岩体裂隙网络非线性渗流特性研究

基于人工交叉裂隙模型,通过室内透水试验,利用电荷耦合元件（CCD）照相机可视化技术,对流体在裂隙交叉点内的非线性流动特性进行研究。建立两种离散裂隙网络（DFN）模型,考虑两种边界条件,改变模型进口和出口之间的压力,直接求解Navier-Stokes（简称N-S）方程,对DFN的非线性渗流特性进行研究。结果表明,室内试验可以观测到与出口3相连的裂隙单元内发生了明显的非线性流动,且通过模型的流量Q和模型两端的压力P具有非线性关系。数值计算结果也表明,在水力梯度J较大时（比如J > 0.1）,通过DFN的Q和P具有非线性关系,而当J较小时（比如J < 10-4）,Q与P线性相关;根据文中的算例,建议利用局部立方定律求解DFN内每条裂隙的渗流特性的临界条件为J ≤10-4;裂隙表面粗糙会造成通过DFN渗流量的降低,但对相对流量误差的影响可忽略不计。     

考虑应力历史的岩石单裂隙渗流特性试验研究

通过开展单裂隙花岗岩不同围压加、卸载和不同水力梯度作用下的渗透试验,研究应力历史对裂隙渗透性能演化的影响。试验结果表明：在围压加载过程中,渗流流量与渗透压差大致呈线性关系;在渗透压差相同的条件下,围压越小,流量越大,随着围压上升,裂隙渗流流量持续减小,但随着围压的进一步增大,流量的减小有减缓的趋势。在围压相同以及渗透压差相同的条件下,单裂隙花岗岩在卸载条件下的渗流特性与加载条件下相比,其渗流流量明显降低,且卸载过程中渗流流量与渗透压差开始偏离线性关系。从试验前、后裂隙面粗糙度系数值的对比可以看出,由于法向应力挤压以及渗流流体的冲蚀作用,试验后裂隙面粗糙度系数明显降低。卸载的过程中,裂隙渗透性能的恢复具有明显的滞后效应,表明在法向应力和流体冲蚀的共同作用下,裂隙产生了不可恢复的非弹性变形。     

基于离散裂隙网络模型的裂隙水渗流计算

离散裂隙网络模型(Discrete Fracture Network（DFN）)是研究裂隙水渗流最为有效的手段之一。文章根据裂隙几何参数和水力参数的统计分布,利用Monte Carlo随机模拟技术生成二维裂隙网络,基于图论无向图的邻接矩阵判断裂隙网络的连通,利用递归算法提取出裂隙网络的主干网或优势流路径。基于立方定律和渗流连续性方程,利用数值解析法建立了二维裂隙网络渗流模型,分析不同边界条件下裂隙网络中的流体流动。结果表明,该方法可以模拟区域宏观水力梯度和边界条件下,裂隙网络水力梯度方向总的流量,以及节点的水位、节点间的流量和流动方向的变化特征,为区域岩溶裂隙水渗流计算提供了一种实用、可行的方法。      

Similarity solutions for wedge-shaped hydraulic fractures driven into a permeable medium by a constant inlet pressure

Similarity solutions are derived for wedge-shaped hydraulic fractures driven by a constant inlet pressure P₀ into a permeable medium under a uniform confining stress σ. These results describe the seepage-dominated regime in which most of the injected fluid is lost into the permeable walls of the fracture; they complement previous results for the capacitance-dominated regime in which seepage is negligible. Fracture propagation velocity is obtained as an analytical function of fracture length, driving pressure, confining stress, material properties and a single separation constant or eigenvalue which is determined numerically. Self-similar profiles of pressure, opening displacement and fluid velocity along the fracture are presented, together with the self-similar isobars of the two-dimensional pressure field within the permeable medium. Comprehensive results are reported for laminar or turbulent flow of a constant-compressibility liquid or an ideal gas driven by overpressures (P₀?σ)/σ ranging from 10^?2 to 10².     

