珊瑚砂大剪切应变下的剪切特性和分形维数

利用Wille Geotechnik环向剪切仪对3种不同粒径的珊瑚砂进行了大剪切位移的环向剪切试验,探讨了颗粒破碎对珊瑚砂强度和残余应变发展的影响。试验结果表明：颗粒破碎随着剪切位移的增加逐渐增加,且初始粒径较大的均匀级配珊瑚砂粒径越大颗粒破碎越多。颗粒破碎对峰值强度和残余强度无影响,但对珊瑚砂的体积应变有显著影响,颗粒破碎较多的试样其体积应变也较大。建立了考虑长宽比、球形度和凹凸度的分形维数计算公式。由于颗粒破碎后颗粒形状在全粒径范围内的自相似性和无尺度性,考虑颗粒形状与不考虑颗粒形状的公式计算得到的珊瑚砂分形维数基本一致。     

基于分形理论研究土壤结构及其水分特征关系

为定量获得土壤结构对其水力性质的指示作用,室内实验选用华北平原子牙河流域原状土样为研究对象,用张力计法和激光粒度分析仪分别测定土壤水分特征曲线和样品粒度分布,基于分形理论计算土壤粒度分布的分形维数,采用实验测定与模型验证相结合的方法对水分特征曲线进行分析.结果表明,土壤颗粒粒度分布在[10 μm,50 μm]区间内的分段分维值是表征土壤粒度累积分布显著上升段特征的关键参数,与0~80 kPa吸力范围内的土壤水分特征曲线幂函数模型拟合参数(a、b)有极显著相关关系.研究区内土壤水分特征曲线以分形形式表达的幂函数模型为:θ=100.78×(3-D)S(D-3)/3,利用土壤结构分形特征能够有效指示其水力性质.      

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。     

岩石颗粒破碎的尺寸效应

固体颗粒破碎强度的尺寸效应是一种普遍存在的现象,冰块、岩石颗粒、陶瓷和混凝土块等的破碎强度都表现出随颗粒直径增加而减小的现象,分形模型为解释固体颗粒破碎强度的尺寸效应提供了可行的方法。本文采用Steacy和Sammis分形模型模拟了岩石颗粒压碎特征,分析岩石颗粒破碎后的颗粒分布规律,给出颗粒破碎分维的确定方法,建立颗粒压碎强度与粒径的理论关系,颗粒破碎强度与颗粒粒径的关系用分维D表示为fdD-3。已有的颗粒破碎分布的数据表明,岩石颗粒破碎的分维大约为2.50～2.60,颗粒破碎强度符合用分维表示的尺寸效应。     

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。     

Fractal characteristics of loess formation: evidence from laboratory experiments

The fractal is presented as a method for describing the geometry of particles, with particular reference to the breakdown of granular soils and the formation of loess. The preliminary results are reported: (a) for the extent to which silt due to comminution exhibits a fractal distribution; (b) the tendency of fractal dimension to change with the comminution process; and (c) the relationship between fractal dimension describing particle size distribution and the grinding time. Laboratory simulation confirms the general tendency of fractal characteristics to reflect the size reduction process.     

渝东南岩溶山区耕地利用变化下土壤颗粒体积分形特征研究

通过对重庆东南部喀斯特山区的野外调查采样和室内粒度分析,利用土壤颗粒体积分维模型,分析了该区域耕地土壤与撂荒地土壤颗粒体积分形维数特征,探讨了颗粒体积分形特征与颗粒体积含量的关系。研究结果表明:土壤颗粒体积分形维数与土壤中粘粒(<0.002mm)含量呈明显的线性相关,表现为粘粒含量越高的土壤,其分形维数也越高。土壤粘粒含量与土壤颗粒体积分形维数在不同土地利用方式的土壤剖面上表现出相同的变化规律。土壤分形维数不仅受粘粒含量的支配,还与土壤质地的均一程度有关,分形维数与土壤质地均匀指数表现出一定的相关性,但相关性较弱。耕地土壤分形维数值(平均值为2.5065)大于撂荒地分形维数值(平均值为2.4835),说明岩溶区人类农耕活动对土壤质地尤其是粘粒含量影响明显。土壤体积分形维数可以作为区域耕地土壤质量评价指标之一。      

