基于贝叶斯框架的各向异性页岩储层岩石物理反演技术

页岩岩石物理建模旨在建立页岩矿物组分、微观结构、流体填充与岩石弹性参数的关系.对四川盆地龙马溪组页岩进行岩石物理建模研究,针对页岩黏土含量高、层间微裂缝发育等特点,利用Backus平均理论描述页岩黏土矿物弹性参数,利用Chapman理论计算与水平微裂缝有关的VTI各向异性,并利用Bond变换考虑地层倾角的影响.提出以黏土矿物纵、横波速度和孔隙纵横比为拟合参数进行岩石物理反演的方法,并引入贝叶斯框架减小反演的多解性.由已知的黏土矿物纵、横波速度和孔隙纵横比作为先验信息,并以测井纵、横波速度作为约束条件建立反演的目标函数,同时利用粒子群算法进行最优化搜索.计算结果表明,基于先验约束和粒子群算法的反演方法能够较准确地反演黏土矿物的弹性参数、孔隙形态参数以及裂缝密度等参数.计算得到的黏土纵、横波速度较高,并且在一定范围内变化,这可能与龙马溪组页岩的黏土矿物组分中具有较高弹性模量的伊利石含量较高有关,同时也与黏土定向排列等微观物性特征有关.反演得到的裂缝密度与纵波各向异性参数ε呈明显的正相关,而与横波各向异性参数γ相关性较小.另外,页岩各向异性参数与黏土垂向的纵横波速度有较强的相关性.     

基于统计岩石物理模型的各向异性页岩储层参数反演

提出了各向异性页岩储层统计岩石物理反演方法.通过统计岩石物理模型建立储层物性参数与弹性参数的定量关系,使用测井数据及井中岩石物理反演结果作为先验信息,将地震阻抗数据定量解释为储层物性参数、各向异性参数的空间分布.反演过程在贝叶斯框架下求得储层参数的后验概率密度函数,并从中得到参数的最优估计值及其不确定性的定量描述.在此过程中综合考虑了岩石物理模型对复杂地下介质的描述偏差和地震数据中噪声对反演不确定性的影响.在求取最大后验概率过程中使用模拟退火优化粒子群算法以提高收敛速度和计算准确性.将统计岩石物理技术应用于龙马溪组页岩气储层,得到储层泥质含量、压实指数、孔隙度、裂缝密度等物性,以及各向异性参数的空间分布及相应的不确定性估计,为页岩气储层的定量描述提供依据.     

Quantitative characterization of reservoir space in the Lower Silurian Longmaxi Shale,southern Sichuan,China

Based on the drilling data of the Upper Ordovician Wufeng Shale and the Lower Silurian Longmaxi Shale in southern Sichuan Basin,the construction of matrix pores and the development condition of fractures in a marine organic-rich shale are quantitatively evaluated through the establishment of the reservoir petrophysical models and porosity mathematical models.Our studies show that there are four major characteristics of the Longmaxi Shale confirmed by the quantitative characterization:(1)the pore volume of per unit mass is the highest in organic matter,followed in clay minerals,finally in brittle minerals;(2)the porosity of the effective shale reservoir is moderate and equal to that of the Barnett Shale,and the main parts of the shale reservoir spaces are interlayer pores of clay minerals and organic pores;(3)the porosity of the organic-rich shale is closely related to TOC and brittle mineral/clay mineral ratio,and mainly increases with TOC and clay mineral content;(4)fractures are developed in this black shale,and are mainly micro ones and medium-large ones.In the Longmaxi Shale,the fracture density increases from top to bottom,reflecting the characteristics with high brittle mineral content,high Young’s modulus,low Poisson's ratio and high brittleness at its bottom.     

