六种不同变质程度煤的纵横波速度特征及其与密度的关系

对采自不同地区和煤矿的六种不同变质程度煤样进行常温常压条件下的超声测量.测量发现:煤的纵波与横波速度均与密度存在良好的线性正相关关系,且沿煤层走向、倾向和垂直煤层层理方向的纵横波速度逐渐降低;走向、倾向和垂向上的纵波速度与同一方向的横波速度也存在良好的线性正相关性;六种煤样三个方向间的速度各向异性一般都大于10%.通过与经典经验公式—Gardner与Castagna公式理论换算值的对比发现:由于煤层的软岩特征,理论换算煤的纵波速度、横波速度与实验室实测值之间存在较大误差.因此,在煤田地震勘探中应使用根据煤的岩石物理测试而形成的关系式.     

常温压条件下五种变质程度构造煤的超声弹性特征

鉴于构造煤对煤矿安全生产和煤层气抽采的重要影响,为了实现构造煤的地震预测,针对淮南、平顶山、鹤壁和焦作4个矿区采集的5种不同变质程度的碎粒与糜棱构造煤样进行了走向方向的实验室超声测量。在常温常压条件下,构造煤样纵、横波超声测试显示：相比于原生结构煤,构造煤的纵横波速度、品质因子、弹性模量大幅度降低。具体表现为：构造煤的纵横波速度之间存在一定的相关性,但速度与密度、速度与品质因子、纵波品质因子与横波品质因子之间的线性相关性已不存在;纵横波速度比与泊松比总体呈现降低的规律,纵波品质因子小于横波品质因子。孔隙结构与弹性模量的关系分析显示：纵横波速度与孔隙体积、有效孔隙率和比表面积存在较好的正相关性;杨氏模量、剪切模量也存在类似的关系,但其他模量不存在这种相关性。不同构造煤样的弹性模量、孔隙结构与变质程度、密度之间未发现存在相关性,这与构造煤主要表现为结构的破坏是吻合的。上述实验结果显示,从地震弹性反演的角度预测构造煤是可能的。     

六种不同煤阶煤的品质因子特征

通过6种不同煤阶煤的弹性测试,分析了煤岩变质程度（以镜质组最大反射率表示）与煤岩品质因子之间的关系;在此基础上,进一步分析了煤岩速度与品质因子之间的关系及纵波与横波品质因子的各向异性特征.研究发现：煤岩镜质组最大反射率与纵波、横波品质因子均存在良好的线性相关性;垂直层理方向的波速与品质因子存在良好的线性关系,好于走向与倾向方向;垂直层理方向的纵波与横波品质因子线性相关,相关系数可达93.5%;煤岩的三方向品质因子存在各向异性,且强于速度的各向异性.通过横波品质因子与纵波品质因子间相互换算的理论公式计算结果与实验室实测结果的对比,证明了该理论公式的可靠性,误差小于10%,为多分量转换波的吸收衰减补偿提供了理论依据.     

气煤弹性各向异性系数实验测试

气煤裂隙丰富,具有弹性各向异性,确定气煤弹性各向异性类型与大小,对煤田各向异性研究具有重要意义. 本文在对气煤煤样孔隙率测试的基础上,测量了顺煤层面、垂直于煤层面、与煤层面成45°三个方向上纵波速度（V_P）和横波速度（V_SH、V_SV）,计算弹性常数. 对于具有垂向对称轴横向各向同性模型,各向异性系数平均值|ε|≤0.2、|δ|≤0.2和|γ|≤0.2,表明气煤是弱各向异性介质;对于横向对称轴横向各向异性模型,各向异性系数平均值ε(V)≈δ(V),按照Thomsen观点气煤各向异性是由椭圆裂隙引起弹性各向异性.本文还讨论了各向异性系数与孔隙率的关系,表明各向异性的大小与孔隙率之间有一定的关系. 因此当煤层厚度与其顶底板岩性不变或变化很小,可以认为气煤各向异性主要由裂隙引起的,气煤各向异性大小和方向能够反映煤的裂缝密度和方位.     

