横向各向同性含气储层声波特性研究
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摘要
文中利用各向异性孔隙介质声学理论,对横向各向同性孔隙介质Biot模型进行了详细推导,得到了弹性参数的计算公式,并进一步进行了数值模拟和分析。在横向各向同性孔隙介质Biot模型的基础上,引入孔隙介质饱和度影响机制,对双相孔隙流体下岩石声学性质进行了计算分析,得到声波岩石物理、声波测井以及地震勘探不同频率下的声波规律及特性,并对比分析了其变化趋势和差别,分析了各种波的频散特性,为实际数据处理提供理论依据,也为声波速度的外推提供了一种新的思路。
As a kind of anisotropic media,transversely isotropic reservoir is widely distributed in sedimentary rocks.In this work,Biot model for transversely isotropic porous media is deduced systematically based on acoustic theory of anisotropic porous media.The calculation formula for elastic parameters is obtained,and simulations and analysis with practical parameters are carried out.An influence mechanism of porous media saturation is introduced from Biot model.Then calculations and analysis of rock acoustic properties are conducted in conditions of two-phase porous fluids,and acoustic properties under different frequencies of acoustic petrophysics,acoustic logging and seismic are gained.This provides theoretical basis for actual application of acoustic data and new idea for velocity extrapolation.
As a kind of anisotropic media,transversely isotropic reservoir is widely distributed in sedimentary rocks.In this work,Biot model for transversely isotropic porous media is deduced systematically based on acoustic theory of anisotropic porous media.The calculation formula for elastic parameters is obtained,and simulations and analysis with practical parameters are carried out.An influence mechanism of porous media saturation is introduced from Biot model.Then calculations and analysis of rock acoustic properties are conducted in conditions of two-phase porous fluids,and acoustic properties under different frequencies of acoustic petrophysics,acoustic logging and seismic are gained.This provides theoretical basis for actual application of acoustic data and new idea for velocity extrapolation.
引文
[1]Biot M A.Theory of propagation of elastic waves in afluid-saturated porous solidⅠ:Low-frequency range.J Acoust Soc Am,1956,28(2):168～178
[2]Biot M A.Theory of propagation of elastic waves in afluid-saturated porous solidⅡ:Higher-frequencyrange.J Acoust Soc Am,1956,28(2):179～191
[3]Biot M A.Mechanics of deformation sand acousticpropagation in porous media.J Appl Phys,1962,33(4):1482～1489
[4]乔文孝.多孔介质声学理论的研究与声波测井.地球物理测井,1989,13(6):18～19Qiao Wen-xiao.The research of porous media acous-tic theory and acoustic log.Geophysical well log-ging,1989,13(6):18～19
[5]Sharma M D,Gogna M L.Wave propagation in ani-sotropic liquid-saturated porous solids.J Acous SocAm,1991,90(2):1068～1073
[6]Schmitt D P.Acoustic multipole logging in trans-versely isotropic poroelastic formations.J Acoust SocAm,1989,86(6):2397～2421
[7]汪越胜,章梓茂.横观各向同性液体饱和多孔介质中平面波的传播.力学学报,1997,29(3):257～268Wang Yue-sheng,Zhang Zi-mao.Propagation ofplane waves in transversely isotropic fluid saturatedporous media.Chinese J of Theoretical and AppliedMechanics,1997,29(3):257～268
[8]Brie A,Pampuri F,Marsala A F et al.Shear sonicinterpretation in gas-bearing sands.Proceedings ofSPE Annual Technical Conference&Exhibition,1995:701～710
[9]席道瑛,张程远,刘小燕.储层砂岩的各向异性.石油地球物理勘探,2001,36(2):187～192Xi Dao-ying,Zhang Cheng-yuan and Liu Xiao-yan.Anisotropy in reservoir sandstone.OGP,2001,36(2):187～192
