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通过融合Gassmann方程和由微分等效介质理论建立的干岩石骨架模型--DEM解析模型,本文提出根据纵波(和横波)速度反演岩石等效孔隙纵横比进行储层孔隙结构评价和横波速度预测的方法.首先,利用Gassmann方程和DEM解析模型建立岩石的纵、横波速度与密度、孔隙度、饱和度和矿物组分等各参数之间的关系;其次,将岩石孔隙等效为具有单一纵横比的理想椭球孔,应用非线性全局寻优算法来寻找最佳的等效孔隙纵横比使得理论预测与实际测量的弹性模量之间的误差最小;最后,将反演得到的等效孔隙纵横比代入到Gassmann方程和DEM解析模型中构建横波速度.实验室和井孔测量数据应用表明,反演得到的等效孔隙纵横比可准确反映储层的孔隙结构,对于裂缝型储层如花岗岩,其孔隙纵横比通常小于0.025,而对于孔隙型储层如砂岩,其孔隙纵横比通常大于0.08.只利用纵波与同时利用纵、横波反演得到的孔隙纵横比结果几乎完全一致,而且由纵波构建的横波与实测横波吻合良好,说明本文提出的等效孔隙纵横比反演及其横波速度预测方法是有效的. 相似文献
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利用井孔首波求取Vs和Qp值的广义线性反演方法的应用研究 总被引：2，自引：2，他引：2
针对声全波幅度信息的利用还非常有限的实际情况，本文以更加接近实际的柱状声源在各向同性准弹性介质包围的轴对称井孔中激发的波场理论为基础，建立了利用首波幅度来以地层横波速度Ｖｓ和介质纵波品质因素Ｑｐ的广义线性反演模型，首先，通过数值计算是到该方法在长源距声全波测井的测量频率范围内，对地层介质泊松比σ约小于０．３６的情况下适用。 相似文献
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利用基于Biot理论的孔隙弹性介质的高阶交错网格有限差分算法，模拟了具有随机分布特征的多种流体饱和岩石中声波在中心频率分别为25，50，75，100kHz时的声场特点. 对于一个由两种成分（气和水）饱和的岩石模型, 假设含不同流体的孔隙介质随机分布在不同的宏观区域，该区域尺度远小于计算的声波波长；组成模型的两种随机分布介质具有相同的固体骨架参数、渗透率和孔隙度，但分别被具有不同压缩性、密度和黏滞系数特性的水和气饱和. 计算和统计分析结果表明，在两种孔隙成分随机分布的部分饱和条件下纵波速度比较复杂，除骨架参数外，其变化主要依赖于中心频率、各种孔隙成分饱和度及饱和介质的速度. 比较该随机分布模型、Gassmann理论模型和White的“气包”模型，发现三种模型得到的纵波速度和衰减规律有较好的定性对应关系. 其次，按照这种随机计算模型的处理方法，本文还首次计算了一个三种流体成分充填饱和的例子，即岩石模型中的孔隙被水、油和气部分饱和，计算时保持模型含水饱和度不变而只改变含油和含气饱和度. 在这种计算条件下，纵波速度随中心频率呈增大的趋势但有起伏变化. 声场快照显示了各种转换波在多种孔隙成分充填（两种和三种孔隙成分）岩石中的声场特征，复杂的水-油-气界面的非均匀分布对声场有重要影响，纵波能量主要转换形成了较为复杂的多种慢纵波和横波. 相似文献
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《地球物理学进展》2017,(3)
地震波是研究地球内部物质成分和结构最有效的工具之一.鉴于哈密地区油田对砂岩地震波性质研究的需求,本文在室内利用Autolab2000岩石物性测试设备,开展干燥、饱水及饱油条件下,砂岩X、Y、Z三个正交方向的弹性波速测试,得到不同压力下纵横波速随含水饱和度的变化规律,并在不同含水饱和度下分析了动态弹性常数(E和υ).结果表明:(1)波速与压力呈对数关系,相关系数在0.96以上;纵波速度与含水饱和度呈正相关,但随压力的增加,其增加速率会减小;横波速度在低压下基本不受含水饱和度影响,但随压力增加,其与含水饱和度呈负相关.(2)砂岩Z(垂直)方向波速最小;横波各向异性小于纵波;不同压力下,纵横波各向异性都是干燥大于饱油,并皆大于饱水状态.(3)恒定含水饱和度时,杨氏模量和泊松比皆随围压增加而增加,低压下(小于80 MPa,约3 km深度)增加速度快,而高压下(大于80 MPa)增速变缓;相同围压下,泊松比随含水饱和度增加而增加,而杨氏模量则有增有减. 相似文献
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岩石物理测量是油藏水驱开采时移地震监测的基础.在实验室对来自胜利油田的5块岩石样品模拟储层条件进行了水驱和气驱动态岩石物理弹性测量，重点分析了流体替换、温度、孔隙压力对岩石纵、横波速度的影响.实验表明，在水驱情形下，由于流体替换和温度、孔隙压力变化所引起的岩石纵横波速度的变化均很小，实施时移地震监测具有较大的风险性.相比之下，气驱可能引起较为明显的纵波速度变化，有利于时移地震监测的实施.进一步完善实验方法、丰富实验内容、是今后时移地震岩石物理实验研究的主要任务. 相似文献
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使用纵波震相及同台同源纵波和横波震相的走时资料及层析成像反演方法，分别给出了菲律宾海板块(PHP)和南海地区的纵波速度Vpf及同台同源的纵波和横波速度Vp和Vs结构. 结果表明，（1） PHP与欧亚板块(EUAP)的俯冲接触关系随地段而异，在琉球海沟，PHP向EUAP之下俯冲深达400 km；在台湾岛，EUAP先近陡直地俯冲到深度400 km，然后折向PHP之下达到660 km左右；在马尼拉海沟北段，俯冲板片几乎垂直达到660 km附近；在菲律宾海沟，PHP向EUAP之下的俯冲深度超过660 km．（2）南海地区之下是一个深达300～400 km的宽阔低速区，并且大致在莺琼海盆与700 km深处另一低速区曲折相通；在该宽阔低速区内部，有两个小而明显的低速区分别在海口火山和珠江口盆地下方．（3）对Vp和Vs及据其算出的容声速度Vb作分析发现，Vs和Vb的平均扰动量对深度的变化在一些深度范围内是反向的；年龄较大的太平洋板块俯冲体的Vs相对扰动量的平均值大于Vb的，而在较年轻的PHP俯冲体中则正好相反． 相似文献
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土是由一定尺寸大小颗粒所构成的多孔介质,具有明显的颗粒特性,当土颗粒间的孔隙被流体（如水或油）充满时则成为饱和土.利用微极理论和Biot波动理论的研究成果,把饱和土中多孔固体骨架部分近似地视为微极介质,孔隙中的流体部分视为质点介质,获得饱和多孔微极介质的弹性波动方程.借鉴Greetsma理论,建立了饱和多孔微极介质弹性本构方程力学参数与相应单相介质弹性参数的相互关系,使饱和多孔微极介质弹性波动方程中的物理参数具有明确的物理意义,易于在试验中确定.运用场论理论把饱和多孔微极介质的波动方程简化为势函数方程,建立了饱和多孔微极介质中五种弹性波的弥散方程,数值分析了五种简谐体波在无限饱和多孔微极介质中的传播特性. 结果表明,P1波、P2波和剪切S1波的波速弥散曲线与经典饱和多孔介质基本相同,当频率小于临界频率ω0时旋转纵波θ波和横波S2波不存在,当频率大于临界频率ω0时,θ波和S2波的传播速度随频率增加而减小. 相似文献