沁水盆地太原组煤层岩石物理性质、镜质组反射率与微观结构实验研究（英文）

为了分析沁水盆地太原组煤层岩石物理性质、镜质组反射率与微观结构之间的关系,采集了三个不同煤矿井下的11个煤岩样品,利用MTS岩石物理参数测试系统对煤样进行弹性参数测试,通过薄片鉴定和扫描电镜对11个煤样的有机显微组分、镜质组最大反射率和微观结构特征进行了分析。对上述实验结果进行交会分析发现:一些弹性参数之间具有线性关系;纵波速度与横波速度均具有各向异性特征,其各向异性特征与镜质组最大反射率有良好的负相关性;纵横波速度、杨氏模量与微孔含量呈负相关关系。获得的煤岩岩石物理参数之间的关系构成了煤岩地震岩石物理建模和煤层气地震反演技术的基础。     

致密砂岩波速各向异性及弹性参数随围压变化规律的实验研究

为研究致密砂岩储层弹性波速度各向异性及弹性参数随围压的变化规律,应用地质力学研究所从美国New England Reaearch Inc引进的Autolab2000岩石物性实验设备,对采自长庆油田延长组储层的3组典型致密砂岩,对其X、Y、Z三个方向分别取样,进行了不同孔隙介质(干燥、饱水及饱油)条件下弹性波速度随围压(5~180 MPa)变化规律的实验研究工作,得到了X、Y、Z三个方向分别在干燥、饱水及饱油时的弹性波速度,并对X、Y、Z三个方向的各向异性进行计算和对比分析.同时根据测得的弹性波平均速度得到样品的弹性参数随围压的变化规律,对实验曲线进行拟合,获得不同孔隙介质条件下弹性波速度、各向异性、弹性参数随围压的变化规律及其拟合公式.结果表明,垂直方向速度值最低,横波各向异性指数小于纵波各向异性指数;随着围压的增加,致密砂岩波速增大,其各向异性以幂函数形式减小,体模量、弹性模量、剪切模量和拉梅常数以对数函数形式有不同程度的增加,泊松比因所含介质不同而有不同的变化趋势,除个别线外,拟合系数皆在0.956以上.在围压高于140 MPa时,干燥、饱水和饱油状态下的泊松比皆在0.24左右.     

黏弹性EDA介质中地震波的传播特征

地球介质基本为黏弹性各向异性介质,研究黏弹性各向异性介质中地震波的传播特征对提高地震勘探精度及准确性有着重要意义.相速度与群速度是认识黏弹性各向异性地震波传播规律的主要参数,对地震数据解释具有重要意义.本文基于特殊分量法,通过求解christoffel方程,推导出黏弹性EDA介质中均匀、非均匀波的精确相速度、慢度和群速度公式,并通过模型计算研究了SH波的相速度特征及其随相角和不均匀参数D的变化规律.结果表明D影响了地震波的相速度大小,但对其方位特性无影响,在EDA介质中相速度随方位角变化的规律仍然可指示介质的对称轴方向和裂隙的走向.     

垂向裂隙各向异性煤层地震波响应

煤层中存在的裂隙会导致介质表现为各向异性,本文以HTI型煤层为例,结合各向异性介质弹性矩阵和各向异性裂隙理论,推导出不同充填物的垂直裂隙中各向异性参数表达式,将其应用于地震波响应分析;通过改进的交错网格差分法和各向异性Christoffel方程波场分解法,得到地震波合成记录和分解后的P波和SV波记录;将Thomsen群速度与相速度公式,经过坐标轴旋转变换,得到HTI型煤层中不同各向异性参数的地震波速度响应表达式;建立不同类型煤层地质模型,分析了裂隙密度、裂隙充填物以及煤层厚度等参数变化时的地震波响应特征.研究结果为分析垂向裂隙各向异性薄煤层地震波传播规律提供工具,为选用相应地震数据进行地震波各向异性参数反演提供依据.     

基于分数阶时间导数的黏弹性衰减VTI介质中平面波传播

目前在地震勘探频带范围内通常假设品质因子Q与频率无关,且呈衰减各向同性.事实上,相比较速度各向异性,介质的衰减各向异性同样不可忽视.本文将衰减各向异性和速度各向异性二者与常Q模型相结合,建立了黏弹性衰减VTI介质模型,并基于分数阶时间导数理论,给出了对应的本构关系和波动方程.利用均匀平面波分析和Poynting定理,推导出准压缩波qP、准剪切波qSV和纯剪切波SH的复速度、相速度、能量速度以及品质因子的解析表达式.对模型的正确性进行了数值验证,并分析了qP,qSV和SH波在介质中的传播特性.数值试验结果表明:本模型能够实现理想的恒定Q行为,表现了品质因子和速度的各向异性特征,显示出黏弹性增强将导致能量速度和相速度的频散曲线变化剧烈;速度和衰减各向异性参数与传播角度之间的耦合效应对qP,qSV和SH波的速度和能量影响明显;qP,qSV和SH波的频散曲线和波前面随着衰减各向异性强度的改变发生显著变化,其中耦合在一起的qP和qSV波变化趋势相同,而SH波与它们呈现相反的变化规律.本研究为从常Q模型角度分析地震波在衰减各向异性黏弹性介质中的传播特征奠定了理论基础.     