矿物组分对龙马溪组页岩动、静态弹性特征的影响

龙马溪组页岩是目前国内页岩气勘探的主要层位之一,其静态弹性性质是影响压裂效果的重要因素,而动态弹性性质则是页岩"甜点"地震预测的重要基础.但对龙马溪组页岩动、静态弹性特征相互关系及其影响因素缺少对比研究,致使运用动态弹性性质进行"甜点"预测时存在不确定性.在对龙马溪组页岩样品系统动、静态性质联合测量基础上,分析了页岩样品动、静态弹性性质的变化规律,并讨论了成岩作用与动、静态弹性性质变化规律的因果关系.研究结果表明,龙马溪组页岩上下两段成岩过程存在明显差异,致使上段页岩在结构上表现为以塑性黏土颗粒作为受力骨架,而下段页岩在结构上逐渐转变为脆性石英颗粒作为受力骨架.页岩岩石结构特征的变化控制了动、静态弹性特征的整体变化规律,表现为动、静态杨氏模量、峰值强度等随石英含量的增大表现出近似"V"型的变化形式,而与钙质含量变化呈现正相关关系,与黏土含量变化表现出负相关性.上段页岩宏观力学性质受微观石英+黏土颗粒集合体弹性性质控制,应力应变曲线表现出明显塑性段,动、静态杨氏模量比大于1.4,破裂易于发生在黏土与石英颗粒边界形成宏观单剪型破裂模式,样品脆性低,且脆性变化不受石英含量的影响.下段页岩宏观力学性质受微观石英颗粒集合体弹性性质控制,应力应变曲线表现为弹性变形,动、静态杨氏模量比小于1.4,破裂发生在石英颗粒内部形成宏观劈裂型破裂模式,样品脆性高,且脆性变化与石英含量呈明显正相关关系.研究结果可为龙马溪页气储层的测井解释和地震"甜点"预测提供依据.     

横观各向同性页岩岩石物理模型建立——以龙马溪组页岩为例

在龙马溪页岩微观物性特征分析的基础上,综合利用测井解释、微观测试分析资料,建立了一种适用于龙马溪页岩的横观各向同性岩石物理模型,该模型建模过程：将各向异性SCA和DEM模型联合模拟得到的黏土和干酪根混合物作为背景介质;采用SCA模型对脆性矿物混合物进行模拟,利用各向异性DEM将脆性矿物混合物添加到背景介质;进一步将空孔隙添加到页岩基质,并利用Brown-Korringa模型进行各向异性条件下的流体替换,从而得到横观各向同性页岩岩石物理模型.通过对四川盆地A井龙马溪页岩进行岩石物理建模分析,计算了孔隙纵横比、纵横波速、各向异性系数和弹性参数,检验了模型的准确性.研究结果表明：矿物颗粒和孔隙纵横比是影响模型精度的关键参数,黏土和干酪根颗粒纵横比为0.05,图像识别获得的脆性矿物颗粒纵横比主要分布于0.45~1.0（集中分布于0.5~0.85）,横波波速反演获得的孔隙纵横比主要分布于0.1~0.3（平均值约为0.22）;模型预测和实测纵波波速之间误差为-2.40%~2.21%（平均绝对误差仅1.20%）,预测和实测横波波速之间误差为-1.93%~1.42%（平均绝对误差仅0.64%）,证实了本文模型的准确性和精度.本文模型能够准确计算页岩5个独立的刚度系数,为页岩弹性参数、声波波速、各向异性和脆性分析提供了有效手段,也为后续地球物理和工程地质参数分析提供了重要依据.     

龙马溪页岩弹性各向异性与矿物分布之间的关系探讨

岩石弹性各向异性特征是普遍存在的,但导致岩石弹性各向异性的原因复杂且仍然存在一定争议.本研究以龙马溪页岩为例,试图建立页岩弹性各向异性和矿物分布之间关系.研究使用无损超声波探测获取岩石弹性各向异性参数,并使用背散射技术获取岩石矿物分布特征.研究通过引进变异系数来描述矿物或孔裂隙在不同方向的差异性,并通过2个正交方向的变异系数建立微观异质性指标,用于表征微观尺度上矿物或孔裂隙在不同方向的差异程度.微观背散射图像显示,龙马溪组页岩主要由石英和伊利石构成,且这两种矿物和孔裂隙在X和Y面上都有定向排列特征.相应地,它们的变异系数在X面和Y面上均表现出随角度增大而降低的特征;而在Z面,石英、伊利石和孔裂隙变异系数变化不明显,这与Z面上矿物和孔裂隙无明显方向性的特点一致.无损超声波探测结果显示,波速在X和Y面上随角度增加而减小,这与主要矿物和孔裂隙变异系数变化趋势相同;而在Z面,波速变化不大,与主要矿物和孔裂隙变异系数变化不明显的特征一致.以上观测结果说明,宏观波速与矿物的微观变异系数明显相关,暗示岩石弹性各向异性与矿物分布直接相关.     

