横波速度预测的边界加权平均法(英文)
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摘要
横波速度是进行叠前地震反演和叠前地震属性分析的必要资料,但目前绝大多数钻井缺少横波测井资料,本文提出了一种简单但又涵盖了影响岩石地震波传播速度基本要素的横波速度预测方法,即通过对模量的Voigt上边界和Reuss下边界的加权平均来求取等效弹性模量,进而计算出横波速度,加权系数w本质上反映了组成岩石骨架的矿物颗粒与孔隙的几何性质,由纵波模量拟合得到。通过对四川盆地东北部Y井碳酸盐岩实际测井数据的处理,证明边界加权平均法能准确有效地预测出碳酸盐岩横波速度。
The shear-wave velocity is a very important parameter in oil and gas seismic exploration,and vital in prestack elastic-parameters inversion and seismic attribute analysis. However,shearing-velocity logging is seldom carried out because it is expensive.This paper presents a simple method for predicting S-wave velocity which covers the basic factors that influence seismic wave propagation velocity in rocks.The elastic modulus of a rock is expressed here as a weighted arithmetic average between Voigt and Reuss bounds,where the weighting factor,w,is a measurement of the geometric details of the pore space and mineral grains.The S-wave velocity can be estimated from w,which is derived from the P-wave modulus.The method is applied to process well-logging data for a carbonate reservoir in Sichuan Basin,and shows the predicted S-wave velocities agree well with the measured S-wave velocities.
The shear-wave velocity is a very important parameter in oil and gas seismic exploration,and vital in prestack elastic-parameters inversion and seismic attribute analysis. However,shearing-velocity logging is seldom carried out because it is expensive.This paper presents a simple method for predicting S-wave velocity which covers the basic factors that influence seismic wave propagation velocity in rocks.The elastic modulus of a rock is expressed here as a weighted arithmetic average between Voigt and Reuss bounds,where the weighting factor,w,is a measurement of the geometric details of the pore space and mineral grains.The S-wave velocity can be estimated from w,which is derived from the P-wave modulus.The method is applied to process well-logging data for a carbonate reservoir in Sichuan Basin,and shows the predicted S-wave velocities agree well with the measured S-wave velocities.
引文
Berryman,J.G.,1980b,Long-wavelength propagation in fluid-saturated propous media:J.Acoust.Soc.Am.,68, 1809-1831.
Budiansky,B.,1965,On the elastic moduli of some heterogeneous materials,J.mech.Phys.Solids,13,223- 227.
Castagna,J.P.,Batzle,M.L.,and Eastwood,R.L.,1985, Relatonships between compressional-wave and shear-wave velocities in clasticsilicaterock:Geophysics,50(4), 571-581.
Gardner,G.H.F.,and Gardner,L.W.,1974,Formation velocity and density-The diagnostic basics for stratigraphic traps:Geophysics,39,770-780.
Hill,R.,1952,The elastic behavior of crystalline aggregate: Proc.Physical Soc.,London A,65(A),349-354.
Hill,R.,1965,A self-consistent mechanics of composite materials:Mech,J.,Phys.Solids,11,357-372.
Krief,M.,Garat,J.,Stellingwerff,J.,and Ventre,J.,1990, A petrophysical interpretation using the velocities of P and S waves(full-waveform sonic):The Log Analyst, 31,355-369.
Kuster,G.T.,and Toksoz,M.N.,1974,Velocity and attenuation of seismic waves in two-phase media: Geophysics,39,587-618.
Lee,M.W.,2006,A simple method of predicting S-wave velocity:Geophysics,71(6),161 - 164.
Marion,D.,and Nur,A.,1991,Pore-filling material and its effect on velocity in rocks:Geophysics,56(2),225 - 230
Mavko,G.,Mukerji,T.,and Dvorkin,J.,1998,The rock physics handbook:Tools for seismic analysis in porous media:Cambridge University Press,England.
Norris,A.N.,1985,A differential scheme for the effective moduli of composites:Mech.,Mater.,4,1-16.
Pickett,G.R.,1963,Acoustic character logs and their applications in formation evaluation:Pet.Technol,15, 650 - 667.
Wu,T T,1966,The effect of inclusion shape on the elastic moduli of two-phase material:Int.J.Solids Structures,2, 1-8.
Xu,S.,and White,R.E.,1995,A new velocity model for clay-sand mixtures:Geophys Prospecting,43,91 - 118.
Yan,F.Y,and Han,D.H.,2011,Theoretical validation of fluid substitution by Hashin-Shtrikman bounds:81~(th) Ann. Internat.Mtg,Soc.Expl.Geophys.,Expanded Abstracts, 2251-2254.
Budiansky,B.,1965,On the elastic moduli of some heterogeneous materials,J.mech.Phys.Solids,13,223- 227.
Castagna,J.P.,Batzle,M.L.,and Eastwood,R.L.,1985, Relatonships between compressional-wave and shear-wave velocities in clasticsilicaterock:Geophysics,50(4), 571-581.
Gardner,G.H.F.,and Gardner,L.W.,1974,Formation velocity and density-The diagnostic basics for stratigraphic traps:Geophysics,39,770-780.
Hill,R.,1952,The elastic behavior of crystalline aggregate: Proc.Physical Soc.,London A,65(A),349-354.
Hill,R.,1965,A self-consistent mechanics of composite materials:Mech,J.,Phys.Solids,11,357-372.
Krief,M.,Garat,J.,Stellingwerff,J.,and Ventre,J.,1990, A petrophysical interpretation using the velocities of P and S waves(full-waveform sonic):The Log Analyst, 31,355-369.
Kuster,G.T.,and Toksoz,M.N.,1974,Velocity and attenuation of seismic waves in two-phase media: Geophysics,39,587-618.
Lee,M.W.,2006,A simple method of predicting S-wave velocity:Geophysics,71(6),161 - 164.
Marion,D.,and Nur,A.,1991,Pore-filling material and its effect on velocity in rocks:Geophysics,56(2),225 - 230
Mavko,G.,Mukerji,T.,and Dvorkin,J.,1998,The rock physics handbook:Tools for seismic analysis in porous media:Cambridge University Press,England.
Norris,A.N.,1985,A differential scheme for the effective moduli of composites:Mech.,Mater.,4,1-16.
Pickett,G.R.,1963,Acoustic character logs and their applications in formation evaluation:Pet.Technol,15, 650 - 667.
Wu,T T,1966,The effect of inclusion shape on the elastic moduli of two-phase material:Int.J.Solids Structures,2, 1-8.
Xu,S.,and White,R.E.,1995,A new velocity model for clay-sand mixtures:Geophys Prospecting,43,91 - 118.
Yan,F.Y,and Han,D.H.,2011,Theoretical validation of fluid substitution by Hashin-Shtrikman bounds:81~(th) Ann. Internat.Mtg,Soc.Expl.Geophys.,Expanded Abstracts, 2251-2254.
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