钙质砂一维蠕变分形破碎特性宏微观试验研究

钙质砂是远洋地区港口、机场和民用建筑等构筑物的天然地基材料。通过钙质砂一维压缩蠕变试验和微观结构测试,发现了蠕变前后表面孔隙面积减小且呈分散分布的规律以及试验过程中试样瞬时变形、快速变形和衰减变形特征与粒径的高度相关性;利用基于分形理论改进的相对颗粒破碎率和质量分形维数描述了蠕变前后颗粒破碎程度,得到了分形维数和蠕变与时间的衰减形态曲线关系以及宏观质量分形维数和微观表面分形维数的线性关系,并在此基础上对单一粒径组钙质砂蠕变过程中的分形破碎行为进行了多尺度分析和宏微观跨尺度关联性研究,获得了蠕变过程中颗粒破碎发展以及微观孔隙变化规律,证明了钙质砂蠕变过程中的颗粒重组排列、破碎和研磨行为,揭示了钙质砂蠕变机制。     

九龙江河口枯季沉降颗粒物及其地球化学组成研究

2009年3月28—29日在九龙江河口区采用自制沉积物捕获器分层收集沉降颗粒物,分别进行了扫描电镜、激光粒度和ICP—MS分析,并研究了沉降颗粒物的垂直通量。结果表明：各站各层沉降颗粒物类型以生物和矿物颗粒为主,絮凝体类型各站各层有所不同。各站各层之间粒度参数的变化主要是受絮凝作用的影响所致,沉降颗粒物垂直通量在各海域...     

Changes in fine sediment size distributions due to interactions with streambed sediments

In the classical view of fine sediment transport and deposition in streams, particles are expected to be removed from flowing water simply by direct sedimentation onto the streambed. However, recent research has demonstrated that fine sediments can propagate into pore spaces in the streambed due to hyporheic exchange and be removed by a combination of physical and chemical processes. This behaviour can significantly alter fine sediment size distributions during in-stream sediment transport because the physical transport of fine particles and their attachment to bed sediment grains are both a function of the particle size. Herein, we present model simulations for deposition of suspended sediments with a bimodal size distribution. We also applied this approach to analyse the results of laboratory flume observations of suspended sediment deposition. Results from model simulations and flume experiments clearly show that the rate of particle deposition increases with increasing particle size. Thus, the larger particles are preferentially removed from mixtures and there is a fining of the mixed suspensions over time. Both particle deposition mechanisms, i.e. particle sedimentation and filtration, contribute to the fining of the mixed fine particle suspensions over time, and their effects are clearly demonstrated using the fundamental process-based model. These results clearly demonstrate the effects of stream-subsurface exchange on the temporal evolution of the suspended fine sediment size distribution in downstream transport.     

A new fractal modification of ultrasonic attenuation model for measuring particle size in mineral slurries

Weight percentages of different size incremental particles in a mineral slurry is integrated into the ultrasonic attenuation model to derive a relation between ultrasonic attenuation and particle sizes. However, in the inertial and scattering regimes of frequency–radius space, irregularity and aggregation of particles can results in values of ultrasonic attenuation that are significantly different from those predicted by the derived model, which is based on the assumption of separated smooth spherical particles in mineral slurries. Experimental attenuation data obtained previously from mineral slurries of iron ores particles are compared with predicted values. It is shown that there is a negligible difference between predictions and experimental data. A new modification of theoretical model for ultrasonic attenuation is derived. The theory uses ωτ_v or κR as a fractal scale. It requires an empirical determination of the difference between the fractal dimension of the measured mineral slurry and that of a hypothetical slurry of spheres with the same particle size distribution. The new fractal modification of ultrasonic attenuation model is found to enable better agreement with measured attenuation as a function concentration for irregular particles than the theoretical model. Moreover, the fractal approach is found to discriminate between the effects of particle irregularity and aggregation.     