泥岩、页岩声速各向异性及其影响因素分析

在实验室超声波频率下(纵波主频为700kHz、横波为250kHz)对层理发育的页岩和泥岩的各向异性进行了研究,给出了在干燥和油饱和条件下,样品不同方向上纵、横波速度以及各向异性参数随压力的变化规律. 用X 射线衍射和扫描电镜分析了样品中引起各向异性的原因,指出平行于层理定向排列的粘土矿物和微裂隙是使样品显示出强弹性各向异性的内在原因. 随着压力的增高微裂隙逐渐闭合,样品的各向异性程度减弱. 孔隙流体的存在增强了孔隙（裂隙）的刚度,减弱了各向异性随压力增大而减小的趋势.     

龙马溪组页岩微观结构、地震岩石物理特征与建模

龙马溪组页岩是目前国内页岩气勘探的主要层位之一.由于岩石物理实验结果具有区域性,龙马溪组页岩的岩石特征与其地震弹性性质的响应规律需要开展相关的实验和理论研究工作予以明确.本研究基于系统的微观结构观察(扫描电镜和CT成像技术)和岩石物理实验来分析龙马溪组页岩样品地震弹性性质的变化规律,并依据微观结构特征建立相应的地震岩石物理表征模型.研究结果表明,石英含量对龙马溪组页岩的孔隙度以及有机碳(TOC)含量具有一定的控制作用,TOC和黄铁矿主要赋存于孔隙中;岩石骨架组成亦受控于石英或粘土含量,在石英含量大于40%(对应粘土含量小于30%)时,以石英、粘土共同作为岩石骨架,而粘土含量大于30%时,则以粘土作为岩石的骨架.因此,岩石骨架组成矿物、TOC含量、孔隙度共同制约龙马溪组页岩的地震弹性性质,富有机质储层岩石通常表现出低泊松比、低阻抗和低杨氏模量的特征,但由于支撑矿物的转换,某些富有机质页岩亦可表现为高阻抗特征.粘土矿物的定向排列仍然是造成页岩样品表现出各向异性的主要原因,各向异性参数与粘土含量具有指数关系.基于龙马溪组页岩的岩性特征及微观结构特征,可以利用自洽模型(SCA)、微分等效模量模型(DEM)和Backus平均模型的有效组合较为准确地建立龙马溪组页岩的地震岩石物理模型,实验结果和测井数据验证了模型的准确性.研究结果可为龙马溪组页岩气储层的测井解释和地震"甜点"预测提供依据.     

基于频变AVO反演的页岩储层含气性地震识别技术

结合地震岩石物理技术,研究了叠前频变AVO反演在四川盆地龙马溪组页岩储层含气性识别中的应用.首先,应用Backus平均理论将测井数据粗化为地震尺度储层模型,应用传播矩阵理论进行高精度地震正演及井震标定,分析页岩气储层地震响应特征.其次,基于岩心观测结果,应用Chapman多尺度裂缝理论设计页岩气储层理论模型,研究储层衰减、频散以及对应的地震反射特征.应用该理论模型测试频变AVO反演方法,计算结果表明：对于研究区地层结构和地震数据,区分流体类型的优势频率不是地震子波的主频,还受层间调谐干涉等储层结构因素控制,也进一步说明理论模型测试和标定的重要性.最后,将频变AVO反演技术应用到四川盆地龙马溪组页岩地层,计算得到的频散属性为页岩气储层含气性识别提供依据.     