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An absorbing boundary for saturated porous media is developed that can be used for transient analyses in the time domain. The elastic constitutive equations for the saturated porous media follow Bowen's formulation. The method consists of applying viscous tractions along the artificial boundary. The absorbing boundary behaviour is assumed linear and isotropic. Hadamard's conditions provide the speeds of the dilatational and shear waves that propagate in saturated porous media. Since these expressions are frequency independent, the intensities of the viscous tractions are evaluated in the time domain, and the two dilatational waves are accounted for. The viscous tractions are defined from the drained characteristics, assuming an infinite permeability, at variance with the traditional ‘undrained’ method based on undrained characteristics and a null permeability. Solid media and materials with low permeability are also retrieved as subcases. The results show that, at no additional cost, this ‘drained’ method is more accurate for all permeabilities than the ‘undrained’ method, which disregards the existence of the second dilatational wave. Copyright © 2003 John Wiley & Sons, Ltd. 相似文献
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一、引言弹性体中波的传播問題迄今已有較广泛的研究.对飽水孔隙弹性介貭中波的传播問題研究的尚少。但此种問題在地球物理、地震、土木工程和声学等研究中均有重要意义. 相似文献
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Typical rock samples with different lithologic characteristics were collected from exploring wells drilled in sandstone-conglomerate sedimental reservoirs with positive rhythm. In different pore fluid states (fully saturated with gas, water and oil), the velocities of compressional and shear waves (Vp, Vs) were measured under different overburden pressure in laboratory. The effects of pore fluid and different fluid types on the velocities were analyzed. The velocities (Vp, Vs) of the samples fully saturated with water were calculated by use of Gassmann's formula that is suitable for low frequency. The calculated values were compared with the experimental values obtained at high frequency. The result shows that Gassmann's theory can be used to calculate elastic wave velocities in porous rocks saturated with fluid. By this result, the change of elastic velocities with the change of fluid can be predicted. The error is allowable in petroleum engineering. This conclusion is useful for sonic logging interpretation and seismic datum processing. 相似文献
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The dynamic response of a tunnel buried in a two-dimensional poroelastic soil layer subjected to a moving point load was investigated theoretically. The tunnel was simplified as an infinite long Euler–Bernoulli beam, which was placed parallel to the traction-free ground surface. The saturated layer was governed by Biot’s theory. Combined with the specified boundary conditions along the beam and saturated poroelastic layer, the coupled equations of the system were solved analytically in the frequency–wavenumber domain based on Fourier transform. The time domain responses were obtained by the fast inverse Fourier transform. The critical velocity of the considered structure was determined from the dispersion curves. The different dynamic characteristics of the elastic soil medium and the saturated poroelastic medium subjected to the underground moving load were investigated. It is concluded that, for coarse materials or fine materials subjected to the high-velocity loading, models ignoring the coupling effects between the pore fluid and the soil skeleton may cause errors. The shear modulus and the permeability coefficients of the saturated soil as well as the load moving velocity had significant influence on the displacement and pore pressure responses. 相似文献
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M.D. Sharma 《Geophysical Prospecting》2019,67(8):2147-2160
