堆石料缩尺方法的分形特性及缩尺效应研究

采用6种不同缩尺方法将同一条现场级配曲线缩制成不同的数值模拟级配曲线,建立以不同粒径范围内颗粒数为测量数的分形模型,研究了颗粒级配分布的分形特性;基于颗粒流方法,生成与级配曲线相对应的6组数值试样进行双轴压缩试验,研究了缩尺方法对数值试样宏观力学特性及细观力学响应的影响;并讨论了颗粒级配分布的分形特性与数值试样力学特性之间的关系。结果表明：采用不同方法缩尺后数值试样的颗粒级配分布具有分形特性,分维数D为1.463～1.783;随着缩尺方法相似比尺M的增大,数值试样中细颗粒数量增多,粗细颗粒的充填关系得到改善,力学特性逐步提高;颗粒级配分布分维数D与数值试样力学特性指标之间存在较好的线性关系。     

白云岩力学强度特性的孔隙影响研究

为了研究孔隙对白云岩力学特性的影响,从四川某地露头和深度大于5 000 m的深部白云岩地层进行了取样, 系统地研究了孔隙对白云岩的力学特性的影响。孔隙度是石油或天然气白云岩储层的重要特征之一。白云岩的试样孔隙度变化范围在6%～12%之间。在实验室对白云岩进行了单轴抗压强度试验、巴西劈裂法抗拉强度试验、直剪试验和三轴抗压强度试验。单轴抗压强度试验结果表明,岩石中孔隙度越高,岩石强度就越低。在不同围压作用下的多轴试验结果表明,在某一围压作用下,岩石的强度随着孔隙度的增加而减少;在相同孔隙度的岩石,应力偏量（三轴峰值应力）随着围压的增加而增加。介绍了孔隙岩石的MSDPu屈服本构模型,结果显示该模型能够较好地描述孔隙岩石的屈服特性。     

基于土壤切片技术的细观孔隙实验研究及其分布规律表征

岩土多孔材料孔隙分布特性强烈影响其宏观物理力学特性,细观孔隙研究具有极其重要的意义.采用固化剂及蓝色有机染料对生态护坡材料进行固化和染色,基于土壤切片技术获取样本的典型剖面,利用高分辨率相机采集剖面彩色图像,借助IPP技术获取细观孔隙分布数据.结果表明：细观孔隙度随孔径分布较为均匀,不同样本的细观孔隙数量分布较为近似,数量分布曲线越光滑,材料结构越稳定.为合理描述细观孔隙分布规律,提出了一种改进的隙率模型,较已有孔隙率模型,改进模型在二维空间内具有更广的适用范围及更小的预测误差.     

松散砂粒孔隙结构、孔隙分形特征及渗透率研究

多孔介质孔隙结构特征是决定流体微观运移机制的重要方面。文章用环氧树脂固结松散石英砂磨制出二维多孔介质薄片,并用孔隙结构图像处理方法提取出孔隙结构参数信息;根据孔隙结构参数,建立描述孔隙结构的分形几何模型,分析松散地层孔隙结构的分形特征;进行多孔介质渗透率的实验测量和分形计算。结果表明:多孔介质的孔隙率和孔径与粒径之间存在线性相关性,拟合度分别达到-0.976 5和0.996 6;在方格边长ε和含有孔隙的格子总数N(ε)的双对数坐标系中,lnε-lnN(ε)数据点近似成直线,且不同样品的孔隙分布分维数值比较接近;而在孔径r与大于该孔径的孔隙总数N(r)的双对数坐标系中,lnr-lnN(r)的数据点必须进行分段回归分析,以便能更好地反映孔隙结构的实际情况;孔隙分布分维数和孔径分维数与粒径也存在较高的对应关系;中砂渗透率的实验测得值是5.19×10-5mm2,孔径分维数分段回归法计算的大孔隙多孔介质渗透率为5.75×10-5mm2,测量值与计算值较为接近,孔径分维数可以计算多孔介质的渗透率。     

