.W.,Gregory,A.R.,et al.,1974.Formation velocity and density:The diagnosticbasics for stratigraphic traps.Geophysics,39(6):770-780.
Gassmann,F.,1951.ber die elastizitat por ser Medien.Vi-erteljahrsschrift der Naturforschenden Gesellschaft inZürich,96:1-23.
Hill,R.,1952.The elastic behavior of crystalling aggregate.Proc.Physical Soc.,A65:349-354.
Krief,M.,Garat,J.,Stellingwerff,J.,et al.,1990.A petro-physical interpretation using the velocities of P and Swaves(full-wave formsonic).The Log Analyst,31(6):355-369.
Kuster,G.T.,Toks z,M.N.,1974.Velocity and attenuationof seismic waves in two-phase media,partⅠ:Theoreti-cal formulations.Geophysics,39(5):587-606.
Mavko,G.,Mukerji,T.,Dvorkin,J.,et al.,2003.The rockphysics handbook.Cambridge University Press,Cam-bridge.
Milholland,P.,Manghnani,M.H.,Schlanger,S.O.,et al.,1980.Geoacoustic modeling of deep-sea carbonate sedi-ments.J.Acoust.Soc.Am.,68(5):1351-1360.
Pickett,G.R.,1963.Acoustic character logs and their appli-cations information evaluation.J.Petrol.Tech.,15(6):659-667.
Reuss,A.,1929.Berechnung der Fliegrenze Von Misch Kristallen.Angew.Mathem.U.Mech.,9(1):49-58.
Voight,W.,1910.Lehrbuch der Kristallphysik,Teunber-Verlag,Leipzig.
Wang,Y.M.,Miao,Y.K.,Meng,X.J.,et al.,2006.Calcu-lation procedure of shear velocity curve on petrophys-ics.Petroleum Geology and Recovery Efficiency,13(4):58-61(in Chinese).
Winkler,K.W.,1983.Frequency dependent ultrasonic prop-erties of high porosity sandstone.Journal of Geophysi-cal Research,88(B11):9493-9499.
Xie,J.Z.,Chu,Z.H.,Li,Y.H.,et al.,2003.On the methodto determine residual oil saturation from acoustic com-pression coefficient.Well Logging Technology,27(3):181-184(in Chinese with English abstract).
Xu,S.,White,R.E.,1995.A new velocity model for clay-sand mixtures.Geophys.Prospecting,43(1):91-118.
Yong,S.H.,Zhang,C.M.,1996.Digital processing and in-terpretation of well-logging.China University of Petro-leum Press,Dongying,313-316(in Chinese).
陈颙,黄庭芳,2001.岩石物理学.北京:北京大学出版社.
楚泽涵,1987.声波测井原理.北京:石油工业出版社.
王玉梅,苗永康,孟宪军,等,2006.岩石物理横波速度曲线计算技术.油气地质与采收率,13(4):58-61.
谢进庄,楚泽涵,李艳华,等,2003.用声波弹性参数确定剩余油饱和度的方法探讨.测井技术,27(3):181-184.
雍世和,张超谟,1996.测井数据处理与综合解释.东营:中国石油大学出版社,313-316.
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