Propagation of harmonic plane waves is studied in a patchy-saturated porous medium. Patchy distribution of the two immiscible fluids is considered in a porous frame with uniform skeletal properties. A composition of two types of patches, connected through continuous paths, constitutes a double-porosity medium. Different compressibilities of pore-fluids in two porous phases facilitate the wave-induced fluid-flow in this composite material. Constitutive relations are considered with frequency-dependent complex elastic coefficients, which define the dissipative behaviour of porous aggregate due to the flow of viscous fluid in connected patches. Relevant equations of motion are solved to explain the propagation of three compressional waves and one shear wave in patchy-saturated porous solids. A numerical example is solved to illustrate dispersion in phase velocity and quality factor of attenuated waves in patchy-saturated porous materials. Role of fluid–solid inertial coupling in Darcy's law is emphasized to keep a check on the dispersion of wave velocities in the porous composite. Effects of patchy saturation on phase velocities and quality factors of attenuation are analysed using the double-porosity formulation as well as the reduced single-porosity equivalents. 相似文献
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The simplified macro‐equations of porous elastic media are presented based on Hickey's theory upon ignoring effects of thermomechanical coupling and fluctuations of porosity and density induced by passing waves. The macro‐equations with definite physical parameters predict two types of compressional waves (P wave) and two types of shear waves (S wave). The first types of P and S waves, similar to the fast P wave and S wave in Biot's theory, propagate with fast velocity and have relatively weak dispersion and attenuation, while the second types of waves behave as diffusive modes due to their distinct dispersion and strong attenuation. The second S wave resulting from the bulk and shear viscous loss within pore fluid is slower than the second P wave but with strong attenuation at lower frequencies. Based on the simplified porous elastic equations, the effects of petrophysical parameters (permeability, porosity, coupling density and fluid viscosity) on the velocity dispersion and attenuation of P and S waves are studied in brine‐saturated sandstone compared with the results of Biot's theory. The results show that the dispersion and attenuation of P waves in simplified theory are stronger than those of Biot's theory and appear at slightly lower frequencies because of the existence of bulk and shear viscous loss within pore fluid. The properties of the first S wave are almost consistent with the S wave in Biot's theory, while the second S wave not included in Biot's theory even dies off around its source due to its extremely strong attenuation. The permeability and porosity have an obvious impact on the velocity dispersion and attenuation of both P and S waves. Higher permeabilities make the peaks of attenuation shift towards lower frequencies. Higher porosities correspond to higher dispersion and attenuation. Moreover, the inertial coupling between fluid and solid induces weak velocity dispersion and attenuation of both P and S waves at higher frequencies, whereas the fluid viscosity dominates the dispersion and attenuation in a macroscopic porous medium. Besides, the heavy oil sand is used to investigate the influence of high viscous fluid on the dispersion and attenuation of both P and S waves. The dispersion and attenuation in heavy oil sand are stronger than those in brine‐saturated sandstone due to the considerable shear viscosity of heavy oil. Seismic properties are strongly influenced by the fluid viscosity; thus, viscosity should be included in fluid properties to explain solid–fluid combination behaviour properly. 相似文献
