低围压下颗粒形态对软黏土抗剪强度影响的离散元分析

黏土颗粒形态不仅反映黏土的矿物组分,更是影响其物理力学性质的重要因素之一。为了研究物质组成对软黏土微宏观性质的影响,采用离散元方法对不同颗粒形态的软黏土试样进行三轴压缩模拟试验。首先,基于扫描电镜图像量化颗粒形态,对天然状态下黏土颗粒的方向角和凹凸度进行统计,引入球度和凹凸度作为颗粒形态的特征参数;然后,基于原生矿物的单粒结构和黏土矿物的片状结构特征,构造球体单粒及圆柱体、正方体、长方体的片状簇体;最后,基于三轴试验离散元模拟方法,分析软黏土颗粒形态对其宏观力学及微观特性的影响。结果表明:片状颗粒试样比球体颗粒试样的初始模量高,抗剪强度大,随加载其排列趋于水平向分布;加载初期,颗粒球度对初始弹性模量影响较明显,初始弹性模量随着球度增大而逐渐减小;加载后期,颗粒凹凸度对抗剪强度指标影响作用逐渐凸显,试样内摩擦角和黏聚力随着凹凸度增大而逐渐减小;微观结构上,颗粒形状对颗粒位移和旋转也有较大影响。     

How round is round? A new approach to the topic ‘roundness’by Fourier grain shape analysis

Numerous methods for roundness measurement have been developed. None, however, has been generally accepted, because of conceptual and practical deficiencies. Modern image processing and Fourier grain shape analysis have eliminated the practical shortcomings, but the conceptual ones remained. Single, higher harmonics of the Fourier series, for example, fail to serve as reliable equivalents for roundness evaluation. The concept outlined in this paper recognizes three criteria for the evaluation of roundness. (1) All curvatures, convex as well as concave or plane elements, must be considered. (2) The positions of morphological elements are significant because salient parts of a particle are more easily abraded than protected ones. Consequently, the curvatures have to be weighted by their relative position on the particle. (3) Positions and curvatures of morphological elements have to be compared with the particle's ultimate abraded shape, which is assumed to be an ellipsoid. The ellipsoid reflects the aspect of form or sphericity. The distinction between sphericity and roundness is retained because there is no evidence that sphericity changes significantly during transport. The measurement is based on the outline of a particle's maximum projection plane, which is transformed to a Fourier series. Roundness data are derived from the complete amplitude spectrum. The aspect of sphericity is eliminated by subtracting the amplitude spectrum of the best approximating ellipse from the spectrum of the empirical shape. The residual amplitudes are normalized and summed. In a final step the resulting values are rescaled. This guarantees reasonable boundaries and a normal distribution of roundness values. The procedure is automated and its efficiency permits the calculation of large samples. Tests on fluvial and coastal gravel populations demonstrate that the method is sensitive to abrasional wear during all stages of roundness.     

The effect of particle shape and hydrophobicity in flotation

The effect of particle shape on the flotation process has been investigated in laboratory experiments with monosized spherical ballotini and ground ballotini. The particles were treated by partial methylation with trimethylchlorosilane to achieve varying degrees of hydrophobicity. In flotation, the process of film thinning and liquid drainage is critical in the formation of stable bubble–particle attachments and this is affected by the particle shape and surface hydrophobicity. Flotation tests with different particle sizes were conducted in a modified batch Denver cell. Predictions from a computational fluid dynamic model of the flotation cell that incorporates fundamental aspects of bubble–particle attachment were compared with data from flotation tests. Contact angles of the particles were measured using a capillary rise technique to indicate surface hydrophobicity. Ground ballotini generally has higher flotation rates than spherical ballotini; the results are consistent with effects from faster film thinning and rupture at rough surfaces and are well correlated by the sphericity index.     

Particle shape effect on thermal conductivity and shear wave velocity in sands

This study presents the correlations between quantified shape parameters and geotechnical properties for nine sand specimens. Four shape parameters, sphericity, convexity, elongation and slenderness, were quantified with two-dimensional microscopic images with the aid of image processing techniques. An instrumented oedometer cell is used to measure compressibility, thermal conductivity and shear wave velocity during loading, unloading and reloading stages. As the particle shape inherently determines the initial loose packing condition, initial void ratio and shape parameters are well correlated with compressibility. The applied stress in soils increases the interparticle contact area and contact quality; round particles tend to achieve higher thermal conductivity and shear wave velocity during stress-induced volume change. Multiple linear regression is implemented to capture the relative contributions of involved variables, revealing that the thermal evolution is governed by the initial packing density and particle shape. The experimental observations underscore the predominant effect that particle shape has on the geomechanical and physical properties upon stress-induced soil behavior.     