黏弹性VTI介质中敏感度核函数：地震波复走时关于弹性模量及Q值偏导数的计算

实际地层中地震波传播普遍存在速度和衰减各向异性现象,研究黏弹各向异性介质中高频地震波传播理论有助于揭示地震波的传播特征.本文针对黏弹性VTI介质,从Christoffel矩阵的解析特征值出发推导出qP、qSV和qSH波的复相速度和复射线速度的解析表达式,并应用实射线追踪方法确定出均匀复射线速度矢量,由此计算出实射线速度和实射线衰减以及实射线品质因子.基于非均匀复相速度和均匀复射线速度的解析表达式,推导了实射线慢度和实射线衰减关于黏弹性模量(包括弹性模量和Q值)的敏感度核函数,该敏感度核函数反映各个黏弹性模量对地震波复走时的影响程度.不同岩石样本的数值计算结果显示,实走时对弹性模量更为敏感,而射线衰减(虚走时)对弹性模量和Q值的敏感程度相当.本研究可为黏弹性VTI介质中地震射线追踪和复走时层析成像提供理论基础.     

Ultrasonic elastic characteristics of five kinds of metamorphic deformed coals under room temperature and pressure conditions

The calibration of the elastic characteristics of deformed coals is essential for seismic inversion of such units, because the prediction of coal deformation is essential for both mining safety and methane production. Therefore, many samples of broken and mylonitic deformed coal were tested with ultrasonic waves in the laboratory. These samples came from four mining areas: the Huainan, Pingdingshan, Hebi and Jiaozuo coal mines, which present five different metamorphic ranks shown as cylinders striking across circular limits of steel. Under normal pressures and temperatures, ultrasonic P- and S-wave tests show that the velocities, quality factors, and elastic moduli of the deformed coals were greatly reduced compared with undeformed coals. Also, some correlation was found between the P- and S-wave velocities in the deformed coals. However, there is no evidence of linear correlations between velocity and density, velocity and quality factor, or the quality factors of P- and S-waves. Compared with the elastic characteristics of undeformed coals, such as P- and S-wave velocity ratios or Poisson’s ratio, those of deformed coals generally decrease and the P-wave quality factors are less than those of S-waves. Moreover, the analysis of the relationship between pore structure and elastic modulus shows a better correlation between the P- and S-wave velocities and effective porosity, pore volume and specific surface area. Also, there are similar relationships between the pore structure and the Young’s and shear moduli. However, there are no such correlations with other moduli. Correlations between these elastic moduli, pore structure, coal rank and density were not found for the various samples of deformed coals, which is consistent with only structural destruction occurring in the deformed coals with other physical properties remaining unchanged. The experimental results show that it is possible to predict the deformation of coals with multi-component seismic elastic inversion.     

六种不同变质程度煤的最大镜质组反射率与弹性参数的关系

煤镜质组反射率是评价煤阶、区分煤种的重要参数之一,在煤层气勘探与开发、采煤、化工和冶金中有着重要的应用.以往煤阶的评价单纯通过巷道和钻孔取芯的煤样实验室测试分析获得,受取样点有限限制.本文通过6种不同变质程度煤的挥发分和镜质组最大反射率的测试,配合煤样的超声弹性测量,探讨了镜质组最大反射率与地震属性参数-波速、密度和弹性模量之间的相关性.研究发现:煤镜质组最大反射率与地震属性参数均存在较好的线性正相关,其中以密度与纵波速度的相关程度最高.从而为利用煤田地震预测镜质组最大反射率,进而预测煤阶的三维立体分布提供了试验与物理依据.     

Simulation of improved pure P-wave equation in transversely isotropic media with a horizontal symmetry axis

Characterizing the expressions of seismic waves in elastic anisotropic media depends on multiparameters. To reduce the complexity, decomposing the P-mode wave from elastic seismic data is an effective way to describe the considerably accurate kinematics with fewer parameters. The acoustic approximation for transversely isotropic media is widely used to obtain P-mode wave by setting the axial S-wave phase velocity to zero. However, the separated pure P-wave of this approach is coupled with undesired S-wave in anisotropic media called S-wave artefacts. To eliminate the S-wave artefacts in acoustic waves for anisotropic media, we set the vertical S-wave phase velocity as a function related to propagation directions. Then, we derive a pure P-wave equation in transversely isotropic media with a horizontal symmetry axis by introducing the expression of vertical S-wave phase velocity. The differential form of new expression for pure P-wave is reduced to second-order by inserting the expression of S-wave phase velocity as an auxiliary operator. The results of numerical simulation examples by finite difference illustrate the stability and accuracy of the derived pure P-wave equation.     