多孔介质中溶质有效扩散系数预测的分形模型

依据分形理论和方法,探索溶质在多孔介质中的有效扩散系数的替代预测方法。在多孔介质溶质扩散的弯曲毛细管束模型的基础上,以分形维数作为介质的基本几何特性参数,建立了多孔介质中溶质扩散的分形毛细管束模型,推导出了溶质有效扩散系数与介质孔隙度之间的幂定律关系式,幂指数是介质孔隙分维和表面分维的函数,反映了介质孔隙体积的层次分布与孔隙通道曲折程度对扩散的影响。对粘性土的分形维数测定数据和有效扩散系数试验测定数据的分析表明,利用该关系式预测多孔介质中溶质的有效扩散系数是较为准确可靠的。     

辽河东部凸起太原组页岩孔隙分形特征

页岩孔隙结构具有良好的分形特征,孔隙结构的分形维数能定量描述孔隙结构的复杂程度。以辽河东部凸起为例,应用高压压汞方法研究了页岩孔隙结构及其不规则性,计算了页岩孔隙分形维数。研究结果表明,辽河东部凸起太原组页岩孔隙分形无标度区为0.09~60μm,孔隙分维数为2.378~3.007,随着分形维数的增大,页岩的非均质性增强,压汞实验得出的页岩孔径分布特征也证明了页岩的孔隙分形维数可以用来定量描述页岩储层岩石孔隙结构的微观非均质性;数学拟合表明分形维数与有机质含量相关性差,反映页岩中无机孔隙为主体孔隙类型;分形维数与石英含量呈较弱的正相关而与黏土矿物含量呈较强的负相关性,表明黏土矿物含量对页岩孔隙结构影响明显。分形维数与页岩的渗透率和孔隙度均具有很好的负相关性,分形维数越大,岩心的渗透率和孔隙度越小,表明分形维数越大,孔隙结构越趋于复杂,不利于气体的渗流和产出。     

细观非均匀性对脆性岩石材料宏观破坏形式的影响

岩石材料的宏观力学特征是材料内部细观力学特性的综合反映。对于脆性岩石材料,其内部的非均匀性对材料的宏观破坏形式有着重要的影响。应用演化细胞自动机方法（ECA）对岩石的非均匀性进行了初步的探讨。该方法以位移、力、应力和应变等矢量和张量作为系统的基本变量,定量计算了反映岩石破坏过程中应力集中以及应力重新分布的过程。在宏观上则认为脆性岩石材料是一种非均匀性材料,并假定脆性岩石材料的非均匀性符合Weibull分布,坡度参数m是Weibull分布中的反映分布非均匀程度的重要参数。通过对符合Weibull分布中不同坡度参数的脆性岩石材料进行数值模拟试验,发现由Weibull分布中的坡度参数表示的非均匀性是影响脆性岩石材料破坏方式的重要因素,材料的坡度参数越小,材料越不均匀,其破坏形式则越具有随机性;材料的坡度参数越大,材料越趋于均匀,其破坏形式越具有规则性,即趋于弹性材料的破坏形式,这与试验结果是吻合的。     

储层岩石微观孔隙结构对岩石力学特性及裂缝扩展影响研究

储层岩石是一种具有复杂孔隙结构的天然非均质材料,微观结构影响岩石的宏观力学特性和破裂特性,认识储层岩石微观孔隙结构及其对岩石力学特性的影响对油气开采和储层改造具有重要意义。为此,利用CT扫描试验和数字图像处理技术,定量表征储层岩石微观孔隙结构;据此建立微观孔隙结构的三维模型,根据单轴压缩试验获取模型的细观参数,并在PFC3D中进行单轴压缩模拟,分析微观孔隙结构对岩石力学特性和裂缝扩展的影响。结果表明,储层岩石微观孔隙结构概率分布满足对数正态分布,几何形状复杂,孔隙分布具有分形特征;微观孔隙的存在造成单轴抗压强度的降低,分形维数越大,单轴抗压强度越小,两者呈近似线性关系;孔隙结构对裂缝起裂位置、扩展及贯通方向具有决定性作用,裂缝起裂位置多出现在孔隙尖端处;在平行于加载方向的平面内,裂缝多沿孔隙尖端近30°方向和平行于加载方向扩展;在垂直于加载方向的平面内,裂缝沿裂隙轴线方向延伸或使孔洞直径增大;加载过程中裂缝易造成孔隙之间的贯通。     