龙马溪组页岩数字岩心动态法弹性等效数值建模

数字岩心是计算岩石弹性性质的一类常用方法.龙马溪组页岩具有多矿物构成、复杂微结构和强非均质等特征,常规岩石物理的弹性等效解析建模局限性较大,目前流行的静态数值等效建模方法的精度有限.本文基于高分辨率的页岩数字岩心数据,采用多阈值分割方法将数字岩心分解为黏土、石英、孔隙、TOC、长石类、黄铁矿类等六种矿物类型;利用矿物组分等效模量法计算各类矿物的弹性模量;采用二元函数分水岭方法表征不同压力下的岩石孔隙变形和颗粒接触关系变化;通过取向分布函数(ODF)定量分析矿物颗粒展布造成的各向异性特征.最后基于Biot孔弹方程,采用不分裂卷积完全匹配层(CPML)旋转交错网格有限差分法模拟不同压力下弹性波在数字岩心中的传播.以未加压的数字岩心为参考模型,计算不同压力下弹性波走时的平均时间差,进而估算各压力点的数字岩心等效速度.与该岩心样品的超声实验测量速度比较,动态法数值计算结果略偏高,据此校正数值计算过程中表征岩石微结构及颗粒接触关系随压力变化的二元函数,有效改善动态法弹性等效数值建模精度.     

基于微结构-尺度双分解的页岩随机介质模拟和非均质特征分析

页岩储层矿物颗粒、孔/裂隙、干酪根等微观结构呈现明显的尺度化分布特征,常规的单结构单尺度随机介质模拟方法难以完整描述和重构微观尺度的页岩储层介质,本文提出了一种微结构-尺度双分解的随机介质模拟方法.基于龙马溪组页岩数字岩心,将岩心切片按照占比分解为脆性矿物、孔隙、干酪根及背景介质四种类型,对脆性矿物、孔隙和干酪根三种微结构进行尺度分解,通过优化随机介质模型参数,实现精确模拟不同尺度的微结构组分,再按占比进行微结构-尺度双合成.结果表明,微结构-尺度双分解随机介质模拟大幅度提高强非均质页岩储层介质的建模精度.     

Shales in the Qiongzhusi and Wufeng–Longmaxi Formations: a rock-physics model and analysis of the effective pore aspect ratio

The shales of the Qiongzhusi Formation and Wufeng–Longmaxi Formations at Sichuan Basin and surrounding areas are presently the most important stratigraphic horizons for shale gas exploration and development in China. However, the regional characteristics of the seismic elastic properties need to be better determined. The ultrasonic velocities of shale samples were measured under dry conditions and the relations between elastic properties and petrology were systemically analyzed. The results suggest that 1) the effective porosity is positively correlated with clay content but negatively correlated with brittle minerals, 2) the dry shale matrix consists of clays, quartz, feldspars, and carbonates, and 3) organic matter and pyrite are in the pore spaces, weakly coupled with the shale matrix. Thus, by assuming that all connected pores are only present in the clay minerals and using the Gassmann substitution method to calculate the elastic effect of organic matter and pyrite in the pores, a relatively simple rock-physics model was constructed by combining the self-consistent approximation (SCA), the differential effective medium (DEM), and Gassmann’s equation. In addition, the effective pore aspect ratio was adopted from the sample averages or estimated from the carbonate content. The proposed model was used to predict the P-wave velocities and generally matched the ultrasonic measurements very well.     

龙马溪组页岩数字岩芯超声响应数值模拟及散射特征分析

超高频（几百兆赫兹）超声数值模拟微米至纳米尺度的龙马溪组页岩数字岩芯及其强非均质性严重挑战数值模拟算法的精度和数值稳定性.本文利用图像阈值分割算法将龙马溪组页岩数字岩芯主要成分分解为石英类、黏土类、黄铁矿及孔隙四种类型,假定液相（油）均匀分布在整个介质模型中,根据岩芯的孔隙度、渗透率和各类矿物的岩石物理参数,建立了精细的非均质双相介质模型.采用基于Biot双相介质方程的不分裂卷积完全匹配层与高精度旋转交错网格有限差分方法精确模拟超声波在页岩岩芯中传播的散射衰减.通过精确控制匹配层吸收边界数来模拟边界反射量及其对尾波的干涉强度,并与超声实验尾波散射Q值进行比较,估算超声实验中的边界反射量及其对尾波的干涉强度.对不同超声子波主频的数值模拟试验,结合L/a-ka散射态式图分析表明：本文采用的龙马溪组页岩数字岩芯的非均质强度与600 MHz波长尺度相当,产生的散射衰减达到最大.开展页岩岩芯超声波散射数值模拟研究,据此评估页岩岩芯的非均质性,为页岩储层声学非均质预测提供依据.     

