利用小角度激光光散射研究阳离子有机高分子絮凝剂的絮体粒径和絮体结构

利用小角度激光光散射在线监测技术研究了不同阳离子有机高分子絮凝剂对带负电荷的高岭土颗粒体系的絮凝动力学和絮体结构.对于高电荷密度的聚二甲基二烯丙基氯化铵(PDADMAC),由于分子量低其初始絮凝反应速度较慢,最终形成的絮体也较小.絮凝过程中,其絮体结构发生重组和排列,分形维数从1.83升高到2.09,所形成的絮体密实.对于低电荷密度的2种阳离子聚丙烯酰胺(CPAM),因其分子量大投药量高,絮凝反应速度较快;但其絮体的分形维数较小且在絮凝反应中基本保持不变,形成的絮体结构开放和松散.基于有机高分子对高岭土体系浊度和zeta电位的影响,结合絮凝动力学和絮体结构分析,结果表明,PDADMAC絮凝机理是电中和作用,而随着分子量的增加和电荷密度的降低,CPAM则主要通过吸附架桥作用产生絮凝.     

小流域土壤矿质氮与地形因子的关系及其空间变异性研究

为掌握小流域土壤特性与地形因子的关系及其空间变异规律,采用经典统计学与地统计学相结合的方法,对黄土高原水蚀风蚀交错带小流域土壤矿质氮与地形因子的关系及其空间变异性进行了系统研究,结果表明:①硝态氮的变异程度为强变异性,铵态氮、坡度、坡向则为中等变异性,土壤类型、土地利用对矿质氮的变异程度有极显著影响;②各研究特性在采样尺度内表现出不同程度的空间依赖性,铵态氮、海拔为强烈的空间依赖性,而硝态氮、坡度及坡向则为中等的空间依赖性;③分维数与空问异质比所揭示的结果具有一致性,各变量的分维数从大到小依次为:硝态氮(1.982 6)＞坡向(1.976 7)＞坡度(1.9420)＞铵态氮(1.879 1)＞海拔(1.746 1);④硝态氮在0°与90°,45°与135°方向上具有各向同性结构,而海拔为各向异性结构,其余的研究特性则表现出微弱的各向异性;⑤海拔、铵态氮具有很强的空间自相关性,硝态氮则为空间不相关;硝态氮与铵态氮、坡度与坡向之间具有极显著的正相关性,而铵态氮与海拔、坡度与海拔之间则为显著的负相关,表明在水蚀风蚀交错带铵态氮和坡度的空间分布具有海拔梯度性.     

颗粒物表面酸碱特性与孔表面分形的研究

通过电位滴定试验,证明了5种颗粒物的表面存在着一定量的OH-受体,其表面位浓度(Hs)在0.1219～0.3134 mmo.·L-1之间,表面位密度(DoH)在0.8586～2.1305个·nm-2之间,且不同采样点的颗粒物,其表面位浓度和表面位密度差别很大.所采集的5种颗粒物的孔结构接近平行板狭缝,孔尺寸分布不是均一的,平均孔径分布范围较宽(1.8～76nm);BET比表面积为9.5669～34.5605 m2·g-1,累积脱附孔体积为0.01729～0.06711 cm3·g-1,BJH脱附平均孔径为5.6768～7.7388nm,处于中孔范围,且平均孔径均大于其PSD峰值对应的孔径.通过分形FHH方程模拟N2吸附和脱附等温线数据计算出这些颗粒物的孔表面分形维数Ds比较接近(2.68～2.82之间),但它们的分形标度区间不同.另外,采用热力学模型和分形FHH理论计算出的表面分形维数的差异主要归因于这些样品孔尺寸分布的不均一性.     

地震前兆混沌时间序列多尺度分维异常识别研究

对地震前兆观测时间序列的混沌性态及其产生的根源进行了探讨。根据小波变换良好的时、频局部化特征和分形维数的变化特征,从小波分析多尺度分解的角度出发结合分形理论探讨了地震前兆混沌时间序列的异常识别问题。对几个实例的研究表明,大多数时间段内时间序列小波变换系数的分维—尺度变化曲线呈光滑、缓慢减小变化,有异常信息时段的时间序列小波变换系数的分维—尺度变化曲线变化的主要特点是曲线具有峰值,并出现了曲线先是由高向低,然后再由低向高变化,在某一尺度处达到峰值后再缓慢减小的情况。异常出现的时间在震前约2个月至1年。将小波变换与分形理论结合起来研究地震问题,不仅开拓了地震科学研究的新领域,同时也是对小波变换及分形理论应用的延拓。     

微波辐射对净水厂污泥脱水性能及分形结构的影响

对净水厂污泥在2450MHz微波作用下的调质效果进行了研究,结果表明,污泥比阻随着微波功率的增大和辐射时间的增长而下降,700W微波辐射10min能使500ml含水率为98%的污泥比阻下降73%,经微波调质(700W,5min)后,污泥颗粒变得粗大化,30-50μm范围内的污泥颗粒数增多,平均粒径由30.73μm增加至33.29μm;污泥颗粒的分形维数由1.712提高到1.724.     