不同级配珊瑚砂水泥胶结体的破坏行为分析

为探究不同级配的珊瑚砂水泥胶结体在静、动荷载下的破坏行为,利用落锤冲击试验机对不同级配的珊瑚砂水泥胶结体试样进行了一系列冲击试验,并结合静力压缩试验,综合分析了珊瑚砂水泥胶结体的力学行为及破坏形态。试验结果表明：珊瑚砂的级配区间越广,其水泥试块的抗压强度越大、抗冲击性能越强、受冲击破坏程度越小且破碎角逐渐递减;珊瑚砂水泥试块在不同种类的荷载作用下展现出不一样的破坏形态,区别于混凝土试块。在此基础上,建立了三维离散元模型,以模拟的应力-应变曲线与静力试验结果相吻合作为PFC细观参数的选取原则,并利用该细观参数对试块冲击试验进行数值重现。通过细观分析可以看出：从裂隙分布角度分析,随着级配区间越广、平均粒径的增大,均匀且分散的冲击微裂隙会越来越集中往某个方向发展,使得试块的裂缝数量减小、破损程度减轻。从系统黏结力角度分析,级配区间范围窄的试块内部黏结力较小且分布均匀,级配区间范围广的试块内部黏结力较大且分布不均匀。     

不同级配珊瑚砂水泥胶结体的破坏行为分析

为探究不同级配的珊瑚砂水泥胶结体在静、动荷载下的破坏行为,本文利用落锤冲击试验机对不同级配的珊瑚砂水泥胶结体试样进行了一系列冲击试验,并结合静力压缩试验,综合分析了珊瑚砂水泥胶结体的力学行为及破坏形态。试验结果表明：珊瑚砂的级配区间越广,其水泥试块的抗压强度越大、抗冲击性能越强、受冲击破坏程度越小且破碎角逐渐递减;珊瑚砂水泥试块在不同种类的荷载作用下展现出不一样的破坏形态,区别于混凝土试块。在此基础上,建立了三维离散元模型,以模拟的应力-应变曲线与静力试验结果相吻合作为PFC细观参数的选取原则,并利用该细观参数对试块冲击试验进行数值重现。通过细观分析可以看出：从裂隙分布角度分析,随着级配区间越广、平均粒径的增大,均匀且分散的冲击微裂隙会越来越集中往某个方向发展,使得试块的裂缝数量减小、破损程度减轻。从系统粘结力角度分析,级配区间范围窄的试块内部粘结力较小且分布均匀,级配区间范围广的试块内部粘结力较大且分布不均匀。     

The influence of binder/aggregate ratio on the pore properties and strength of repair mortars

Repair mortars with different B/Ag (binder/aggregate) ratios and natural stone were studied in order to understand the influence of limestone aggregate on the properties of mortar and to check the compatibility of repair mortar with a porous limestone. Three different types of mortars with three different aggregate contents were evaluated by using mercury intrusion porosimetry (MIP) and water saturation method (WSM). Changes in density and uniaxial compressive strength as a function of aggregate content were also recorded. For comparison the properties of the porous limestone were also tested, since it is used in monuments and also as aggregate in the mortar. Tested mortars had average porosities of 27.0 % (±2.0), while oolitic limestone has higher average porosity of 32.2 % (±1.9). The limestone has mainly medium and large pore radii (1–100 μm) while the repair mortars even with high aggregate content has predominantly smaller pores. All but one pure repair mortars have higher uniaxial compressive strength than that of the oolitic limestone. The strength decreases while porosity increases with increasing aggregate content.     