堆石料三维形状量化及其对颗粒破碎的影响

筑坝堆石料由于尺寸较大,必须对其按一定比例缩尺后才能用来开展室内三轴试验。但缩尺前后颗粒形状难免会有差异,如何评价颗粒形状变化对堆石料变形特性的影响是十分重要的。引入了高精度的三维激光扫描技术对紫坪铺面板坝筑坝堆石料2.5～5、5～10、10～20 mm以及20～40 mm 4个粒径组的颗粒进行了空间形状分析,在此基础上进一步开展了单一粒组的三轴试验,研究了4个粒组的颗粒形状指标与颗粒破碎率的相关性。试验表明,紫坪铺堆石料颗粒破碎率随着其平均球度的增加而减小,并且呈近似半对数线性关系;随着围压的增加,颗粒形状对颗粒破碎的影响逐渐减弱,颗粒强度的影响逐渐增大。紫坪铺堆石料的颗粒强度随着颗粒尺寸的增加逐渐减小,但其破碎率反而随着颗粒尺寸的增加而逐渐减小,主要是因为试验所采用的紫坪铺堆石料颗粒尺寸越小时,其形状越不规则。因此,研究缩尺效应对颗粒破碎率的影响时,要同时考虑颗粒尺寸和颗粒形状。     

珊瑚砂高压力下一维蠕变分形破碎及颗粒形状分析

珊瑚砂是一种含钙极高的海洋生物成因材料,具有高棱角性、形状不规则、易破碎等特点。通过珊瑚砂的高压一维蠕变试验,研究颗粒破碎引起颗粒分布曲线和形状因子的演化规律。借助于高速动态图像的激光粒度粒形仪器,从统计学的角度分析试验前后颗粒形状随压力演化的关系,发现颗粒的形状因子,如长宽比、球形度和凹凸度等,随压力增加而逐渐增加。不同粒径的颗粒形状因子均向一个窄幅范围趋近,说明颗粒破碎具有无尺度性和自相似性的分形特性,分形维数随压力增加而逐渐增大,且趋近分形破碎极限。采用Hardin和Einav的方法计算相对破碎量,发现在两种计算方法下相对破碎量与压力呈幂函数关系,且幂指数相同。相对破碎量随时间增加的现象并不明显,说明在高压力下颗粒破碎主要为压缩破碎,且颗粒细化滑移填充孔隙引起的变形是造成蠕变的主要原因。     

基于数字图像处理的矿物颗粒形态定量分析

矿物颗粒形态的评价一般采用目估法在显微镜下观测岩石薄片,其评价结果受主观影响.本文利用岩石薄片显微照片,基于图像处理技术提出了矿物颗粒形态定量分析方法.矿物颗粒形态参数主要包括球度、凸度、长宽比、磨圆度等.该方法利用图像分割技术将显微照片中的矿物颗粒区分开,提取颗粒的像素轮廓坐标进行离散几何分析,计算矿物颗粒形态参数....     

砂土颗粒形状量化及其对力学指标的影响分析

砂作为一种特殊的散体材料,其宏观物理力学性质,如密实度、剪切特性（临界状态角,剪胀角）、压缩性及颗粒破碎特征等均受到颗粒形状的影响,目前为止,对于砂粒土颗粒形状的量化工作,未到达成熟阶段。试验采用普通光学显微镜获取3种不同砂颗粒及一种相似材料（玻璃球）数字图像,利用ImageJ图形软件对其进行黑白二值化处理,获取颗粒形状轮廓边界;从3个层次定义颗粒形状参数,并利用java语言编制形状量化插件程序,计算砂粒各形状参数值,最后通过相对密度试验、直剪试验测试不同砂样的极限孔隙比、剪切强度指标。试验结果表明：整体轮廓系数、球形度、棱角度3项形状参数可作为不同砂粒形状鉴别和量化的关键参数,且与剪胀角、临界状态摩擦角均具有良好的相关性,试验提供了一种量化砂颗粒形状的有效方法,并可将得到的关键量化参数应用到宏观力学性质分析与数值模拟工作中     