Seismic amplitude inversion for the transversely isotropic media with vertical axis of symmetry

Transverse isotropy with a vertical axis of symmetry is a common form of anisotropy in sedimentary basins, and it has a significant influence on the seismic amplitude variation with offset. Although exact solutions and approximations of the PP-wave reflection coefficient for the transversely isotropic media with vertical axis of symmetry have been explicitly studied, it is difficult to apply these equations to amplitude inversion, because more than three parameters need to be estimated, and such an inverse problem is highly ill-posed. In this paper, we propose a seismic amplitude inversion method for the transversely isotropic media with a vertical axis of symmetry based on a modified approximation of the reflection coefficient. This new approximation consists of only three model parameters: attribute A, the impedance (vertical phase velocity multiplied by bulk density); attribute B, shear modulus proportional to an anellipticity parameter (Thomsen's parameter ε−δ); and attribute C, the approximate horizontal P-wave phase velocity, which can be well estimated by using a Bayesian-framework-based inversion method. Using numerical tests we show that the derived approximation has similar accuracy to the existing linear approximation and much higher accuracy than isotropic approximations, especially at large angles of incidence and for strong anisotropy. The new inversion method is validated by using both synthetic data and field seismic data. We show that the inverted attributes are robust for shale-gas reservoir characterization: the shale formation can be discriminated from surrounding formations by using the crossplot of the attributes A and C, and then the gas-bearing shale can be identified through the combination of the attributes A and B. We then propose a rock-physics-based method and a stepwise-inversion-based method to estimate the P-wave anisotropy parameter (Thomsen's parameter ε). The latter is more suitable when subsurface media are strongly heterogeneous. The stepwise inversion produces a stable and accurate Thomsen's parameter ε, which is proved by using both synthetic and field data.     

Study on anisotropy of Longmaxi shale using hydraulic fracturing experiment

Hydraulic fracturing reservoir reconstruction technology is crucial in the development of shale gas exploitation techniques.Large quantities of high-pressure fluids injected into shale reservoirs significantly alter compressional(P)and shear(S)wave velocities,rock mechanical parameters,and anisotropic characteristics.In this study,differentiated hydraulic fracturing petrophysical experiments were carried out on Longmaxi Formation shale under pseudo-triaxial stress loading conditions.The effects of stress loading methods,and water-rock physical and chemical reactions on P-and S-wave velocities and rock mechanical parameters were compared.The experimental results showed that isotropic stress loading may increase the P-and Swave velocities and Young’s modulus of dry shale kldnsample.Furthermore,it may lead to a weakening of the corresponding anisotropy.In contrast,differential stress loading was able to improve the anisotropy of Young’s modulus and accelerate the decrease in the compressive strength of shale in the vertical bedding direction.The water-rock physical and chemical reactions prompted by hydraulic fracturing was found to"soften"shale samples and reduce Young’s modulus.The influence of this"soften"effect on the compressional and shear wave velocities of shale was negligible,whilst there was a significant decrease in the anisotropy characteristics of Thomsen parameters,Young’s modulus,and Poisson’s ratio.The negative linear relationship between the Poisson’s ratios of the shale samples was also observed to lose sensitivity to stress loading,as a result of the"soften"effect of fracturing fluid on shale.The results of this study provide a reliable reference point and data support for future research on the mechanical properties of Longmaxi shale rocks.     

基于波动方程的微地震震源位置、震源时间及VTI介质各向异性参数联合反演

对于非常规油气开发,水力压裂监控的效果取决于对微地震事件的分析、解释.准确的微地震震源位置是关乎施工成败的重要因素.微地震震源位置的准确性与多个参数相关,其不仅依赖于微地震事件的激发时间,同时也依赖于储层介质参数信息,因此进行微地震震源位置、震源时间、储层介质参数的联合反演尤为重要.页岩气储层通常表现出较强的各向异性,...     