On computation of strain‐dependent permeability of rocks and rock‐like porous media

Determination of transport properties of geomaterials is an important issue in many fields of engineering analysis and design. For example, in petroleum engineering, in situ permeability of an oil reservoir may be crucial in establishing its viability for exploitation, whilst prevention of leakage from underground storage facilities for oil and gas, nuclear waste as well as viability of CO₂ sequestration projects crucially depends on its long‐term values. Permeability is indirectly related to the porosity, pore‐size distribution and pore architecture of the porous media. These parameters evolve when a strain field is imposed. Physical measurement of permeability under a strain field in laboratory conditions is difficult, expensive and prone to a number of uncertainties. In the past, pore network models have been used to compute permeability of materials under stress/strain‐free conditions. In this paper, we propose an enhanced pore network model to compute permeability of rocks and rock‐like porous media under a stress/strain field. Data of pore‐size distribution obtained from mercury intrusion porosimetry are used to compute permeability of rock samples from various unspecified oilfields in the world. It is shown that the two permeabilities can be predicted from the model with sufficient accuracy. A hypothesis for change in porosity, pore‐size distribution and pore architecture as a result of imposed mechanical strains is then proposed. Based on this, permeability is computed again for one of the rock samples under uniaxial and triaxial compressive and tensile strain fields. It is shown that depending on the state of strain field imposed, permeability evolves in an anisotropic manner. Permeability under tensile strain field increases dramatically compared with the reduction that takes place under compressive strain field of the same magnitude. Copyright © 2014 John Wiley & Sons, Ltd.     

Determination of unconfined compressive strength and Young's modulus of porous materials by indentation tests

The formation of a compacted zone under the indenter seems to be the major factor controlling the indentation process in porous rocks. In the case of very porous materials, where the pore structure fails and deformation (by structural collapse) proceeds with almost no increase in the applied load and with very limited damage to the surrounding material, no chipping is observed. The extent of the compacted zone is controlled by the porosity of the material and by the strength of its porous structure. This paper presents an interpretation model developed by the authors to obtain the uniaxial compressive strength of porous materials from the results of indentation tests. It is based on the model proposed by Wilson et al. (Int. J. Mech. Sci., 17, 1975, 457) for the interpretation of indentation tests on compressible foams and on an estimation by the authors of the extent of the compacted zone under the indenter. The results of indentation tests can also be used to obtain the Young's modulus of the material with a model proposed by Gill et al. (Proceedings of the 13th Canadian Symposium on Rock Mechanics, 1980, 1103). Uniaxial compression and indentation tests have been performed on artificial porous materials showing porosities varying between 44 and 68%. The uniaxial compressive strength values obtained from both types of test show a very good agreement. For the Young's modulus, the values obtained from the two types of test are different but the variation of the moduli with porosity is the same. Finally, a parameter called permanent penetration modulus is proposed as a means of characterizing the uniaxial compressive strength of porous materials.     

川东北深井剖面碳酸盐岩力学参数分布特征研究

研究深部碳酸盐岩力学特性参数分布规律,对于预防碳酸盐岩地层钻井事故的发生具有十分重要的意义。采集对应地层埋深从3 568～5 983 m的20组不同层系的碳酸盐岩露头岩芯,借助MTS815.03和RMT150C岩石力学试验系统、RSM-SYS5非金属声波测试仪等,完成显微电镜分析、单轴压缩、三轴压缩和围压声波测试等试验。试验结果表明,（1）南方海相碳酸盐岩主要以生物碎屑白云岩、泥晶灰岩为主,粒径范围在0.01～0.20 mm之间,孔隙类型以粒内溶蚀孔隙、粒间孔隙、晶间溶孔为主,孔隙率范围为2%～12%;（2）单轴抗压强度在空间分布上有一定的规律性,三轴抗压强度在空间上为无序分布,表现出某种混沌的特征;（3）碳酸盐岩纵波速度随围压的增加而增大,在低围压下纵波速度增加明显;高围压下纵波速度变化相对较小,围压下纵波速度增幅,白云岩大于灰岩,获得白云岩、灰岩的抗压强度与其纵波波速不同的相关关系。其结论可为深部碳酸盐岩地层安全钻进提供技术参数。     

