基于各向异性梯度的裂缝密度反演

裂缝密度是评价裂缝性储层的重要参数. 本文提出一种利用各向异性梯度计算裂缝密度的新方法,即运用裂缝介质等效理论将高陡倾角裂缝介质等效为横向各向同性介质,得到裂缝介质AVO响应特征,从而得到裂缝介质的各向异性梯度,之后由该梯度与裂缝密度的关系得到裂缝介质的裂缝密度. 实际处理中可以根据地震数据直接求取裂缝介质的各向异性梯度,最后求取裂缝介质的裂缝密度. 模型试算表明, 该方法能得到裂缝介质准确的裂缝密度. 反演结果与初始模型基本一致验证了该方法的正确性; 另外地震记录添加一定的信噪比后也能反演得到准确的裂缝密度,证明了该方法的稳定性.      

含流体裂缝介质中地震波场数值模拟

油气勘探开发实践证明,裂缝常常是油气藏存储的空间或运移的通道,因此,裂缝各向异性介质中地震波场的研究越来越倍受关注,国内外很多岩石物理学者、地球物理专家等对裂缝信息的描述提出了很多理论认识与方法技术.本文根据Eshelby-Cheng各向异性裂缝介质模型理论,求取各向异性裂缝介质的弹性参数,并建立Eshelby-Cheng各向异性裂缝介质的波动方程,利用时间错格伪谱法对含流体裂缝介质进行数值模拟,模拟结果表明,采用时间错格伪谱法能有效解决各向异性介质的波场传播,利用时间错格有限差分算子替代普通的差分算子来求解时间导数,利用快速傅氏变换求解空间导数,大大提高了正演模拟的计算精度与计算效率.并且与各向同性介质相比,地震波在含流体裂缝各向异性介质中的传播要复杂得多,各向同性介质层中的波是纯的,其横波不会发生分裂,而在各向异性介质层中,横波将发生分裂.     

多组垂直裂缝诱导各向异性的HTI近似及其特征分析

在裂缝诱导各向异性理论研究中通常使用等效HTI介质来近似多组裂缝所引起的综合效应.由于构造运动的复杂性,多组裂缝普遍存在于地壳与油气储层中.为了研究多组裂缝的地震属性特征,分析常用的等效HTI模型对于多组裂缝近似精度及附加裂缝对介质属性特征的影响,本文利用线性滑移模型进行了多组垂直裂缝的单斜各向异性等效介质理论计算,并利用空间搜索方法求取与其最为接近的HTI介质各向异性弹性参数.重点研究了在两种各向异性介质中纵波速度、快慢横波速度和极化特征及其差异,量化分析附加裂缝对于地震属性如速度、极化方向和走时等的影响,研究对附加裂缝敏感的地震属性.此研究结果和方法为进一步研究多组裂缝的反演及识别方法提供基础,同时对于将高阶对称性各向异性介质中已存在的计算方法应用于低阶对称性时的适用程度、精度分析及相关方法研究具有重要作用.     

背景为各向异性的含裂缝岩石频散和衰减计算方法研究

裂缝广泛分布于各类储层岩石中,并且会显著提高储层的渗流能力.因此,裂缝的评价和表征对于提高油气产能具有重要意义.由于裂缝与背景介质之间的波致流会显著影响地震波的频散和衰减特性,所以地震勘探是评价裂缝性储层的有效手段.裂缝地震定量表征的前提是要基于含裂缝岩石中波致流对频散和衰减的影响建立含裂缝岩石物理特性与地震性质的关系.然而,目前相关的理论研究大部分基于各向同性背景这一假设,难以有效应用于常见的各向异性储层.本文针对背景为各向异性的含裂缝岩石提出了频散和衰减的计算方法.该方法首先将含裂缝岩石中的各向异性背景介质等效为层状背景介质;然后,通过分析不同频率下层状含裂缝岩石中的流体压力分布,理论计算了两个特定的中间频率并求解得到两个中间频率下的弹性参数;进一步,以计算得到的两个特定中间频率以及高低频极限下的弹性参数为基础,应用数值方法求解得到弛豫函数中的未知参数,最终实现了背景为各向异性含裂缝岩石中频散和衰减的理论模拟.通过将理论预测结果与实验测量和数值模拟结果进行对比,验证了该方法在背景为各向异性含不同分布裂缝岩石中的有效性.本文提出的方法考虑了常见的各向异性背景对含裂缝岩石频散和衰减的影...     

