双相Biot模型的纵波相速度与衰减特性及其与BISQ模型的对比
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摘要
从各向同性介质中的Biot纵波方程出发,在平面简谐波假设条件下,推导出快慢纵波相速度与衰减逆品质因子的解析式,分析了渗透率、黏滞系数、孔隙度等参数在垂直传播方向对纵波相速度及逆品质因子的影响规律并与相同条件下BISQ模型所描述的相关规律进行了比较。比较结果表明:在常规地震勘探频率范围内,BISQ模型的快纵波的逆品质因子随着频率的增加而增加,并且对黏滞系数变化敏感;Biot模型的慢纵波相速度随着频率的增加而有显著增加;BISQ模型慢纵波速度随渗透率的增加而有明显增加;BISQ和Bi-ot模型慢纵波速度随着孔隙度增加而下降。
Under the assumption of plane harmonic wave,the fast and slow P-waves' analytic expressions of phase velocity and attenuation are deduced from the Biot P-waves equation in isotropic medium,analyzing the influential law of permeability,viscosity,porosity and other parameters in the vertical direction of wave propagation on phase velocity and inverse quality factor,and compar with BISQ model under the same conditions.The results show that in the routine frequency scale of seismic exploration,inverse quality factor of the fast P-wave increases with frequency's increasing and is sensitive to the changes of viscosity while in Biot model the phase velocity of slow P-wave increases significantly along with the increase of frequency;slow P-wave velocity in BISQ model increases significantly as the permeability increases;slow P-wave velocity of BISQ and Biot model decrease with increasing porosity.
Under the assumption of plane harmonic wave,the fast and slow P-waves' analytic expressions of phase velocity and attenuation are deduced from the Biot P-waves equation in isotropic medium,analyzing the influential law of permeability,viscosity,porosity and other parameters in the vertical direction of wave propagation on phase velocity and inverse quality factor,and compar with BISQ model under the same conditions.The results show that in the routine frequency scale of seismic exploration,inverse quality factor of the fast P-wave increases with frequency's increasing and is sensitive to the changes of viscosity while in Biot model the phase velocity of slow P-wave increases significantly along with the increase of frequency;slow P-wave velocity in BISQ model increases significantly as the permeability increases;slow P-wave velocity of BISQ and Biot model decrease with increasing porosity.
引文
[1]Gassmann F.Elastic waves through a packing ofspheres[J].Geophysics,1951,16(4):673～685.
[2]Biot M A.Theory of porpagation of elastic waves ina fluid-saturated porous solid:ⅠLow-frequencyrange;ⅡHigher frequency range[J].Acoust Soc A-mer,1956(28):168～191.
[3]Dvorkin J,Nur A.Dynamic poroelasticty:A unifiedmodel with the squirt and the Biot mechanisms[J].Geophysics,1993,58(4):524～533.
[4]Dutta N C,Ode H.Attenuation and dispersion ofcompressional waves in fluid-filled porous rockswith partial gas saturation(white model)partⅡ:Biottheory[J].Geophysics,1979,44(11):1777～1788.
[5]牟永光.储层地球物理学[M].北京:石油工业出版社,1996.
[6]杨顶辉,陈小宏.含流体多孔介质的BISQ模型[J].石油地球物理勘探,2001,36(2):146～159.
[7]邓继新,王尚旭.储层砂岩纵波衰减的实验结果分析[J].石油物探,2008,47(4):346～351.
[8]巴晶.复杂多孔介质介质中的地震波传播机理研究[D].北京:清华大学,2008.
[9]孟庆生,何樵登,朱建伟,等.基于BISQ模型双相各向同性介质中地震波数值模拟[J].吉林大学学报,2003,33(2):217～221.
[10]李红星,陶春辉,周建平,等.双相各向异性介质中波场速度与衰减特征分析[J].石油地球物理勘探,2009,44(4):457～465.
[11]张会星,何兵寿,姜效典,等.利用地震波在双相介质中的衰减特性检测油气[J].石油地球物理勘探,2010,45(3):343～349.
[12]邹冠贵.孔隙介质地震波传播及衰减特征评价研究[D].北京:中国矿业大学,2010.
[2]Biot M A.Theory of porpagation of elastic waves ina fluid-saturated porous solid:ⅠLow-frequencyrange;ⅡHigher frequency range[J].Acoust Soc A-mer,1956(28):168～191.
[3]Dvorkin J,Nur A.Dynamic poroelasticty:A unifiedmodel with the squirt and the Biot mechanisms[J].Geophysics,1993,58(4):524～533.
[4]Dutta N C,Ode H.Attenuation and dispersion ofcompressional waves in fluid-filled porous rockswith partial gas saturation(white model)partⅡ:Biottheory[J].Geophysics,1979,44(11):1777～1788.
[5]牟永光.储层地球物理学[M].北京:石油工业出版社,1996.
[6]杨顶辉,陈小宏.含流体多孔介质的BISQ模型[J].石油地球物理勘探,2001,36(2):146～159.
[7]邓继新,王尚旭.储层砂岩纵波衰减的实验结果分析[J].石油物探,2008,47(4):346～351.
[8]巴晶.复杂多孔介质介质中的地震波传播机理研究[D].北京:清华大学,2008.
[9]孟庆生,何樵登,朱建伟,等.基于BISQ模型双相各向同性介质中地震波数值模拟[J].吉林大学学报,2003,33(2):217～221.
[10]李红星,陶春辉,周建平,等.双相各向异性介质中波场速度与衰减特征分析[J].石油地球物理勘探,2009,44(4):457～465.
[11]张会星,何兵寿,姜效典,等.利用地震波在双相介质中的衰减特性检测油气[J].石油地球物理勘探,2010,45(3):343～349.
[12]邹冠贵.孔隙介质地震波传播及衰减特征评价研究[D].北京:中国矿业大学,2010.
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