含混合裂隙、孔隙介质的纵波衰减规律研究
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摘要
地下多孔介质中的孔隙类型复杂多样,既有硬孔又有扁平的软孔.针对复杂孔隙介质,假设多孔介质中同时含有球型硬孔和两种不同产状的裂隙(硬币型、尖灭型裂隙),当孔隙介质承载载荷时,考虑两种不同类型的裂隙对于孔隙流体压力的影响,建立起Biot理论框架下饱和流体情况含混合裂隙、孔隙介质的弹性波动方程,并进一步求取了饱和流体情况下仅由裂隙引起流体流动时的含混合裂隙、孔隙介质的体积模量和剪切模量,随后,在此基础上讨论了含混合裂隙、孔隙介质在封闭条件下地震波衰减和频散的高低频极限表达式.最后计算了给定模型的地震波衰减和频散,发现地震波衰减曲线呈现"多峰"现象,速度曲线为"多频段"频散.针对该模型分析讨论了渗透率参数、裂隙纵横比参数以及流体黏滞性参数对于地震波衰减和频散的影响,表明三个参数均为频率控制参数.
Despite the intensive research on characteristics of the attenuation and dispersion of seismic waves in the porous medium,there is no explicit understanding for the physical mechanisms in such media containing different kinds of cracks.This work attempted to deduce seismic wave equations for the porous medium containing two kinds of cracks including the coinshaped and pinchout-shaped cracks utilizing the analysis of the pressure of fluids in the cracks.When the stress is imposed on the porous medium containing two kinds of cracks,the fluid flux flowing out from the cracks can be calculated by the conservation equation of mass and the Stokes equation.The seismic equations for this medium can be derived using the Biot equation and the fluid pressure influenced by the flow from the cracks.The high and low frequency limits of modulus can be figured out when the frequency approaches infinite great and zero.From the analysis of seismic wave attenuation and dispersion in the porous medium containing two kinds of cracks and the relationship with the parameters of crack and permeability,the following knowledge can be gained:(1) When the microscopic "squirt-flow"is only considered,there are two peaks of seismic wave attenuation,one for the coin-shaped crack and the other for pinchout-shaped cracks.The velocity of the high frequency limit is approaching theGassmann value.(2)The seismic wave attenuation has three peaks,of which two are accounted for different cracks and the other is for the Biot flow in the context of Biot theory.The different seismic wave attenuations and dispersions can be achieved in the porous medium containing different kinds of cracks.The dispersion velocity of slow P-waves is little influenced by the"squirt-flow"of different kinds of cracks.(3)With the increase of permeability,the frequency of peak of attenuation of seismic waves caused by macroscopic " Biot flow" turns into the lower frequency band, while the amplitude of attenuation is constant. The frequency peak of attenuation of seismic waves is moving to the high frequency band with the crack aspect ratio getting greater.The attenuation of seismic waves caused by Biot theory is not impacted.Increasing fluid viscosity,the frequency peak of attenuation induced by microscopic"squirt flow"is shifting into the lower frequency band,contrary to that is caused by macroscopic"Biot flow".When it involves different causes such as,the porous shapes and the heterogeneous scales,the attenuation characteristics(the frequency peak and amplitude)vary correspondingly.The attenuation of seismic waves can exhibit the multi-peaks when two or more causes are accounted.The different parameters of the porous medium containing mixed cracks can influence the attenuation by many kinds of ways.The parameters like the permeability and crack aspect ratio and fluid viscosity can all control the frequency band where the effect occurs.
引文
Ba J.2010.Wave propagation theory in double-porosity medium andexperimental analysis on seismic responses.Scientia Sinica:Physica,Mechanica&Astronomica,40(11):1398-1409.
    Ba J,Carcione J M,Nie J X.2011.Biot-Rayleigh theory of wavepropagation in double-porosity media.Journal of GeophysicalResearch:Solid Earth,116(B6):B06202.