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An analytical model for describing the propagation and attenuation of Rayleigh waves along the free surface of an elastic porous medium containing two immiscible, viscous, compressible fluids is developed in the present study based on the poroelastic equations formulated by Lo et al. [Lo WC, Sposito G, Majer E. Wave propagation through elastic porous media containing two immiscible fluids. Water Resour Res 2005;41:W02025]. The dispersion equation obtained is complex-valued due to viscous dissipation resulting from the relative motion of the solid to the pore fluids. As an excitation frequency is stipulated, the dispersion equation that is a cubic polynomial is numerically solved to determine the phase speed and attenuation coefficient of Rayleigh waves in Columbia fine sandy loam permeated by an air–water mixture. Our numerical results show that, corresponding to three dilatational waves, there is also the existence of three different modes of Rayleigh wave in an unsaturated porous medium, which are designated as the R1, R2, and R3 waves in descending order of phase speed, respectively. The phase speed of the R1 wave is non-dispersive (frequency-independent) in the frequency range we examined (10 Hz–10 kHz) and decreases as water saturation increases, whose magnitude ranges from 20% to 49% of that of the first dilatational wave with respect to water content. However, it is revealed numerically that the R2 and R3 waves are functions of excitation frequency. Given the same water saturation and excitation frequency, the phase speeds of the R2 and R3 waves are found to be approximately 90% of those of the second and third dilatational waves, respectively. The R1 wave has the lowest attenuation coefficient whereas the R3 wave attenuates highest. 相似文献
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D. N. Mikhailov 《Izvestiya Physics of the Solid Earth》2010,46(10):897-909
For the case of a partially saturated porous medium, analysis of the conditions is carried out under which the properties
of the Frenkel-Biot P waves are similar. The condition of dynamic compatibility (with fulfillment of which a wave of the first kind is propagated
without attenuation) is generalized to the case of partially saturated porous media. It is found that the wave connected with
the matrix deformation possesses a high attenuation coefficient in a porous medium saturated with a weakly-compressible liquid,
but it is a weakly decaying wave in a gas-saturated porous medium. Asymptotic formulas for phase wave velocities are obtained
within a low-frequency and high-frequency limit for the general case of a partially saturated porous medium. It is shown that
in the domain of low gas saturation, the attenuation coefficient of a wave of the first kind (i.e., a wave connected with
the compressibility of phases) depends on the state of the gas in porous space. The following three cases are considered:
(1) the microbubbles occluded in the saturating liquid; (2) the microbubbles adsorbed on the walls of pores; and (3) the macrobubbles
that completely occupy one or several pores. This characteristic can be used as the diagnostic parameter. 相似文献