一种基于3D复杂介质的弹性建模数值方法

储层中的裂隙会导致介质表现出各向异性.传统等效介质方法假定储层可以被等效成为横向各向同性介质,不适用于复杂裂缝储层的弹性等效建模和各向异性特征分析.本文在前人研究基础上,利用最小二乘方法开展3D复杂裂隙弹性等效数值模拟研究,并与常规等效介质理论方法进行比较,验证数值方法的精确性.数值方法不仅能有效避免Hudson理论和Eshelby-Cheng理论等解析方法在大裂隙密度条件下的参数估计误差,而且兼顾裂隙扰动作用对等效介质参数的影响.数值研究表明,数值方法能够较好地描述复杂裂缝介质的各向异性特征,为复杂裂缝储层地震波各向异性参数反演提供依据.     

基于地震正交各向异性的裂缝介质岩石力学建模研究

岩石力学模型是描述地层原地应力状态的基础,而常规各向同性模型难以刻画地层本征横观各向同性(VTI)和天然高角度裂缝的耦合作用,建立更为准确的正交各向异性模型变得尤为重要.本文利用VTI介质中发育单组垂直缝的Schoenberg裂缝等效模型,简化了一般正交各向异性介质的表征参数,推导了由背景VTI介质弹性参数和裂缝参数的各向异性杨氏模量、泊松比和水平地应力的精确方程.借鉴Thomsen弱各向异性近似思路,舍去裂缝弱度参数高阶扰动项,推导了正交各向异性介质岩石力学近似方程,由裂缝弱度表示的近似方程更为直观地反映了裂缝对背景介质力学性质的影响,杨氏模量和泊松比值随裂缝法向弱度的增大而显著减小.选取页岩实验数据进行数值实验,结果表明本文方程与实际物理规律相吻合,随裂缝弱度的增加,形成相同应变所需的水平地应力值降低,且近似方程与模拟结果相对误差小于5%,有助于提高岩石力学参数估算和地应力预测精度.     

岩石物理驱动的储层裂缝参数与物性参数概率地震反演方法

长波长假设条件下,各向同性背景地层中发育一组平行排列的垂直裂缝可等效为具有水平对称轴的横向各向同性（HTI）介质.基于不同观测方位的岩石地震响应特征变化,宽方位地震数据不仅可实现裂缝岩石弹性参数与各向异性参数的预测,同时也蕴含着丰富的孔隙度等储层物性参数信息.本文结合实际地震资料提出了贝叶斯框架下岩石物理驱动的储层裂缝参数与物性参数概率地震联合反演方法,首先基于AVAZ反演裂缝岩石的弹性参数与各向异性参数,并在此基础上通过统计岩石物理模型表征孔隙度、裂缝密度等各向异性介质储层参数与裂缝岩石参数的相互关联,并采用马尔科夫链蒙特卡洛（MCMC）抽样方法进行大量样本的随机模拟,使用期望最大化（EM）算法估计后验条件概率分布,最终寻找最大后验条件概率对应的孔隙度、裂缝密度等HTI裂缝介质储层参数即为反演结果.测井及实际地震数据处理表明,该方法能够稳定合理地从方位地震资料中获取裂缝岩石弹性参数与各向异性参数,并提供了一种较为可靠的孔隙度、裂缝密度等裂缝介质储层参数概率地震反演方法.     