Subsidence breccias in kimberlite pipes—an application of fractal analysis

A particular variety of volcanogenic country rock breccia is described; a contact breccia that has been identified at Venetia, River Ranch and Wimbledon kimberlite pipes. The contact breccia is clast supported with no juvenile kimberlite component, has tightly packed, angular fragments (with occasional rounding of smaller particles), and has a shear-fabric dipping towards the center of each kimberlite pipe or volcanic event. Clasts have preferred orientations parallel to the fabric. Photographs of the breccia in the open pit face and measured data from drill core are analyzed specifically to quantify the clast size distributions and clast shapes by means of fractal analysis. The fractal dimension is one means of characterizing the breccia because the dimension can be specific to a fragmentation mechanism. Clast size distribution fractal dimensions in the coarser particles (greater than circa 3 cm) range from greater than 3 for nonsheared breccia, down to circa 2.3 for the sheared breccia. Breccia characterization based on this fractal analysis suggests that fragmentation occurred initially from confined high-energy explosions, followed by collapse and abrasion by subsequently gravity-induced rockmass subsidence. All studied contact breccias produced a distinctive fractal signature in the finer particles (<3 cm) of circa 1.6 that can be explained by a comminution fragmentation process in that particular particle size range. It is suggested that these subsidence breccias require a substantial volume deficit at depth within the volcanic pipe in order to explain their origin and size. The methodology used in this study could be used to characterize any other volcanic breccia and further model their origins.     

地基处理中孔隙水压力及地表沉降的分形特征

应用分形几何理论对地基处理中地表沉降值和孔隙水压力值进行了分形几何研究 ,发现孔隙水压力及地表沉降具有多层次的分形几何特征 ,结合实际工程 ,确定了划分界限 ,并建立了分维数与固结度、分维数与沉降量的相关关系曲线 ,得出了相关关系方程 ,利用此方程可以对地基土的固结变形进行预报     

Thorium adsorption in the ocean: reversibility and distribution amongst particle sizes

Experiments have been carried out to determine whether the adsorption of Th by marine suspended particles is a reversible process. The results indicate reversibility on a time scale of hours. The distribution of Th between the ‘dissolved’ state (<0.22 μm particle size) and various particle size fractions has been compared with predictions based on a hyperbolic size distribution of marine particles assuming spherical geometry and surface adsorption. Thorium is present in small particles to a much smaller degree than such a model would predict, so that the use of 1 μm pore size filters to separate ‘dissolved’ and ‘particulate’ Th does not introduce serious errors. The implications of these results on the reversible exchange model of Bacon and Anderson (1982) and on the settling model of Tsunogai and Minagawa (1978) are discussed.     

Estimating the settling velocity of bioclastic sediment using common grain‐size analysis techniques

Most techniques for estimating settling velocities of natural particles have been developed for siliciclastic sediments. Therefore, to understand how these techniques apply to bioclastic environments, measured settling velocities of bioclastic sedimentary deposits sampled from a nearshore fringing reef in Western Australia were compared with settling velocities calculated using results from several common grain‐size analysis techniques (sieve, laser diffraction and image analysis) and established models. The effects of sediment density and shape were also examined using a range of density values and three different models of settling velocity. Sediment density was found to have a significant effect on calculated settling velocity, causing a range in normalized root‐mean‐square error of up to 28%, depending upon settling velocity model and grain‐size method. Accounting for particle shape reduced errors in predicted settling velocity by 3% to 6% and removed any velocity‐dependent bias, which is particularly important for the fastest settling fractions. When shape was accounted for and measured density was used, normalized root‐mean‐square errors were 4%, 10% and 18% for laser diffraction, sieve and image analysis, respectively. The results of this study show that established models of settling velocity that account for particle shape can be used to estimate settling velocity of irregularly shaped, sand‐sized bioclastic sediments from sieve, laser diffraction, or image analysis‐derived measures of grain size with a limited amount of error. Collectively, these findings will allow for grain‐size data measured with different methods to be accurately converted to settling velocity for comparison. This will facilitate greater understanding of the hydraulic properties of bioclastic sediment which can help to increase our general knowledge of sediment dynamics in these environments.     

含水状态下弱风化泥质粉砂岩冲击破碎的分形规律研究

水对岩石的物理力学性质影响较大,研究不同含水状态下岩石受冲击荷载后破碎物的分形规律具有较强的现实意义。借助于分离式霍普金森杆（SHPB）实验装置,开展不同含水状态的泥质粉砂岩的冲击试验,然后对破碎物的块度分布进行深入分析,并基于尺寸-频率分析方法,重点对破碎物颗粒粒径分布的分形规律进行探讨。结果表明,随着加载速率的提高,泥质粉砂岩冲击破碎物单块体积普遍减小,残留碎块的数量越多,破碎的程度也越高,此时分形维数越小;含水率越大,小颗粒比例越大,岩样破碎程度越高,饱水状态岩样的分形维数较其他两种状态大,天然含水状态和自然吸水状态岩样冲击破碎的分形维数较为接近;当冲击速度较大时其将成为影响分形维数的主要因素,含水率的影响相对较小。     