地应力对破裂压力和水力裂缝影响的试验研究

为研究水力压裂时地应力对破裂压力和水力裂缝的影响规律,采用水力压裂试验系统,以相似材料作为研究对象,进行了水力压裂物理模拟试验,并借助煤岩断面三维扫描系统、位移计提取了水力裂缝信息。试验结果表明,随着主应力差的增大,破裂压力逐渐降低,破裂时间也逐渐缩短;随着主应力差的增大,破裂面的表面积逐渐增加,破裂面变得逐渐粗糙;围压相近时水力裂缝易出现转向、分叉,压裂液的动力效应越明显;水力裂缝张开度随着主应力差的增大而逐渐减小。研究结果可为水力压裂试验的进一步研究、裂缝网络系统的建立提供参考。     

A methodology to constrain the parameters of a hydrogeological discrete fracture network model for sparsely fractured crystalline rock,exemplified by data from the proposed high-level nuclear waste repository site at Forsmark,Sweden

The large-scale geological structure of the crystalline rock at the proposed high-level nuclear waste repository site at Forsmark, Sweden, has been classified in terms of deformation zones of elevated fracture frequency. The rock between deformation zones was divided into fracture domains according to fracture frequency. A methodology to constrain the geometric and hydraulic parameters that define a discrete fracture network (DFN) model for each fracture domain is presented. The methodology is based on flow logging and down-hole imaging in cored boreholes in combination with DFN realizations, fracture connectivity analysis and pumping test simulations. The simulations suggest that a good match could be obtained for a power law size distribution where the value of the location parameter equals the borehole radius but with different values for the shape parameter, depending on fracture domain and fracture set. Fractures around 10–100 m in size are the ones that typically form the connected network, giving inflows in the simulations. The report also addresses the issue of up-scaling of DFN properties to equivalent continuous porous medium (ECPM) bulk flow properties. Comparisons with double-packer injection tests provide confidence that the derived DFN formulation of detailed flows within individual fractures is also suited to simulating mean bulk flow properties and their spatial variability.     

Regional fracture network permeability using outcrop scale measurements

Estimating the hydraulic properties of fractured aquifers is challenging due to the complexity of structural discontinuities that can generally be measured at a small scale, either in core or in outcrop, but influence groundwater flow over a range of scales. This modeling study uses fracture scanline data obtained from surface bedrock exposures to derive estimates of permeability that can be used to represent the fractured rock matrix within regional scale flow models. The model is developed using PETREL, which traditionally benefits from high resolution data sets obtained during oil and gas exploration, including for example seismic data, and borehole logging data (both lithological and geophysical). The technique consists of interpreting scanline fracture data, and using these data to generate representative Discrete Fracture Network (DFN) models for each field set. The DFN models are then upscaled to provide an effective hydraulic conductivity tensor that represents the fractured rock matrix. For each field site, the upscaled hydraulic conductivities are compared with estimates derived from pumping tests to validate the model. A hydraulic conductivity field is generated for the study region that captures the spatial variability of fracture networks in pseudo-three dimensions from scanline data. Hydraulic conductivities estimated using this approach compare well with those estimated from pumping test data. The study results suggest that such an approach may be feasible for taking small scale fracture data and upscaling these to represent the aquifer matrix hydraulic properties needed for regional groundwater modeling.     

基于FEMM-Fracflow研究缝洞型油藏中裂缝扩展问题

在缝洞型油藏中,水力裂缝的偏转路径对石油的开采量有重要的影响。Hybrid Finite-element and Mesh-free Method-Fracflow（FEMM-Fracflow）数值模拟平台,通过数值实验,文章分析了缝洞型油藏中自然溶洞、水平地应力以及注水流速三种因素对水力裂缝偏转路径的影响。结果表明,在存在溶洞时,裂缝明显向溶洞方向偏转;在改变水平围压时,不施加水平围压条件下,裂缝明显偏向溶洞方向扩展,并且最终与溶洞连通;而在施加50 MPa水平围压时,水力裂缝偏向溶洞的趋势明显减弱;在改变流速时,当流速为0.05 kg/s,裂缝明显向溶洞方向偏转,而当流速为0.2 kg/s,裂缝向溶洞方向偏转的趋势则减弱。      

The relationship between regional stress field,fracture orientation and depth of weathering and implications for groundwater prospecting in crystalline rocks

In a uniform granite gneiss study area in central Zimbabwe, lineaments oriented parallel to the maximum regional compressive stress orientation exhibit the thickest regolith development, while lineaments oriented perpendicular to the maximum compressive stress show the shallowest development of weathered regolith. The principal fracture set orientations were mapped using aerial imagery. The regional stress field, estimated from global stress maps, was used to determine the stresses acting on each principal lineament orientation. Multi-electrode resistivity profiling was carried out across fractures with different orientations to determine their subsurface regolith conditions. The results indicate that the 360 and 060° lineaments, which are sub-parallel to the principal compressive stress orientation (σ₁) exhibit maximum development of the regolith, while 130° lineaments perpendicular to σ₁ do not exhibit significant regolith development. Since regolith thickness has been positively correlated with groundwater resources, it is suggested that fractures with orientations sub-parallel to the principal compressive stress direction constitute favourable groundwater targets. Knowledge of the regional stress field and fracture set orientations can be used as an effective low cost tool for locating potentially higher yielding boreholes in crystalline rock terrains.     