裂缝型HTI介质的纵波弹性阻抗

裂缝发育导致的地震波场各向异性,是裂缝型油气藏的一个重要特征.然而针对该类油气藏的叠前弹性阻抗技术,一直没有通过各向异性弹性阻抗公式建立与裂缝参数的直接关系.本文在回顾封闭平行硬币状裂缝模型和线性滑动模型的基础上,将裂缝填充物性质、分布密度与围岩的横纵波速度比,引入裂缝型HTI介质弹性阻抗公式,并对相应的归一化弹性阻抗响应特征进行模拟分析.分析表明,弹性阻抗受以上三参数的影响规律存在明显差异,其中含气裂隙介质随裂缝密度的变化要明显高于对应的流体裂隙介质,流体填充裂隙介质随横、纵波速度比的变化幅度要高于对应的含气裂隙介.该结论初步为裂缝型油气藏流体识别工作提供了依据.     

基于叠前全方位角道集方位振幅梯度各向异性变化的HTI裂缝介质油气检测方法与技术

高角度裂缝介质的反射振幅梯度是随方位变化的,常规AVO分析只能适应层状各向同性介质地下地层含油气性检测,很难适应HTI裂缝各向异性介质地层的油气检测.为此,本文提出了基于叠前全方位角道集方位振幅梯度各向异性变化的HTI裂缝介质油气检测方法,推导出以方位角为变量的方位振幅梯度变化函数,并以之为参变量进一步推导出以入射角为变量的,随方位变化而变化的双向振幅响应强度变化函数,同时推导出方位油气指示因子.通过变量拆分法先固定方位方向,通过该方位角道集振幅随入射角的变化求解该方位振幅梯度,继而求出该方位的油气指示因子;依次类推,可求出其余方位的油气指示因子.如此可求出所有方位的油气指示因子,进而可分析含油气指示敏感性随方位的变化,优选油气指示最敏感的方位作为最终的油气预测结果即可.实际工区应用结果表明,本方法预测结果可靠精度高,可为油气勘探开发提供有效的技术支持.     

非均匀正交各向异性特征参数地震散射反演方法研究

在长波长假设条件下,水平层状地层中发育一组垂直排列的裂缝构成了等效正交各向异性介质.各向异性参数与裂缝弱度参数的估算有助于非均匀各向异性介质的各向异性特征描述,而弹性逆散射理论是非均匀介质参数反演的有效途径.基于地震散射理论,我们首先推导了非均匀正交介质中纵波散射系数方程,并通过引入正交各向异性特征参数,提出了一种新颖的正交各向异性方位弹性阻抗参数化方法.为了提高反演的稳定性与横向连续性,我们发展了贝叶斯框架下的正交各向异性方位弹性阻抗反演方法,同时考虑了柯西稀疏约束正则化和平滑模型约束正则化,最终使用非线性的迭代重加权最小二乘策略实现了各向异性特征参数的稳定估算.模型和实际资料处理表明,反演结果与测井解释数据相吻合,证明了该方法能够稳定可靠地从方位叠前地震资料中获取各向异性特征参数,减小参数估算的不确定性,为非均匀正交介质的各向异性预测提供了一种高可靠性的地震反演方法.     

非穿透裂纹平板试件三维破裂的实验研究

在研究地震孕育及震源破裂的问题时,用三维破裂来模拟地震破裂过程,比二维破裂与实际更加接近。我们设计了一组实验,采用几种不同的材料（玻璃、有机玻璃和大理石等）做成平板试件,在其中心预制非穿透裂纹,并在单轴压下进行了实验研究。 实验结果表明,非穿透裂纹与穿透裂纹的扩展情况有质的差别。非穿透裂纹的扩展并不沿原裂纹面延伸,而是沿裂纹前缘扩展出许多裂纹面,每一个破裂面都是复杂的扭曲、拐折的曲面。这可能意味着实际地震断层的扩展情况也是极为复杂的。     