    Ba J,Carcione J M,Cao H,et al.2012.Velocity dispersion andattenuation of P wave in partially-saturated rocks:Wavepropagation equation in double-porosity medium.Chinese J.Geophys.(in Chinese),55(1):219-231,doi:10.6038/j.issn.0001-5733.2012.01.021.
    Berryman J G.1981.Elastic wave propagation in fluid-saturatedporous media.The Journal of the Acoustical Society ofAmerica,69(2):416-424.
    Biot M A.1941.General theory of three-dimensional consolidation.Journal of Applied Physics,12(2):155-164.
    Biot M A.1956a.Theory of propagation of elastic waves in a fluidsaturated porous solid.Ⅰ.Low-frequency range.The Journalof the Acoustical Society of America,28(2):168-178.
    Biot M A.1956b.Theory of propagation of elastic waves in a fluidsaturated porous solid.Ⅱ.Higher-frequency range.TheJournal of the Acoustical Society of America,28(2):179-191.
    Biot M A.1962.Mechanics of deformation and acoustic propagationin porous media.Journal of Applied Physics,33(4):1482-1498.
    Brutsaert W.1964.The propagation of elastic waves in unconsolidatedunsaturated granular mediums.Journalo f Geophysical Research,69(2):243-257.
    Carcione J M,Gurevich B,Cavallini F.2000.A generalized BiotGassmann model for the acoustic properties of shaleysandstones.Geophysical Prospecting,48(3):539-557.
    Dvorkin J,Nur A.1993.Dynamic poroelasticity:A unified modelwith the squirt and the Biot mechanisms.Geophysics,58(4):524-533.
    Dvorkin J,Mavko G,Nur A.1995.Squirt flow in fully saturatedrocks.Geophysics,60(1):97-107.
    Garg S K,Nayfeh A H.1986.Compressional wave propagation inliquid and/or gas saturated elastic porous media.Journal ofApplied Physics,60(9):3045-3055.
    Gassmann F.1951.ber die Elastizitt porser Medien.Viertel.Naturforsch.Ges.Zürich.,96:1-23.
    Ghasemzadeh H,Abounouri A A.2013.Compressional and shearwave intrinsic attenuation and velocity in partially saturatedsoils.Soil Dynamics and Earthquake Engineering,51:1-8.
    Leclaire P,Cohen-Tenoudji F,Aguirre-Puente J.1994.Extensionof Biot′s theory of wave propagation to frozen porous media.The Journal of the Acoustical Society of America,96(6):3753-3768.
    Liu C,Lan H T,Guo Z Q,et al.2013.Pseudo-spectral modelingand feature analysis of wave propagation in two-phase HTImedium based on reformulated BISQ mechanism.Chinese J.Geophys.(in Chinese),56(10):3461-3473,doi:10.6038/cjg20131021.
    Mavko G,Jizba D.1991.Estimating grain-scale fluid effects onvelocity dispersion in rocks.Geophysics,56(12):1940-1949.
    Mavko G M,Nur A.1975.Melt squirt in the asthenosphere.J.Geophys.Res.,80(11):1444-1448.
    Mavko G M,Nur A.1979.Wave attenuation in partially saturatedrocks.Geophysics,44(2):161-178.
    Murphy W F,Winkler K W,Kleinberg R L.1986.Acousticrelaxation in sedimentary rocks:Dependence on grain contactsand fluid saturation.Geophysics,51(3):757-766.
    Müller T M,Gurevich B,Lebedev M.2010.Seismic waveattenuation and dispersion resulting from wave-induced flow inporous rocks—A review.Geophysics,75(5):147-164.
    Nie J X.2002.Inversion of researcher parameters based on theBISQ model in partially saturated porous media.Chinese J.Geophys.(in Chinese),47(6):1101-1105.
    Pride S R,Berryman J G.2003.Linear dynamics of double-porositydual-permeability materials.Ⅰ.Governing equations and acousticattenuation.Physical Review E,68(3):036603.