某工程蚀变岩孔隙特征及其软弱程度研究

孔隙作为岩体的初始损伤,对岩体的强度及变形特性的影响尤为明显,而孔隙发育是研究区内一类力学性质较软弱岩石的显著特征。对蚀变岩孔隙特征的研究是了解蚀变岩的软弱程度及孔隙度对其软弱程度的影响的有效方法。针对此蚀变岩进行岩矿及铸体薄片分析得出蚀变岩孔隙有原生、浅表生及构造3种成因,其中以原生为主。从饱水蚀变岩的常规单轴压缩试验应力-应变全过程曲线上求取蚀变岩的饱和单轴抗压强度及割线模量,再与相应试样的孔隙度进行相关性分析,结果显示出蚀变岩的饱和单轴抗压强度及割线模量均随孔隙度的增加而减小,且呈幂函数关系。由于蚀变岩的饱和单轴抗压强度(R c)及割线模量(E s)作为软硬岩评判标准具有一致性,且两者与孔隙度(n)存在较好的相关性,以此将3者共同作为蚀变岩软弱程度的划分标准,并得出软硬岩分界处n为12%、R c为30 M Pa、E s为5 GPa。     

Time-dependent changes in the strength of repair mortar used in the loss compensation of stone

Repair mortar and mixture of repair mortar with porous limestone sand aggregate were tested under laboratory conditions. Water absorption properties and micro-fabric analyses with a combination of strength tests were applied to assess the durability and compatibility of repair mortar with porous limestone. Uniaxial compressive strength and flexural strength were measured after 3, 7, 14, 28 and 90 days of casting. Durability was tested by comparing strength test results of samples kept air dry, water saturated, dried in drying chamber, freeze–thaw and non-standardized freeze–thaw cycles. The results indicate that with time various trends in strength were observed. In general, limestone aggregate content decreases more the compressive strength more than the flexural strength of the mortar. Standardized freeze–thaw tests of saturated samples caused a rapid material loss after 25 cycles, while freeze–thaw tests of undersaturated samples demonstrated that even after 100 cycles the test specimens still have a significant strength. Water-saturated samples that contain 50% of limestone aggregate have a 50% loss of strength in comparison with saturated repair mortar, while air-dry and water-saturated repair mortar has a minor strength difference after 90 days. The use of smaller amounts of porous limestone aggregate in repair mortar allow the preparation of repairs that are compatible with the monuments of Central Europe that were constructed from porous limestone.     

Effects of internal pores on the mechanical properties of marine calcareous sand particles

Calcareous sand is a typical problematic marine sediment because of its angular and porous particles. The effects of internal pores on the mechanical properties of calcareous sand particles have rarely been investigated. In this paper, the apparent morphology and internal structure of calcareous sand particles are determined by scanning electron microscopy and computed tomography tests, finding that the superficial pores connect inside and outside of the particles, forming a well-developed network of cavities and an internal porosity of up to 40%. The effects of particle morphology and internal porosity on the mechanical responses of particle were investigated by conducting photo-related compression test and 3D numerical simulations. Two failure modes are observed for the porous calcareous sand, i.e., compressive failure indicates that the particle skeleton is continually compressed and fragmented into small detritus without obvious splitting, and tensile failure indicates that the particles are broken into several fragments when the axial force clearly peaks. Calcareous sand particles with a high internal porosity or with small and dense pores often exhibit compressive failure, and vice versa. The particle strength is considerably reduced by increasing the internal porosity, but affected by pore size in nonlinear correlation. The crushing stress–strain points can be well fitted by an exponential curve, which is supplied for discussion.

     

The effect of weathering on pore geometry and compressive strength of selected rock types from Turkey

Weathering processes cause important changes in rock porosity. Besides porosity, distribution of pore sizes is significant for the identification of changes due to rock weathering and its effects on fabric. The formation of secondary porosity in different types of rock taken from different parts of Turkey was examined and the results are presented in this paper. The aim of this study was to observe changes in porosity due to weathering. Effective porosity, mercury intrusion porosimetry, and optical and scanning electron microscopy were used to evaluate the changes in pore geometry of the rocks. Additionally, the dry density, water absorption and uniaxial compressive strength of the rocks at different weathering stages were determined. Analysis of experimental data showed that microstructure of the rocks in relation to weathering is the main feature, which controls their physical and mechanical properties. The study revealed that fabric characteristics, particularly the pore and fracture geometry are very important characteristics for assessment of the behaviour of weathered rock.