裂缝型储层流体识别方法

裂缝型储层的描述包括预测裂缝分布特征和识别裂隙充填物.依据等效介质理论计算的纵波速度随裂缝密度的增大而减小.正演地震记录显示,裂缝介质含气时反射振幅最大,且变化程度比含油或含水时大.叠前方位AVO反演所得的各向异性梯度Bani与裂缝密度成正比,可用于描述有效裂缝发育强度.对于不同的裂缝密度,各向异性梯度Bani与各向同性梯度Biso的比值I(1)fluid近似为常数,且对流体敏感.经裂缝纵横比和背景介质拉梅常数修正后,流体因子Ifluid既不随纵横比变化,又不受背景介质的影响,是裂缝型储层敏感的流体识别因子.在塔里木盆地塔北哈拉哈塘地区热瓦普区块碳酸盐岩储层裂缝发育区域,运用该参数在井点处的流体识别效果与钻井结果一致.     

利用地震叠前数据预测火山岩裂缝的方法和效果分析——以松辽盆地北部徐家围子断陷营城组火山岩为例

裂缝问题是火山岩复杂岩性油气藏勘探开发中必须考虑的重要因素之一.火山岩储层裂缝预测的准确性直接影响着油气的产能、钻井工艺和增产改造措施等.本文主要根据等效HTI介质(扩容各向异性介质)的特性,立足地下介质各向异性理论,利用三维地震叠前P波在HTI介质中的属性分布特征来检测裂缝的发育情况.利用三维地震叠前P波裂缝检测技术在松辽盆地北部徐家围子断陷深层营城组火山岩中尝试开展了储层裂缝发育预测研究.通过研究建立了火山岩裂缝地震叠前预测方法,并对营城组火山岩裂缝发育情况进行预测,结果表明裂缝主要分布在工区中部构造高部位,发育方向以北北西向为主.最后利用测井资料和钻井产能资料等进行效果分析,证实该技术对于认识火山岩储层裂缝发育具有实际应用价值,说明应用地震资料开展储层裂缝预测具有横向分辨率高、实现井间分布描述和宏观空间分布规律清楚等特点.     

Effects of pore fluid pressure on the seismic response of a fractured carbonate reservoir

An effective medium model for the stress-dependent seismic properties of fractured reservoirs is developed here on the basis of a combination of a general theory of viscoelastic waves in rock-like composites with recently published formulae for deformation of communicating and interacting cavities (interconnected pores/cracks and fractures at finite concentration) under drained loading. The inclusion-based model operates with spheroidal cavities at two different length scales; namely, the microscopic scale of the pores and (grain-boundary) cracks, and the mesoscopic scale of the fractures (controlling the flow of fluid). The different cavity types can in principle have any orientation and aspect ratio, but the microscopic pores/cracks and mesoscopic fractures were here assumed to be randomly and vertically oriented, respectively. By using three different aspect ratios for the relatively round pores (representing the stiff part of the pore space) and a distribution of aspect ratios for the relatively flat cracks (representing the compliant part of the pore space), we obtained a good fit between theoretical predictions and ultrasonic laboratory measurements on an unfractured rock sample under dry conditions. By using a single aspect ratio for the mesoscopic fractures, we arrived at a higher-order microstructural model of fractured porous media which represents a generalization of the first-order model developed by Chapman et al. (2002,2003). The effect of cavity size was here modelled under the assumption that the characteristic time for wave-induced (squirt) flow at the scale of a particular cavity (pore/crack vs. fracture) is proportional with the relevant scale-size. In the modelling, we investigate the effect of a decreasing pore pressure with constant confining pressure (fixed depth), and hence, increasing effective pressure. The analysis shows that the attenuation-peak due to the mesoscopic fractures in the reservoir will move downward in frequency as the effective pressure increases. In the range of seismic frequencies, our modelling indicates that the P-wave velocities may change by more than 20% perpendicular to the fractures and close to 10% parallel to the fractures. In comparison, the vertical S-wave velocities change by only about 5% for both polarization directions (perpendicular and parallel to the fractures) when the effective pressure increases from 0 to 15 MPa. This change is mainly due to the overall change in porosity with pressure. The weak pressure dependence is a consequence of the fact that the S waves will only sense if the fractures are open or not, and since all the fractures have the same aspect ratio, they will close at the same effective pressure (which is outside the analysed interval). Approximate reflection coefficients were computed for a model consisting of the fractured reservoir embedded as a layer in an isotropic shale and analysed with respect to variations in Amplitude Versus Offset and aZimuth (AVOZ) properties at seismic frequencies for increasing effective pressure. For the P-P reflections at the top of the reservoir, it is found that there is a significant dependence on effective pressure, but that the variations with azimuth and offset are small. The lack of azimuthal dependence may be explained from the approximate reflection coefficient formula as a result of cancellation of terms related to the S-wave velocity and the Thomson’s anisotropy parameter δ. For the P-S reflection, the azimuthal dependence is larger, but the pressure dependence is weaker (due to a single aspect ratio for the fractures). Finally, using the effective stiffness tensor for the fractured reservoir model with a visco-elastic finite-difference code, synthetic seismograms and hodograms were computed. From the seismograms, attenuation changes in the P wave reflected at the bottom of the reservoir can be observed as the effective pressure increases. S waves are not much affected by the fractures with respect to attenuation, but azimuthal dependence is stronger than for P waves, and S-wave splitting in the bottom reservoir P-S reflection is clearly seen both in the seismograms and hodograms. From the hodograms, some variation in the P-S reflection with effective pressure can also be observed.     