粗粒料级配缩尺后最大干密度试验研究

对某级配粗粒料,采用剔除法、等量替代法、相似级配法和混合法等4种不同缩尺方法,依据规范要求进行缩尺。缩尺后替代级配料的最大颗粒粒径分别为20、40、60 mm。对各替代级配料采用振动台法进行了最大干密度试验,基于试验成果,结合分形理论,提出了一种将最大干密度与级配及细粒含量之间关系归一化的方法,并拟合了最大干密度与试验前级配的分形维数、小于5 mm颗粒的含量及最大粒径之间的关系,据此可推求出原型级配料的最大干密度,探讨了缩尺方法对替代料试验前后粒径分布曲线变化幅度的影响,总结出颗粒破碎分形维数与试验前级配的分形维数、小于5 mm颗粒含量及最大粒径之间的关系式,据此可推求出填筑后原型级配料的颗粒破碎分形维数。     

基于离散元法的砂石混合体直剪试验结果分析

砂石混合体由力学性质以及结构相差极大的材料组成,其组成的重塑地层易发生塌陷等问题,因此对砂石混合体力学特性的研究具有重要的工程意义。砾石形状是砂砾石力学特性研究的重要属性参数,但采用规则图形对砾石进行描述不能反映出其真实的力学性质,采用数字图像处理技术构建的砾石数据库能反映砾石真实形状并可对特定形状参数进行具体分析。由于砂石混合体的粒径分布较广,采用特征粒径等无法描述整体粒度分布,故本文结合分形理论构建砂石混合体的二重分形结构模型,通过粒度分维值反演出完整的级配分布曲线。考虑到砂石混合体离散型的特点,采用离散元软件进行直剪试验数值模拟并对细观结构进行分析,研究结果表明,砂石混合体一般具有2个粒度分维值:砂粒度分维值和砾石粒度分维值,砂、砾石粒度分维值越接近,抗剪强度和内摩擦角越大;当两者相等时,砂石混合体具有一重分维,此时均一性最好,抗剪强度和内摩擦角最大;轴向系数是形容砾石形状的一个重要参数,随着轴向系数的增加,砾石显示出明显的条状性,在直剪试验中抗转动能力增强、周围接触数量增加,导致抗剪强度和内摩擦角不断增加。     

基于尺寸效应的粗粒土单颗粒破碎试验及数值模拟

在外荷载等因素作用下,粗粒土易发生颗粒破碎。对泥岩和砂岩颗粒进行了一系列的单颗粒破碎试验,基于尺寸效应和颗粒破碎分形模型,研究了单颗粒破碎强度、破碎能量及Weibull模量等与分形维数间的关系。利用PFC3D对单颗粒破碎过程进行分析,并与试验数据对比,验证了数值程序的可靠性;随后扩展到大颗粒粒径,分析了其单破碎强度及破碎能量。结果表明：在同类试验条件下,不同材料所得的分形维数是不同的;不同粒径砂岩的破碎程度均大于泥岩;单颗粒破碎强度具有明显的尺寸效应;单颗粒破碎强度与破碎能量均可通过分形维数与颗粒粒径预测得出;修正后的Weibull模量也可通过分形维数得出;数值模拟结果与试验结果及预测结果基本一致;大颗粒粒径单颗粒破碎强度模拟结果与预测结果基本一致,破碎能量稍有差异,需进一步试验验证。研究成果可为获取大粒径粗粒土的单颗粒强度与变形特性提供参考。     

基于SEM图像的既有地基红黏土颗粒微观结构及分形特征研究

采用IPP（Image-Pro Plus）图像分析软件对贵州省贵阳市某工厂三种既有地基红黏土SEM图像的信息进行提取和处理,定性描述和定量分析土体的微观结构,并引入分形理论分析SEM图像,提出在IPP软件中获取颗粒三维分形维数的计算方法。结果表明:（1）抗剪强度参数随微观颗粒数、颗粒形态比的增大而增大,随颗粒平均面积的增大而减小;（2）颗粒分布及形态均具有明显的分形特征,分形维数介于2~3之间,抗剪强度参数均随颗粒分布及形态分维值的增大而增大;（3）与构建三维模型的方法相比,利用IPP软件计算土颗粒三维分形维数的方法具有可行性,简单易操作,结果可靠。