    Santos J E,Douglas J Jr,CorberóJ,et al.1990.A model for wavepropagation in a porous medium saturated by a two-phase.TheJournal of the Acoustical Society of America,87(4):1439-1448.
    Santos J E,Ravazzoli C L,Carcione J M.2004.A model for wavepropagation in a composite solid matrix saturated by a singlephase fluid.The Journal of the Acoustical Society of America,115(6):2749-2760.
    Shen Y Q,Yang D H.2004.The green function of two-phase mediaBISQ model.Chinese J.Geophys.(in Chinese),47(1):101-105.
    Tang X M.2011.A unified theory for elastic wave propagationthrough porous media containing cracks———An extension ofBiot′s poroelastic wave theory.Sci.China:Earth Sci.(inChinese),41(6):784-795.
    Tang X M,Chen X L,Xu X K.2012.A cracked porous mediumelastic wave theory and its application to interpreting acousticdata from tight formations.Geophysics,77(6):D245-D252.
    Thomsen L.1985.Biot-consistent elastic moduli of porous rocks:low-frequency limit.Geophysics,50(12):2797-2807.
    Tuncay K,Corapcioglu M Y.1997.Wave propagation in poroelasticmedia saturated by two fluids.Journal of Applied Mechanics,64(2):313-320.
    Wang Z J,Nur A.1990.Dispersion analysis of acoustic velocities inrocks.The Journal of the Acoustical Society of America,87(6):2384-2395.
    Wu G C,Wu J L,Zong Z Y.2014.The attenuation of P wave in aperiodic layered porous media containing cracks.Chinese J.Geophys.(in Chinese),57(8):2666-2677,doi:10.6038/cjg20140825.
    Yang K D,Yang D H,Wang S Q.2002.Wave-field simulationbased on the Biot-Squirt equation.Chinese J.Geophys.(inChinese),45(6):853-861.
    Zhang X W,Wang D L,Wang Z J,et al.2010.The study onazimuth characteristics of attenuation and dispersion in 3Dtwophase orthotropic crack medium based on BISQ mechanism.Chinese J.Geophys.(in Chinese),53(10):2452-2459,doi:10.3969/j.issn.0001-5733.2010.10.019.
    巴晶.2010.双重孔隙介质波传播理论与地震响应实验分析.中国科学:物理学力学天文学,40(11):1398-1409.
    巴晶,Carcione J M,曹宏等.2012.非饱和岩石中的纵波频散与衰减:双重孔隙介质波传播方程.地球物理学报,55(1):219-231,doi:10.6038/j.issn.0001-5733.2012.01.021.
    刘财,兰慧田,郭智奇等.2013.基于改进BISQ机制的双相HTI介质波传播伪谱法模拟与特征分析.地球物理学报,56(10):3461-3473,doi:10.6038/cjg20131021.
    聂建新.2004.基于非饱和多孔隙介质BISQ模型的储层参数反演.地球物理学报,47(6):1101-1105.
    申义庆,杨顶辉.2004.基于BISQ模型的双相介质位移场Green函数.地球物理学报,47(1):101-105.
    唐晓明.2011.含孔隙、裂隙介质弹性波动的统一理论———Biot理论的推广.中国科学:地球科学,41(6):784-795.
    吴国忱,吴建鲁,宗兆云.2014.周期性层状含孔隙、裂隙介质模型纵波衰减特征.地球物理学报,57(8):2666-2677,doi:10.6038/cjg20140825.
    杨宽德,杨顶辉,王书强.2002.基于Biot-Squirt方程的波场模拟.地球物理学报,45(6):853-861.
    张显文,王德利,王者江等.2010.基于BISQ机制三维双相正交裂隙各向异性介质衰减及频散方位特性研究.地球物理学报,53(10):2452-2459,doi:10.3969/j.issn.0001-5733.2010.10.019.

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