Statistical detection of multiscale landscape patterns

Detection of discontinuities in landscape patterns is a crucial problem both in ecology and in environmental sciences since they may indicate substantial scale changes in generating and maintaining processes of landscape patches. This paper presents a statistical procedure for detecting distinct scales of pattern for irregular patch mosaics using fractal analysis. The method suggested is based on a piecewise regression model given by fitting different regression lines to different ranges of patches ordered according to patch size (area). Proper shift-points, where discontinuities occur, are then identified by means of an iterative procedure. Further statistical tests are applied in order to verify the statistical significance of the best models selected. Compared to the method proposed by Krummel et al. (1987), the procedure described here is not influenced by subjective choices of initial parameters. The procedure was applied to landscape pattern analysis of irregular patch mosaics (CORINE biotopes) of a watershed within the Map of the Italian Nature Project. Results for three different CORINE patch types are herein presented revealing different scaling properties with special pattern organizations linked to ecological traits of vegetation communities and human disturbance.     

长江三角洲都市连绵区城市体系的分形特征

分形研究是现代理论地理的重要内容之一,分形维数是刻画城市体系结构的有效参数。为定量分析长江三角洲都市连绵区城市体系的分形特征,通过计算豪斯道夫维数分析了长江三角洲城市体系规模分布的分形特征,通过计算关联维数和集聚维数,从城市要素的空间相关性和城市随机集聚的向心性两方面,分析了长江三角洲都市连绵区城市体系空间结构的分形特征。测算结果表明：（1）城市体系规模结构符合位序 规模分布类型,但首位城市的垄断性还很强,处于由首位型分布向序列型分布转变的过程之中,中间位序的城市数量偏少,城市之间呈竞争发展态势;（2）城市体系空间结构呈现出均匀分布的特征,城市的空间关联性强,空间相互作用强度大。在上述结论的基础上对长江三角洲都市连绵区城市体系的优化发展提出了建议.     

鄱阳湖生态经济区城市体系空间结构分形特征分析

为探讨鄱阳湖生态经济区城市体系空间结构特征,利用分形模型,分别测算了鄱阳湖生态经济区城市体系的集聚维、网格维和关联维。研究表明：(1）南昌市和九江市在鄱阳湖生态经济区城市体系自组织演化过程中核心作用明显（集聚维数分别为1.042 5和1.151 6）,前人认为该区域城市体系具有双核结构特征,集聚维数的测算从城市自组织演化角度印证了该论点;(2）研究区城市体系在空间上以线（如公路、铁路）为轴线展布（容量维（1.035 6）、信息维（107）、关联维D→1）,区域内各主要城市之间通达性良好（牛鸦维数比Q=0.941 6）;(3）区域内城市体系系统演化动力比较单一（D1≈D0）,自组织演化过程中明显受到鄱阳湖平原水陆生态系统的驱动     

Fractal structures of single-walled carbon nanotubes in biologically relevant conditions: Role of chirality vs. media conditions

Aggregate structure of covalently functionalized chiral specific semiconducting single-walled carbon nanotubes (SWNTs) was systematically studied employing static light scattering (SLS). Fractal dimensions (D_f) of two specific chirality SWNTs—SG65 and SG76 with (6, 5) and (7, 6) chiral enrichments—were measured under four biological exposure media conditions, namely: Dulbecco’s Modified Eagle Medium (DMEM), Minimum Essential Medium (MEM), Roswell Park Memorial Institute (RPMI) 1640 medium, and 0.9% saline solution. The SWNTs exhibited chiral dependence on D_f with SG65 showing more fractal or loosely bound aggregate structures, i.e., lower D_f values (range of 2.24 ± 0.03 to 2.64 ± 0.05), compared to the SG76 sample (range of 2.58 ± 0.13 to 2.90 ± 0.08). All the D_f values reported are highly reproducible, measured from multiple SLS runs and estimated with ‘random block-effects’ statistical analysis that yielded all p values to be <0.001. The key mechanism for such difference in D_f between the SWNT samples was identified as the difference in van der Waals (VDW) interaction energies of these samples, where higher VDW of SG76 resulted in tighter packing density. Effect of medium type showed lower sensitivity; however, presence of di-valent cations (Ca²⁺) in DMEM and MEM media resulted in relatively loose or more fractal aggregates. Moreover, presence of fetal bovine serum (FBS) and bovine serum albumin (BSA), used to mimic the in vitro cell culture condition, reduced the D_f values, i.e., created more fractal structures. Steric hindrance to aggregation was identified as the key mechanism for creating the fractal structures. Also, increase in FBS concentration from 1% to 10% resulted in increasingly lower D_f values.     

微污染矿井水中微絮体的形成及分形特征

利用分形理论阐述了微污染矿井水中微絮体形成的分形生长特征,考察了微絮体形成过程中的影响因素,探讨了微絮凝机理,利用絮体的分形维数表征各影响因素对微絮体形态的作用结果,结果表明,微絮体形态与其分形维数之间具有良好的相关性,且分形维数越大,微絮体更加紧实,越易于沉降,滤后水的浊度越小;同时考察了微量铁锰离子对微絮体形态的影响,为微絮凝深床过滤工艺参数的改进提出了建议.