饱水白云岩临界点、骨架和流体弹性参数的数值计算
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摘要
基于临界孔隙度模型,提出了用岩石的整体弹性信息反演求取临界点、流体和骨架等局部弹性参数的数值计算方法和双向线性回归计算公式;结合饱水白云岩的样品测试数据,以孔隙度为自变量和因变量,对密度和密度与纵、横波速度平方的乘积分别进行了数值计算。以测试样品的整体信息求得其临界点、流体和骨架弹性参数值,并与实测数据做了相关性分析,其相关系数高达90%,充分表明数值计算公式的正确性和实现方法的有效性。岩石骨架、流体弹性参数的数值反演计算在油气勘探领域中具有巨大潜力,运用测井曲线和地震数据,可以反演求出岩石孔隙中流体弹性参数(密度、速度),对直接指示油层、气层起到重要作用。
The critical porosity and relative elastic parameters of the porous media are usually studied by methods of experimental measurements and data analysis,however it is difficult and complicated to calculate elastic parameters by these methods.So in this paper,a numerical calculation approach and some equations of bidirectional linear regression are provided for calculating these elastic parameters.The derived bidirectional linear equations in this paper show that ρ,ρV2S sand ρV2P are functions of ,at the same time is a function of ρ,ρV2S and ρV2P.Based on these equations,in accordance with density,compressional and shear velocities of entirety,twelve partial elastic parameters of framework,pore fluid and critical point can be obtained.Correlation coefficients of simulated data and measured data are over 90%,which proves the feasibility of the equations and the availability of this method.In the field of oil and gas exploration,the method can be directly used to calculate elastic parameters of pore fluid,and plays a crucial role in predicating oil and gas reservoirs.
The critical porosity and relative elastic parameters of the porous media are usually studied by methods of experimental measurements and data analysis,however it is difficult and complicated to calculate elastic parameters by these methods.So in this paper,a numerical calculation approach and some equations of bidirectional linear regression are provided for calculating these elastic parameters.The derived bidirectional linear equations in this paper show that ρ,ρV2S sand ρV2P are functions of ,at the same time is a function of ρ,ρV2S and ρV2P.Based on these equations,in accordance with density,compressional and shear velocities of entirety,twelve partial elastic parameters of framework,pore fluid and critical point can be obtained.Correlation coefficients of simulated data and measured data are over 90%,which proves the feasibility of the equations and the availability of this method.In the field of oil and gas exploration,the method can be directly used to calculate elastic parameters of pore fluid,and plays a crucial role in predicating oil and gas reservoirs.
引文
[1]Biot MA.Theory of elasticity and consolidation for a porous ani-sotropic solid[J].Applied Physics,1955,26:182-185.
[2]Biot MA.Theory of propagation of elastic waves in a fluid-saturat-ed porous solid:Ⅰ.low-frequency range andⅡ.Higher-frequencyrange[J].Acoustical Society of America,1956,28:168-191.
[3]Biot M A.Mechanics of deformation acoustic propagation in por-ous media[J].Applied Physics,1962,33:1482-1498.
[4]Biot M A.Generalized theory of acoustic propagation in porousdissipative media[J].Acoustical Society of America,1962,34:1254-1264.
[5]Mavko G,Mukerji T,Dvorkin J.The rock physics handbook[M].NewYork:Cambridge University Press,1998:221-224.
[6]Mavko G,Mukerji T,Dvorkin J.The rock physics handbook[M].2nd Edition.New York:Cambridge University Press,2009:446-448.
[7]Yin H,Nur A,Mavko G.Critical porosity-A physical boundaryin poroelasticity[J].Rock Mechanics and Mining Sciences&Geomechanics,1993,30:805-808.
[8]Nur A,Mavko G,Dvorkin J,and Galmudi D.Critical porosity:A key to relating physical properties to porosity in rocks[J].TheLeading Edge,1998,17:357-362.
[9]Chen Q,Nur A.Critical concentration models for porous materi-als[M]//Yavuz Corapcioglu M.Advances in Porous Media.New York:Elsevier,1994:169-308.
[10]Niu B H,Sun C Y,Yan G Y,et al.Linear numerical calcula-tion method for obtaining critical point,pore fluid,and frameworkparameters of gas-bearing media[J].Applied Geophysics,2009,6:319-326.
[11]牛滨华,孙晟,孙春岩,等.Biot介质密度参数的容差密度表达[J].现代地质,2007,21(3):551-555.
[12]Berge P A,Bonner B P,Berryman J G.Ultrasonic velocity-po-rosity relationships for sandstone analogs made from fused glassbeads[J].Geophysics,1995,60:108-119.
[2]Biot MA.Theory of propagation of elastic waves in a fluid-saturat-ed porous solid:Ⅰ.low-frequency range andⅡ.Higher-frequencyrange[J].Acoustical Society of America,1956,28:168-191.
[3]Biot M A.Mechanics of deformation acoustic propagation in por-ous media[J].Applied Physics,1962,33:1482-1498.
[4]Biot M A.Generalized theory of acoustic propagation in porousdissipative media[J].Acoustical Society of America,1962,34:1254-1264.
[5]Mavko G,Mukerji T,Dvorkin J.The rock physics handbook[M].NewYork:Cambridge University Press,1998:221-224.
[6]Mavko G,Mukerji T,Dvorkin J.The rock physics handbook[M].2nd Edition.New York:Cambridge University Press,2009:446-448.
[7]Yin H,Nur A,Mavko G.Critical porosity-A physical boundaryin poroelasticity[J].Rock Mechanics and Mining Sciences&Geomechanics,1993,30:805-808.
[8]Nur A,Mavko G,Dvorkin J,and Galmudi D.Critical porosity:A key to relating physical properties to porosity in rocks[J].TheLeading Edge,1998,17:357-362.
[9]Chen Q,Nur A.Critical concentration models for porous materi-als[M]//Yavuz Corapcioglu M.Advances in Porous Media.New York:Elsevier,1994:169-308.
[10]Niu B H,Sun C Y,Yan G Y,et al.Linear numerical calcula-tion method for obtaining critical point,pore fluid,and frameworkparameters of gas-bearing media[J].Applied Geophysics,2009,6:319-326.
[11]牛滨华,孙晟,孙春岩,等.Biot介质密度参数的容差密度表达[J].现代地质,2007,21(3):551-555.
[12]Berge P A,Bonner B P,Berryman J G.Ultrasonic velocity-po-rosity relationships for sandstone analogs made from fused glassbeads[J].Geophysics,1995,60:108-119.
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