砂砾岩液态CO2破裂机制试验研究

砂砾岩储层一般较为致密,且非均匀性强,常规压裂方法压裂效果不理想。液态CO2（L-CO2）压裂是近年来提出的一种压裂增产手段,压裂效果上具有明显的优势。采用井底岩芯开展不同围压下清水和L-CO2压裂试验,并结合?CT扫描和核磁共振试验,比较两种压裂方式在破裂压力、破裂特征和裂缝分布的差异,深入分析砂砾岩L-CO2压裂的破裂机制。发现相同围压下L-CO2可大幅度降低破裂压力,且增大围压,L-CO2和清水压裂的破裂压力相差越大;?CT扫描显示,L-CO2压裂形成的是不规则的多分支裂缝,与主裂缝共同构成复杂裂缝网络,L-CO2压裂的裂缝体积是远大于清水压裂。核磁共振（NMR）结果发现,L-CO2压裂中破裂以贯通砾石颗粒界面微裂纹的方式为主,剪切激活机制占主导作用,而清水压裂以形成张拉的单一裂缝方式为主。L-CO2压裂获得更好的裂缝网络主要与砂砾岩中砾石颗粒造成的非均匀性有关,并影响着裂缝网络的复杂性。相关的研究成果可为砂砾岩储层改造和增产增效工艺优化提供指导。     

Propagation of a hydraulic fracture parallel to a free surface

This paper analyses the plane strain problem of a fracture, driven by injection of an incompressible viscous Newtonian fluid, which propagates parallel to the free surface of an elastic half‐plane. The problem is governed by a hyper‐singular integral equation, which relates crack opening to net pressure according to elasticity, and by the lubrication equations which describe the laminar fluid flow inside the fracture. The challenge in solving this problem results from the changing nature of the elasticity operator with growth of the fracture, and from the existence of a lag zone of a priori unknown length between the crack tip and the fluid front. Scaling of the governing equations indicates that the evolution problem depends in general on two numbers, one which can be interpreted as a dimensionless toughness and the other as a dimensionless confining stress. The numerical method adopted to solve this non‐linear evolution problem combines the displacement discontinuity method and a finite difference scheme on a fixed grid, together with a technique to track both crack and fluid fronts. It is shown that the solution evolves in time between two asymptotic similarity solutions. The small time asymptotic solution corresponding to the solution of a hydraulic fracture in an infinite medium under zero confining stress, and the large time to a solution where the aperture of the fracture is similar to the transverse deflection of a beam clamped at both ends and subjected to a uniformly distributed load. It is shown that the size of the lag decreases (to eventually vanish) with increasing toughness and compressive confining stress. Copyright © 2005 John Wiley & Sons, Ltd.     

Estimating regional-scale fractured bedrock hydraulic conductivity using discrete fracture network (DFN) modeling

Estimating bedrock hydraulic conductivity of regional fractured aquifers is challenging due to a lack of aquifer testing data and the presence of small and large-scale heterogeneity. This study provides a novel approach for estimating the bedrock hydraulic conductivity of a regional-scale fractured bedrock aquifer using discrete fracture network (DFN) modeling. The methodology is tested in the mountainous Okanagan Basin, British Columbia, Canada. Discrete fractures were mapped in outcrops, and larger-scale fracture zones (corresponding to lineaments) were mapped from orthophotos and LANDSAT imagery. Outcrop fracture data were used to generate DFN models for estimating hydraulic conductivity for the fractured matrix (K _m). The mountain block hydraulic conductivity (K _mb) was estimated using larger-scale DFN models. Lineament properties were estimated by best fit parameters for a simulated pumping test influenced by a fracture zone. Unknown dip angles and directions for lineaments were estimated from the small-scale fracture sets. Simulated K _m and K _mb values range from 10^–8 to 10^–7?m/s and are greatest in a N–S direction, coinciding with the main strike direction of Okanagan Valley Fault Zone. K _mb values also decrease away from the fault, consistent with the decrease in lineament density. Simulated hydraulic conductivity values compare well with those estimated from pumping tests.     