[10]李保忠,蔡袁强.饱和度对横向各向同性准饱和多孔介质中弹性波传播的影响.水利学报,2003,34(9):94～101Li Bao-zhong,Cai Yuan-qiang.Influence of watersaturation on elastic wave propagation in transverselyisotropic quasi-saturated porous media.JournalofHydraulicEngineering,2003,34(9):94～101
[11]章成广,江万哲,肖成文.声波全波资料识别气层方法研究.测井技术,2004,28(5):397～401Zhang Cheng-guang,Jiang Wan-zhe,Xiao Cheng-wen.On methods of gas-formation indication using a-coustic full waveform log data.Well Logging Tech-nology,2004,28(5):397～401
[12]刘兰锋,曹思远,李绪宣等.未固结含气砂岩储层低频地震响应特征研究.石油地球物理勘探,2010,45(6):873～878Liu Lan-feng,Cao Si-yuan,Li Xu-xuan et al.Studieson the characteristics of low frequency seismic re-sponse from unconsolidated gas bearing reservoir.OGP,2010,45(6):873～878
[13]张海澜,王秀明,张碧星.井孔中的声场和波.北京:科学出版社,2004
[14]Mohammed N K et al.Green's functions in an infinitetransversely isotropic saturated poroelastic medium.J Acoust Soc Am,1988,84(5):1883～1889
[15]Batzle M L et al.Fluid mobility and frequencydependent seismic velocity direct measurements.Geo-physics,2006,71(1):N1～N9
[2]Biot M A.Theory of propagation of elastic waves in afluid-saturated porous solidⅡ:Higher-frequencyrange.J Acoust Soc Am,1956,28(2):179～191
[3]Biot M A.Mechanics of deformation sand acousticpropagation in porous media.J Appl Phys,1962,33(4):1482～1489
[4]乔文孝.多孔介质声学理论的研究与声波测井.地球物理测井,1989,13(6):18～19Qiao Wen-xiao.The research of porous media acous-tic theory and acoustic log.Geophysical well log-ging,1989,13(6):18～19
[5]Sharma M D,Gogna M L.Wave propagation in ani-sotropic liquid-saturated porous solids.J Acous SocAm,1991,90(2):1068～1073
[6]Schmitt D P.Acoustic multipole logging in trans-versely isotropic poroelastic formations.J Acoust SocAm,1989,86(6):2397～2421
[7]汪越胜,章梓茂.横观各向同性液体饱和多孔介质中平面波的传播.力学学报,1997,29(3):257～268Wang Yue-sheng,Zhang Zi-mao.Propagation ofplane waves in transversely isotropic fluid saturatedporous media.Chinese J of Theoretical and AppliedMechanics,1997,29(3):257～268
[8]Brie A,Pampuri F,Marsala A F et al.Shear sonicinterpretation in gas-bearing sands.Proceedings ofSPE Annual Technical Conference&Exhibition,1995:701～710
[9]席道瑛,张程远,刘小燕.储层砂岩的各向异性.石油地球物理勘探,2001,36(2):187～192Xi Dao-ying,Zhang Cheng-yuan and Liu Xiao-yan.Anisotropy in reservoir sandstone.OGP,2001,36(2):187～192
[10]李保忠,蔡袁强.饱和度对横向各向同性准饱和多孔介质中弹性波传播的影响.水利学报,2003,34(9):94～101Li Bao-zhong,Cai Yuan-qiang.Influence of watersaturation on elastic wave propagation in transverselyisotropic quasi-saturated porous media.JournalofHydraulicEngineering,2003,34(9):94～101
[11]章成广,江万哲,肖成文.声波全波资料识别气层方法研究.测井技术,2004,28(5):397～401Zhang Cheng-guang,Jiang Wan-zhe,Xiao Cheng-wen.On methods of gas-formation indication using a-coustic full waveform log data.Well Logging Tech-nology,2004,28(5):397～401
[12]刘兰锋,曹思远,李绪宣等.未固结含气砂岩储层低频地震响应特征研究.石油地球物理勘探,2010,45(6):873～878Liu Lan-feng,Cao Si-yuan,Li Xu-xuan et al.Studieson the characteristics of low frequency seismic re-sponse from unconsolidated gas bearing reservoir.OGP,2010,45(6):873～878
[13]张海澜,王秀明,张碧星.井孔中的声场和波.北京:科学出版社,2004
[14]Mohammed N K et al.Green's functions in an infinitetransversely isotropic saturated poroelastic medium.J Acoust Soc Am,1988,84(5):1883～1889
[15]Batzle M L et al.Fluid mobility and frequencydependent seismic velocity direct measurements.Geo-physics,2006,71(1):N1～N9
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