动态图像法应用于海滩沉积物粒度粒形测试及其与筛析法的比较

筛析法是海滩沉积物粒度分析较经典和常用的方法。随着科学技术的发展,利用动态图像法分析沉积物粒度逐渐得到推广。本文利用动态图形法和筛析法对海南岛5个海滩剖面20组沉积物样品进行粒度粒形测试,并将两种方法所测得的粒度进行比较。测试分析结果显示,该方法的测试结果重复性好,精度高;通过与筛析法的对比显示,动态图像法与筛析法的测试结果非常接近,粒度级配曲线基本一致,各个粒度参数值很接近且相关性非常好（R2>0.94）;由动态图像法得出的粒形参数可以看出,粒径相当的不同海滩沉积物粒形参数有很大差别,同一海滩不同部位的球形度和宽长比变化很大,对称度和凹凸度变化稍小。研究表明,动态图像法与筛析法之间的粒度分析差异主要来自于两者测量原理的不同和天然海滩砂颗粒形状的不规则;动态图像法解决了不规则沉积物粒度的测量。因此,动态图像法可以替代筛析法来测量沉积物粒度,应用前景广阔。     

Segmentation of contacting soil particles in images by modified watershed analysis

Image-based soil particle size and shape characterization relies on computer methods to process and analyze the images. For contacting particles spread on a flat surface this requires delineation of particle boundaries through shape-based image segmentation. The traditional method using watershed analysis fails for particles that have constrictions (are peanut-shaped). The oversegmentation interprets such particles as being two, thereby underestimating the long particle dimension by about 50% and overestimating particle sphericity by about a factor of two. This paper presents a solution to the problem of oversegmentation through morphologic reconstruction. The key to this improvement is distinguishing the necks in peanut shaped particles from actual contacts between particles. A parameter α is defined to quantify the necks and contacts. Approximately 220,000 particles in a range of 2.0–35.0 mm having various shapes and angularities were studied to find typical α values for necks and contacts. An algorithm is proposed to correct the oversegmentation based on α. The results show that this improved watershed analysis accurately segments sand particles at contacts while preserving the continuity of peanut shaped particles. Example lab tests demonstrate the significance of the problem and its solution.     

THE ANGLE OF REPOSE FOR A SINGLE GRAIN ON A FIXED ROUGH BED

The angle of repose under water is experimentally determined for a single particle on a fixed rough bed. The effect of grain shape, size and sorting of the bed and ratio of particle diameter to average bed grain diameter are taken into account. An empirical equation is given for predicting angle of repose as a function of the above factors. The accuracy of fit of this equation is quite good. Several other conclusions drawn for the case of a single grain on a fixed rough bed are:

• 1 Angle of repose increases with decrease in size, departure from sphericity and increased angularity.
• 2 Angle of repose increase with decrease in sorting.
• 3 A single angle of repose for sand size grains is not valid. Variation ranges from nearly 90° to less than 20°, depending on the values of the factors given above.

     

考虑形貌特征和级配影响的钙质砂压缩破碎力学特性研究

针对岛礁大型构筑物修建过程中由于高应力而导致作为地基材料的钙质砂发生破碎,进而引发地基沉降变形问题。本文采用高压固结仪对钙质砂开展了一系列终止压力为16 MPa的侧限压缩试验,研究了高应力水平下钙质砂的压缩破碎特性。同时基于显微图像采集和处理技术对钙质砂颗粒的形状参数(圆度和完整度)进行了定量化表征,研究了钙质砂的形状分布规律。最终分别探讨了级配特征(如平均粒径、不均匀系数)、形貌特征等因素对钙质砂压缩和破碎特性的影响。结果表明:随着平均粒径的增大,钙质砂颗粒的形状不规则程度逐渐增加,其棱角也越发育。随着竖向应力的增大,在e-logp平面内,不同粒径钙质砂的压缩曲线逐渐会聚并相交于一条直线,初始粒径对其压缩特性的影响逐渐减小以致消失。而不同级配钙质砂的压缩曲线也发生会聚,但未相交于一条直线。当试样的不均匀系数(C_u)相近时,其压缩破碎量随着平均粒径(d₅₀)的增大而逐渐增加,当试样的d₅₀相近时,其压缩破碎量随着C_u增大而逐渐减小。上述研究成果将对南海岛礁大型工程建设提供重要科学依据。     

Three-dimensional quantitative analysis on granular particle shape using convolutional neural network

To identify all desired shape parameters of granular particles with less computational cost, this study proposes a three-dimensional convolutional neural network (3D-CNN) based model. Datasets are made of 100 ballast and 100 Fujian sand particles, and the shape parameters (i.e., aspect ratio, roundness, sphericity, and convexity) obtained by conventional methods are used to label all particles. For the model training, by feeding the slice images of particles into the model, the contour of particles is automatically extracted, thereby the shape parameters can be learned by the model. Thereafter, the model is applied to predict shape parameters of new particles as model testing. All results indicate the model trained based on slice images cut from three orthogonal planes presents the highest prediction accuracy with an error of less than 10%. Meanwhile, the accuracy for concave and angular particles can be guaranteed. The rotation-equivariant of the model is confirmed, in which the predicted values of shape parameters are roughly independent of orientations of the particle when cutting slice images. Superior to conventional methods, all desirable shape parameters can be obtained by one unified 3D-CNN model and its prediction is independent of particle complexity and the number of triangular facets, thus saving computation cost.     