生活垃圾焚烧炉渣在饱和状态下的强度特性

城市生活垃圾焚烧炉渣具有活性,饱和炉渣的剪切强度随时间增加而增加。本文采用常规三轴试验测试饱和炉渣的剪切强度,围压σ₃分别为50kPa、100kPa、200kPa和400kPa,试样的干密度ρ_d分别为1.4g·cm-3、1.5g·cm-3和1.6g·cm-3,龄期t分别为3d、7d、14d和28d。三轴试验结果表明:饱和炉渣的破坏模式受龄期和围压的影响明显。围压小于200kPa,龄期小于14d的试样表现为脆性破坏。在τ-σ坐标上,应力莫尔圆的包络线不是直线;炉渣在σ₁-σ₃坐标上表现为两段直线,分界点为σ₃=200kPa,由σ₁-σ₃相关关系确定炉渣的内摩擦角和黏聚力更合理可信。     

Analysis of a deformable fracture in permeable material

The response of deformable fractures to changes in fluid pressure controls phenomena ranging from the flow of fluids near wells to the propagation of hydraulic fractures. We developed an analysis designed to simulate fluid flows in the vicinity of asperity‐supported fractures at rest, or fully open fractures that might be propagating. Transitions between at‐rest and propagating fractures can also be simulated. This is accomplished by defining contact aperture as the aperture when asperities on a closing fracture first make contact. Locations on a fracture where the aperture is less than the contact aperture are loaded by both fluid pressure and effective stress, whereas locations where the aperture exceeds the contact aperture are loaded only by fluid pressure. Fluid pressure and effective stress on the fracture are determined as functions of time by solving equations of continuity in the fracture and matrix, and by matching the global displacements of the fracture walls to the local deformation of asperities. The resulting analysis is implemented in a numerical code that can simulate well tests or hydraulic fracturing operations. Aperture changes during hydraulic well tests can be measured in the field, and the results predicted using this analysis are similar to field observations. The hydraulic fracturing process can be simulated from the inflation of a pre‐existing crack, to the propagation of a fracture, and the closure of the fracture to rest on asperities or proppant. Two‐dimensional, multi‐phase fluid flow in the matrix is included to provide details that are obscured by simplifications of the leakoff process (Carter‐type assumptions) used in many hydraulic fracture models. Execution times are relatively short, so it is practical to implement this code with parameter estimation algorithms to facilitate interpretation of field data. Copyright © 2006 John Wiley & Sons, Ltd.     

X-ray CT based numerical analysis of fracture flow for core samples under various confining pressures

The X-ray CT based numerical analysis of fracture flow for core samples, recently developed by the authors, was applied to two granite core samples having either a mated artificial or a mated natural fracture at confining pressures of 5 to 50 MPa. A third-generation medical X-ray CT scanner was used to image the samples within a core holder consisting of an aluminum liner and a carbon fiber overwrap. Fracture models (i.e., aperture distributions) were obtained by the CT images, the resolution of which was coarser than the apertures, and a single-phase flow simulation was performed using a local cubic law-based fracture flow model. Numerical results were evaluated by a fracture porosity measurement and a solution displacement experiment using NaCl and NaI aqueous solutions. These numerical results coincided only qualitatively with the experimental results, primarily due to image noise from the aluminum liner of the core holder. Nevertheless, the numerical results revealed flow paths within the fractures and their changes with confining pressure, whereas the experimental results did not provide such results. Different stress-dependencies in the flow paths were observed between the two samples despite the similar stress-dependency in fracture porosity and permeability. The changes in total area of the flow paths with confining pressure coincided qualitatively with changes in breakthrough points in the solution displacement experiment. Although the data is limited, the results of the present study suggest the importance of analyzing fluid flows within naturally fractured core samples under in situ conditions in order to better understand the fracture flow characteristics in a specific field. As demonstrated herein, X-ray CT-based numerical analysis is effective for addressing this concern. Using a multi-phase flow model, as well as a core holder constructed of an engineered plastic, should provide a useful, non-destructive, and non-contaminative X-ray CT-based fracture flow analysis for core samples under in situ conditions in future studies.     

Numerical Modeling of Natural Fracture Distributions in Shale

The production efficiency of shale gas is affected by the interaction between hydraulic and natural fractures. This study presents a simulation of natural fractures in shale reservoirs, based on a discrete fracture network (DFN) method for hydraulic fracturing engineering. Fracture properties of the model are calculated from core fracture data, according to statistical mathematical analysis. The calculation results make full use of the quantitative information of core fracture orientation, density, opening and length, which constitute the direct and extensive data of mining engineering. The reliability and applicability of the model are analyzed with regard to model size and density, a calculation method for dominant size and density being proposed. Then, finite element analysis is applied to a hydraulic fracturing numerical simulation of a shale fractured reservoir in southeastern Chongqing. The hydraulic pressure distribution, fracture propagation, acoustic emission information and in situ stress changes during fracturing are analyzed. The results show the application of fracture statistics in fracture modeling and the influence of fracture distribution on hydraulic fracturing engineering. The present analysis may provide a reference for shale gas exploitation.     