The impact of different clay minerals on the anisotropy of clay matrix in shale

Although clay is composed of disconnected anisotropic clay platelets, many rock physics models treat the clay platelets in shale as interconnected. However, the clay matrix in shales can be modelled as anisotropic clay platelets embedded within a soft isotropic interplatelet region, allowing the influence of disconnected clay platelets on the elastic properties of the clay matrix to be analysed. In this model, properties of the interplatelet region are governed by its effective bulk and shear moduli, whereas the effective properties of the clay platelets are governed by their volume fraction, aspect ratio and elastic stiffness tensor. Together, these parameters implicitly account for variations in clay and fluid properties, as well as fluid saturation. Elastic stiffnesses of clay platelets are obtained from the literature, including both experimental measurements and first-principles calculations of the full anisotropic (monoclinic or triclinic) elastic stiffness tensors of layered silicates. These published elastic stiffness tensors are used to compile a database of equivalent transverse isotropic elastic stiffness tensors, and other physical properties, for eight common varieties of layered silicates. Clay matrix anisotropy is then investigated by examining the influence of these different elastic stiffnesses, and of varying model parameters, upon the effective transverse isotropic elastic stiffness tensor of the clay matrix. The relationship between the different clay minerals and their associated anisotropy parameters is studied, and their impact on the resulting anisotropy of the clay matrix is analysed.     

Influence of Bedding and Mineral Composition on Mechanical Properties and Its Implication for Hydraulic Fracturing of Shale Oil Reservoirs

The premise of hydraulic fracturing is to have an accurate and detailed understanding of the rock mechanical properties and fracture propagation law of shale reservoirs. In this paper, a comprehensive evaluation of the mechanical properties of the shale oil reservoir in the south of Songliao Basin is carried out. Based on the experiments and the in-situ stress analysis, the fracture propagation law of three types of shale reservoirs is obtained, and the suggestions for fracturing are put forward. The results have shown that the fracture propagation of pure shale and low mature reservoir is easy to open along the bedding plane under compression loading, which is greatly influenced by the bedding. Sand-bearing shale is slightly better, the fractures of which are not easy to open along the bedding plane. The mechanical experimental results show that all the samples have the characteristics of low compressive strength, low Young''s modulus and strong anisotropy, indicating that the shale oil reservoir is certain plastic, which is related to its high clay mineral content and controlled by the bedding development. Compared with pure shale and low mature shale, the sand-bearing shale has less clay content and less developed bedding, which maybe the main reason for its slightly better brittleness. Overall, the expansion of hydraulic fracture is controlled by in-situ stress and bedding. Because of the development of bedding, it is easy to form horizontal fractures. Thus it is not suitable for horizontal well fracturing. Because of the high content of clay minerals, the applicability of conventional slick hydraulic fracturing fluid is poor. It is suggested to use vertical well or directional well to carry out volume fracturing. In this way, the effect of bedding can be effectively used to open and connect the bedding and form a larger fracture network.     

Compaction trend versus seismic anisotropy in shaly formations

Shales comprise more than 60% of sedimentary rocks and form natural seals above hydrocarbon reservoirs. Their sealing capacity is also used for storage of nuclear wastes. The world's most important conventional oil and gas reservoirs have their corresponding source rocks in shale. Furthermore, shale oil and shale gas are the most rapidly expanding trends in unconventional oil and gas. Shales are notorious for their strong elastic anisotropy, i.e., so‐called vertical transverse isotropy. This vertical transverse isotropy, characterised by a vertical axis of invariance, is of practical importance as it is required for correct surface seismic data interpretation, seismic to well tie, and amplitude versus offset analysis. A rather classical paradigm makes a clear link between compaction in shales and the alignment of the clay platelets (main constituent of shales). This would imply increasing anisotropy strength with increasing compaction. Our main purpose is to check this prediction on two large databases in shaly formations (more than 800 samples from depths of 0–6 km) by extracting the major trends in the relation between seismic anisotropy and compaction. The statistical analysis of the database shows that the simultaneous increase in density and velocity, a classical compaction signature, is quite weakly correlated with the anisotropy strength. As a consequence, compaction can be excluded as a major cause of seismic anisotropy, at least in shaly formations. Also, the alignment of the clay platelets can explain most of the anisotropy measurements of both databases. Finally, a method for estimating the orientation distribution function of the clay platelets from the measurement of the anisotropy parameters is suggested.