The shape of rock particles, a critical review

An attempt was made to distinguish aspects of the shape of rock particles, and to discover by analysis and empirical considerations the most appropriate parameters for describing these aspects. The shape of a rock particle can be expressed in terms of three independent properties: form (overall shape), roundness (large-scale smoothness) and surface texture. These form a three-tiered hierarchy of observational scale, and of response to geological processes. Form can be represented by only two independent measures from the three orthogonal axes normally measured. Of the four pairs of independent measures commonly used for bivariate plots, the two sphericity/shape factor pairs appear to be more efficient discriminators than simple axial ratios. Of the two, the most desirable pair is the maximum projection sphericity and oblate-prolate index for both measures show an arithmetic normal distribution for the range investigated. A measure of form that is independent of the three orthogonal axes, and measures derived from them, is the angularity measure of Lees. Roundness has measures of three types, those estimating average roundness of corners, those based on the sharpest corner, and a measure of convexity in the particle outline. Although each type measures a different aspect, they are not independent of each other. Only roundness from corners is considered in detail. As neither average nor sharpest corner measures are inherently more objective or more quantitative, purpose should determine which is more appropriate. Of the visual comparison charts for average roundness, Krumbein's appears best. The Modified Wentworth roundness is the most satisfactory for estimating roundness from the sharpest corner. The Cailleux Roundness index should not be used because it includes aspects of roundness and form. Shape is a difficult parameter to use for solving sedimentological problems. Even the best of the commonly used procedures are limited by observational subjectivity and a low discriminating power. Unambiguous interpretation of particle shape in terms of source material and processes will always be made difficult by the large number of natural variables and their interactions. For ancient sediments satisfactory results can be expected only from carefully planned studies or rather unusual geological situations.     

Studying the effect of non‐spherical micro‐particles on Hoek–Brown strength parameter mi using numerical true triaxial compressive tests

The strength parameter m_i in the Hoek–Brown strength criterion is empirical and was developed by trial and error. To better understand the fundamental relationship between m_i and the physical characteristics of intact rock, this paper presents a systematic study of m_i by representing intact rock as a densely packed cemented particle material and simulating its mechanical behavior using particle flow modeling. Specifically, the three‐dimensional particle flow code (PFC3D) was used to conduct numerical true triaxial compression tests on intact rock and to investigate the effect of non‐spherical micro‐particle parameters on m_i. To generate numerical intact rock specimens containing non‐spherical micro‐particles, a new genesis process was proposed, and a specific loop algorithm was used based on the efficiency of the process and the acceptability of generated specimens. Four main parameters—number, aspect ratio, size, and shape—of non‐spherical micro‐particles were studied, and the results indicated that they all have great effect on m_i. The strength parameter m_i increases when the number, aspect ratio, or size is larger or the shape becomes more irregular, mainly as a result of the higher level of interlocking between particles. This confirms the observations from engineering experience and laboratory experiments. To simulate the right strength parameter m_i, it is important to use appropriate non‐spherical micro‐particles by controlling these four parameters. This is further demonstrated by the simulation of two widely studied rocks, Lac du Bonnet granite and Carrara marble. Copyright © 2014 John Wiley & Sons, Ltd.     

黄土颗粒结构特征及其对剪切行为的影响

微结构控制着黄土的宏观力学行为,进而影响着工程土体稳定性.本文通过X射线CT试验研究了陕西泾阳Q2黄土试样的三维颗粒结构特征,结合三轴剪切试验建立了黄土的颗粒流离散元数值计算模型,探讨了颗粒尺寸、形态和排列等结构特征对黄土剪切行为的影响.结果表明黄土试样颗粒的等效直径分布满足Weibull概率分布,球度分布符合Gamm...     