Study on Breakdown Pressure in Hydraulic Fracturing Process of Hard Rock Based on Numerical Simulation

Pre-conditioning by hydraulic fracturing is a vital work in block caving mining of hard-rock metal mine, and breakdown pressure is one of the important parameters in rock hydraulic fracturing process, which determines the equipment selection and job-parameter control. Based on numerical simulation method, a pre-holed cylindrical hard rock sample was built for simulation of hydraulic fracturing process to investigate the effect of stress condition, rock properties and water injection rate on breakdown pressure. The results show that the breakdown pressure is increased with the confining stress, and the breakdown pressure is 2.28 times confining stress based on rock tension strength. The variation of rock tension strength affects the breakdown pressure and a positive linear relation exists. Pre-formed notch could obviously reduce the breakdown pressure and control the orientation of hydraulic fracture. And the borehole diameter has a reverse influence on rock breakdown pressure.

     

基于离散裂隙网络模型的节理岩体渗透张量及特性分析

节理岩体几何结构非常复杂,研究其渗流特性对于指导含水岩层稳定性分析具有重要价值。应用离散裂隙网络模型DFN方法,基于VC++6.0软件平台,建立了平面渗流分析方法,分析了节理岩体不同几何分布情况下的渗透率张量特征,通过定义渗流定向性系数对岩体渗流的定向性特征进行了定量分析。结果表明：单组节理岩体渗流具有明显的各向异性特征,渗流定向性随着节理角度变化显著;节理随着节理贯通性增加,节理渗透率呈现对数增加趋势;两组节理情况下,各向异性特征随着节理组间夹角变化;两组节理岩体渗流特征研究中,正交分布下,岩体仍存在各向异性,但渗流定向性系数较低;当节理倾角服从正态分布时,随着节理倾角标准差增大,渗透率增加;两组节理夹角不同时,节理渗透主方向倾角随着夹角增大而相应增大,基本沿两组节理夹角方向的角平分线方向。     

低应力与覆水环境下单裂隙粉砂质泥岩渗流特性

为探究不同外部环境因素影响下浅层粉砂质泥岩边坡裂隙渗流特性,采用自主研发的岩体裂隙渗流试验装置,对含6种不同裂隙面粗糙度（JRC）的粉砂质泥岩裂隙试样进行渗流试验,研究了不同低围压和覆水深度下粉砂质泥岩裂隙渗流特性。结果表明：不同覆水深度及JRC下围压与粉砂质泥岩裂隙渗透系数均呈反相关,两者之间关系可用幂函数表征,且渗透系数的降低过程可分为快速降低（围压为0～30 kPa）和缓慢降低（围压为30～50 kPa）两个阶段,CT扫描结果验证了围压增大使得粉砂质泥岩裂隙开度减小是渗透系数随围压增大而减小的主要原因。随围压的增大或覆水深度的减小,不同JRC粉砂质泥岩裂隙渗透系数的离散程度逐渐减小。当围压增至最大,同时覆水深度最小时,JRC对裂隙渗透系数的影响将会被消除。不同围压下,粉砂质泥岩裂隙渗透系数与覆水深度呈正相关,且两者关系可用指数函数表征。推导出了粉砂质泥岩裂隙渗流非线性Izabsh模型,该模型能较好地反映低应力及低流速下粉砂质泥岩裂隙渗流量与压力梯度之间的非线性变化关系,但随围压的增大,该模型的相关性有一定程度的减小。     

主应力方向变化路径下等压固结粉土强度特性差异和能量评价方法研究

主应力轴方向旋转变化是地基在波浪、车辆等荷载作用下经受的一种复杂而典型动力路径特征,为研究粉土在不同主应力轴方向变换条件下的强度特性差异,以初始密实度为70％的长江入海口饱和粉土空心试样为对象开展主应力轴旋转、拉压交变动三轴和双幅扭剪三轴试验。试验发现,等压固结条件下3种路径均使试样出现小应变崩塌液化破坏,且崩塌应力状态,可在p’-q空间中用近似平行的一组准不稳定相态线归一。而在液化和崩塌振次上,以同剪应力峰值的动扭剪下最高,动三轴次之,主应力轴旋转最低。在此基础上,提出采用崩塌损耗能对不同路径下土体动强度进行评价,结果表明,崩塌损耗能与剪应力幅值无显著关系,而在上述3种动力路径中,试样崩塌损耗能依次降低,这与3种路径下得到崩塌时刻递增的有效围压特征相匹配。崩塌能强度标准的采用,克服了复杂动力路径下由于剪应力恒定或循环变化造成应力水平无法统一而干扰强度评价的不足