基于断裂力学和有限元的碾压混凝土坝劈头裂缝扩展的应力计算研究

混凝土坝的劈头裂缝属于断裂力学中描述的张开型（I型）裂缝。劈头裂缝应力计算中,强度因子KI和材料开裂韧度KIC是判断劈头裂缝扩展的关键参数。采用断裂力学的基本理论推导裂缝应力计算的基本公式,并借助有限元来确定强度因子和材料开裂韧度,对寒冷地区实际工程坝体裂缝进行计算,得出运行期4日型寒潮期和不同运行时段的温度裂缝长度和强度因子。通过对比发现,计算结果与大坝运行期不同工况裂缝的实际情况相符合,验证了方法的正确性。     

基于叠前方位振幅的大港—埕海地区奥陶系风化壳裂缝储层的叠前预测

P波通过裂缝地层传播时,其响应会随着地面观测方位的变化而变化,表现出明显的方位各向异性.这种随方位变化的裂缝响应信息(如振幅等)广泛存在于叠前方位一偏移距二维空间域中,检测此域中的裂缝响应,通过椭圆拟合的方法识别各向异性的存在,进而计算裂缝的方向——椭圆长轴的方向,和裂缝密度——椭圆长轴与短轴的比.本文研究出了一种基于常规叠前地震反射振幅来检测裂缝的三维叠前裂缝储层预测方法.它采用面元组合的方法扩大方位角和偏移距范围;采用多级数据控制技术获取所需的信息;采用稳妥的技术步骤来预测.通过大港油田实际工区的应用,结果表明本文研究出的方法技术应用效果好、精度高、经济实用.     

Thermally induced brittle deformation in oceanic lithosphere and the spacing of fracture zones

Brittle deformation of oceanic lithosphere due to thermal stress is explored with a numerical model, with an emphasis on the spacing of fracture zones. Brittle deformation is represented by localized plastic strain within a material having an elasto-visco-plastic rheology with strain softening. We show that crustal thickness, creep strength, and the rule governing plastic flow control the formation of cracks. The spacing of primary crack decreases with crustal thickness as long as it is smaller than a threshold value. Creep strength shifts the threshold such that crust with strong creep strength develops primary cracks regardless of crustal thicknesses, while only a thin crust can have primary cracks if its creep strength is low. For a thin crust, the spacing of primary cracks is inversely proportional to the creep strength, suggesting that creep strength might independently contribute to the degree of brittle deformation. Through finite versus zero dilatation in plastic strain, associated and non-associated flow rule results in nearly vertical and V-shaped cracks, respectively. Changes in the tectonic environment of a ridge system can be reflected in variation in crustal thickness, and thus related to brittle deformation. The fracture zone-free Reykjanes ridge is known to have a uniformly thick crust. The Australian-Antarctic Discordance has multiple fracture zones and thin crust. These syntheses are consistent with enhanced brittle deformation of oceanic lithosphere when the crust is thin and vice versa.     