基于动态图像法的河流砂和湖滩砂粒形-粒度特征对比

对沉积颗粒大小、形态特征的量化和解释,是沉积动力条件分析和古地理重建的重要内容之一.图像法作为粒度分析的标准,长期受制于样本量小、效率低等困难.基于动态图像法的新型粒度粒形分析系统可在几分钟内获取多达n×107个颗粒的形状和大小信息,为沉积环境重建和动力条件分析提供了新的机会.本文基于两组样品(青藏高原的湖滩砂和黄河中游的河流砂)的动态图像粒度粒形数据,定量分析和对比了湖滩与河流两种环境沉积颗粒的粒度、粒形特征及其异同.结果表明,样品组成颗粒的球度与均值粒度之间整体上存在明显的反相关,球度-粒度曲线可大致划分为斜率不等的三段: 占据颗粒绝大多数的中段(C.S.)球度适中,斜率最小; 细端(F.T.)球度大,斜率也大; 粗端(C.T)球度小,斜率小且不稳定.结合天然沉积颗粒的形状和密度特征,本文认为这些不同斜率的段落可能源于沉积颗粒密度效应和形状效应导致的粒度分异.对比研究表明,湖滩砂与河流砂在粒形-粒度曲线形态与分段特征方面均存在明显差异,两组样品在不同粒形参数(球度—长宽比—凹凸度)三角图和不同球度分段所对应颗粒体积百分比(C.T.-C.S.-F.T.)三角图中均能完全分离.这些事实表明基于动态图像分析的粒度粒形分析可望成为一种潜在的第四纪环境重建工具,在环境研究中有助于对天然沉积物物源特征以及风化、侵蚀、搬运和堆积过程的认识和理解.     

颗粒形状对粒状材料破碎演化规律及强度准则影响

为探讨颗粒形状对粒状材料的颗粒破碎演化规律及强度特征的影响,提出了一个新的粒状材料颗粒形状量化参数,设计了一种考虑三维颗粒形状的人工试样制备方法,随即进行了常规三轴压缩试验,并分析了颗粒破碎和强度特征,最终建立了一个二元介质强度准则,具体的研究成果为：建立颗粒形状量化参数——球形模量GM,在此基础上制备了5种不同形状的可破碎粒状材料三轴试样,并发现球形模量影响着粒状材料的三轴压缩强度特征;通过筛分确定试样的颗粒破碎情况,对试样的颗粒破碎演化规律和临界状态进行探讨,发现颗粒形状通过影响颗粒破碎规律而控制着宏观强度的非线性演化特征;以二元介质理论为基础,建立了考虑颗粒形状的可破碎粒状材料强度准则,并通过试验对其适用性进行了验证。     

黑龙江镜泊湖地区蛤蟆塘火山空落堆积物形成机制研究

火山碎屑物的粒度、粒形和分布特征蕴含着其形成机制和喷发的环境信息。基于镜泊湖地区蛤蟆塘火山的一个空落堆积剖面的野外地质和岩相学,以粒度分析和分形理论定量研究了火山碎屑物的粒度分布、粒形几何及其分形特征。蛤蟆塘火山空落碎屑粒度分布均为单峰式,由岩浆爆炸形成的空落浮岩粒度峰值较小,而由射气岩浆喷发形成的含细花岗岩碎屑夹层的碎屑粒度峰值较大。空落浮岩颗粒的类球度、长宽比和凸度都小于含细花岗岩碎屑夹层的数值,表明空落浮岩颗粒相对不规则的特点。利用多段幂律方法拟合了蛤蟆塘火山空落碎屑颗粒分布规律,发现空落浮岩颗粒存在四个幂律分布段（即对应四个分形维数）,这是由于岩浆初始破碎、火山通道内的二次破碎以及风力筛选作用等造成的;含细花岗岩碎屑夹层的碎屑分布有两个幂律分布段（对应两个明显不同的分形维数）,即浮岩和花岗岩碎屑的形成是因不同破碎机制造成的。     

考虑颗粒棱角影响的直剪试验的离散元模拟

为了研究颗粒棱角对颗粒材料力学行为的影响,建立了具有不同棱角度的对称多面体颗粒,采用了一种简单并适合任意颗粒形状的接触本构模型,对三维离散元开源程序YADE进行了修改,研究了颗粒棱角度在模拟直剪试验中的影响以及接触力各向异性在剪切过程中的演化规律。研究结果表明,颗粒棱角度越小,颗粒间相互咬合自锁的作用越小,颗粒受剪更易转动,致使颗粒体系的剪切强度和剪胀性下降;竖向加载力越大,颗粒棱角度的影响越明显;法向接触力的各向异性在剪切过程中表现为先增后减最后趋向稳定的趋势;法向接触力的各向异性变化程度随颗粒棱角度的增大而增大。