Elastic reverse-time migration based on amplitude-preserving P- and S-wave separation

Imaging the PP- and PS-wave for the elastic vector wave reverse-time migration requires separating the P- and S-waves during the wave field extrapolation. The amplitude and phase of the P- and S-waves are distorted when divergence and curl operators are used to separate the P- and S-waves. We present a P- and S-wave amplitude-preserving separation algorithm for the elastic wavefield extrapolation. First, we add the P-wave pressure and P-wave vibration velocity equation to the conventional elastic wave equation to decompose the P- and S-wave vectors. Then, we synthesize the scalar P- and S-wave from the vector Pand S-wave to obtain the scalar P- and S-wave. The amplitude-preserved separated P- and S-waves are imaged based on the vector wave reverse-time migration (RTM). This method ensures that the amplitude and phase of the separated P- and S-wave remain unchanged compared with the divergence and curl operators. In addition, after decomposition, the P-wave pressure and vibration velocity can be used to suppress the interlayer reflection noise and to correct the S-wave polarity. This improves the image quality of P- and S-wave in multicomponent seismic data and the true-amplitude elastic reverse time migration used in prestack inversion.     

The bound weighted average method (BWAM) for predicting S-wave velocity

The shear-wave velocity is a very important parameter in oil and gas seismic exploration, and vital in prestack elastic-parameters inversion and seismic attribute analysis. However, shearing-velocity logging is seldom carried out because it is expensive. This paper presents a simple method for predicting S-wave velocity which covers the basic factors that influence seismic wave propagation velocity in rocks. The elastic modulus of a rock is expressed here as a weighted arithmetic average between Voigt and Reuss bounds, where the weighting factor, w, is a measurement of the geometric details of the pore space and mineral grains. The S-wave velocity can be estimated from w, which is derived from the P-wave modulus. The method is applied to process well-logging data for a carbonate reservoir in Sichuan Basin, and shows the predicted S-wave velocities agree well with the measured S-wave velocities.     

Stress‐dependent elastic anisotropy of sandstones

Elastic wave velocities in sandstones vary with stress due to the presence of discontinuities such as grain boundaries and microcracks within the rock. In the presence of non-hydrostatic stress fields the elastic wave velocities in sandstones often show significant stress-induced anisotropy. The elastic anisotropy due to any discontinuities within the rock can be written in terms of a second-rank and a fourth-rank tensor which quantify the effect on the elastic wave velocities of the orientation distribution and normal and shear compliances of the discontinuities. This allows elastic wave velocity measurements to be inverted to obtain the components of these tensors. Application of the method to ultrasonic velocity measurements made in a triaxial loading frame shows that a simple theory using only the second-rank tensor allows the P-wave stress-induced anisotropy to be predicted to reasonable accuracy from the S-wave anisotropy and vice versa, thus confirming the correctness of the underlying model. Deviations between the measurements and the predictions of this simplified theory are used to determine the ratio of the normal to shear compliance of the discontinuities. The discontinuities are found to be more compliant in shear than in compression.     

六分量弹性波场数值模拟与分析

地震波传播过程中,质点的振动不仅包括三个独立的平移部分,还包括三个独立的旋转部分.本文基于一阶速度-应力弹性波方程,采用分裂完全匹配层(SPML)的吸收边界条件,推导了时间导数二阶精度和空间导数高阶精度的交错网格有限差分格式的弹性波速度与应力各分量计算公式,模拟了各向同性介质中均匀模型和层状模型下的六分量波场,并对二维各向同性层状模型下的三个分量地震记录做高分辨率线性拉东变换得到各自的频散能谱.数值模拟分析结果表明:(1)旋转分量的能量要比平动分量弱的多;(2)在平动分量上,面波能量强,频率低,反射P波能量较强,反射S波能量稍弱;在旋转分量上,反射P波能量很弱,S波能量强;(3)与平动分量相比,旋转分量的频散能谱效果更好,能看到基阶和完整的高阶面波,即旋转分量能反映更多的地下介质信息.     

基于能量密度的自解耦互相关成像条件

基于能量密度构建的弹性波能量成像条件,可以准确提取弹性波场的能量信息,并可以有效压制背向散射.但是该成像条件得到的成像结果将所有弹性波场能量信息耦合在一起,难以区分纯波模式的能量信息.为此,我们从势能及动能两方面将能量场解耦,得到纯纵波（PP）、纯横波（SS）、转换波（C）能量场.根据能量守恒定律,基于Helmholtz原理对位移场的空间导数进行因式分解,将弹性势能自解耦得到纯纵波、纯横波及转换波势能;引入体应力构建得到P波及S波速度,将弹性动能分解为纯纵波、纯横波和转换波动能.从而,构建基于能量密度自解耦得到纯波能量互相关成像条件.数值实验表明自解耦成像条件可实现弹性波场能量的分解,并得到背向散射压制、振幅有效保持的PP波、SS波和C波成像结果.