Sensitivity of reflection seismic data to oil-column height in high-porosity sandstones

Tuning is the effect of interference between the reflections from the top and bottom of a thin layer on the amplitude of the composite reflection. For a homogeneous sandstone reservoir containing an oil column overlying brine, interference between the reflection from the top reservoir and the oil/water contact is a function of the height of the oil column. If the properties of the sandstone do not vary across the oil/water contact, the SS, PS and SP reflection coefficients from the oil/water contact are small in comparison to the PP reflection coefficient. This allows analytic expressions for the effective PP and PS reflection coefficients from the reservoir to be derived that include all P‐wave multiples within the oil column. For a given source/receiver offset, the component of the wavevector inside the oil column normal to the interface is larger for the PPPP reflection than for the PPPS reflection, due to the asymmetry in the raypath for the PPPS reflection. The PPPS reflection is therefore useful for determining oil‐column heights larger than that discriminated by the PPPP reflection, especially when used at wider offsets. A convenient classification of the AVO response of hydrocarbon‐bearing sandstone reservoirs overlain by shale is the scheme of Rutherford and Williams. Class 1 sands have higher acoustic impedance for normal incidence than the overlying shale, Class 2 sands have nearly the same acoustic impedance as the shale and Class 3 sands have lower acoustic impedance. Synthetic shot gathers calculated for these three classes as a function of oil‐column height show that a combination of the PPPP and the PPPS amplitudes can be plotted as a tuning trajectory, which can be used to determine the oil‐column height. This method is most sensitive for reservoirs that belong to AVO classes 1 and 2, and therefore may be useful in AVO analysis of Class 1 and 2 reservoirs where the traditional AVO indicators (developed for Class 3 reservoirs) do not work very well. These results demonstrate the usefulness of shear waves recorded in the marine environment at wide offsets.     

The effect of orthorhombic anisotropy and its implication for oil recovery and reservoir exploitation

Results of an experimental study of shear‐ and compressional‐wave propagation in an orthorhombically anisotropic medium are presented. The experiments were performed on a physical model consisting of two sets of fractures. The first set consisted of orientated rubber inclusions simulating weak material‐filled cracks. The second set consisted of a system of closely spaced parallel fractures simulated by thin plates of epoxy resin, superimposed orthogonally on the first set. Three cases of fracture orientations within the model were identified and studied. Case 1 is analogous to a jointed fracture reservoir with one vertical set of fluid‐filled cracks or fractures and one non‐filled horizontal set. This case is referred to as JFV. Case 2 is analogous to a double fracture reservoir with one horizontal set of fluid‐filled fractures or cracks and one non‐filled vertical set. This is referred to as DFH. Case 3 is analogous to a double fracture reservoir with two vertical sets of fractures or cracks, with only one fluid‐filled. Case 3 is referred to as DFV. A pulse transmission method was performed on all three modelled cases along the three principal axes. A directional variation in the compressional‐ and shear‐wave velocities, as well as distinct shear‐wave splitting, was observed. The elastic constants for each case were determined and differences between them were noted and compared with the controlled results of both layered (transverse isotropy, TI) and vertically fractured (azimuthally anisotropic models, VF) media. The differences in elastic moduli and velocities indicate the potential of recognizing the different fracture orientations and suggest an approach to designing a method of drilling to further enhance oil recovery and reservoir exploitation.