陕北黄土丘陵沟壑区土壤粒径分布分形特征

将激光衍射技术和分形分析结合,多重分形分析应用多重分形参数Rényi维数谱,研究土壤粒径分布(PSD)分形特征。结果表明:土壤PSD分形维数D在2.28～2.47之间,D与土壤黏粒含量线性相关。计算黏粒、粉粒和砂粒分形维数D黏粒、D粉粒和D砂粒,三者之间存在D黏粒D粉粒D砂粒的关系,分别用D黏粒、D粉粒和D砂粒计算分裂概率,发现小团粒具有较小的分裂概率。因此,分裂概率具有尺度依赖性,并随着土壤粒径的减小而降低。多重分形分析表明,由PSD获取的Rényi维数谱为反S型递减函数,与理论的多重分形Rényi维数谱相似,说明土壤PSD具有多重分形特征。     

伏牛山区迎河小流域不同土地利用类型的土壤粒径分布特征

为探讨伏牛山区坡耕地土壤物理性能的退化特征,在河南省鲁山县迎河小流域,利用激光粒度仪和土壤分形模型,比较分析了4种土地利用类型的土壤粒径分布(PSD)及其分形特征.研究结果表明:1)土壤PSD简单分维(Dv)以乔木林地最高(2.658),坡耕地最低(2.489),多重分维(容量维D0、信息维D1、关联维D2)以乔木林地最高(0.941、0.926、0.91),坡耕地最低(0.927、0.899、0.849).不同分形参数均表现为:坡耕地＜灌草坡地和水平梯田＜乔木林地;2)土壤PSD的Dv、D0、D1和D2,与黏粒和粉粒体积分数显著正相关,与砂粒体积分数显著负相关.因此,利用土壤PSD简单分形和多重分形维数,可量化表征土壤质地的粗细程度和非均匀性质的差别;坡耕地土壤质地的粗粒化程度和非均匀性明显大于其他土地利用类型;土壤细粒(黏粒和粉粒)物质流失是坡耕地土壤质地粗粒化和非均匀程度增大的重要原因.     

黄土丘陵区典型植被土壤剖面的颗粒分形特征

运用分形理论研究陕北安塞五里湾流域5种典型植被0～200 cm土壤剖面土壤颗粒大小分布(particle size distribution,PSD)及其体积分形维数分布特征,并进一步分析土壤PSD的分形维数与土壤有机碳、全氮和含水量的相关性。结果表明:研究区典型植被群落土壤颗粒组成主要为细颗粒(黏粒和粉粒),其中粉粒体积分数占总颗粒的56.82%～71.99%;铁杆蒿草地的细颗粒平均体积分数最大(78.86%),乔木林的最小(65.77%)。5种典型植被群落土壤PSD的体积分形维数介于2.498～2.599,均表现出随着土层深度的增加呈递增趋势;相同土层深度的分形维数呈现出铁杆蒿草地黄芪草地农田灌木林乔木林的趋势,灌木林和农田间差异不显著,其他植被群落间差异显著。典型植被土壤PSD的体积分形维数与黏粒、粉粒的体积分数和含水量呈极显著正相关(P0.01),但与砂粒的体积分数呈极显著负相关(P 0.01),与有机碳含量呈显著负相关(P 0.05)。     

不同土地利用方式下粉壤土粒径分形特征——以鄂西典型小流域下牢溪为例

为揭示鄂西地区小流域下不同土地利用方式对土壤结构和理化性质的影响,以下牢溪小流域内6种土地利用方式的土壤作为研究对象,应用分形理论研究不同土地利用方式的土壤粒径分布(PSD)及其分形特征的差异以及与土壤有机质含量的相关关系,分析土地利用方式的合理性.结果 表明:不同土地利用方式下土壤颗粒粒径中粉粒体积分数最高(78.1...     

农田土壤颗粒尺寸分布分维及颗粒体积分数的空间变异性

盐渍土膜下滴灌过程中的土壤理化性质存在空间变异性,对灌溉管理有一定影响。该文根据3个不同尺度下土壤采样及颗粒尺寸分布（PSD）测定结果,探讨了土壤PSD分维和颗粒体积分数之间的定量关系,分析了各尺度和综合尺度下土壤PSD分维和颗粒体积分数的经典统计特征和地质统计特征,根据颗粒体积分数的半方差函数计算了不同尺度颗粒体积分数的分形维,并做出了等值线图。研究表明,土壤PSD分维与黏粒的体积分数呈正相关关系,黏粒体积分数增大引起PSD分维增加的原因在于细颗粒的比表面积比粗颗粒的大;各尺度土壤PSD分维及颗粒体积分数均无强变异特征;不同尺度下土壤PSD分形维的半方差函数中块金和基台值均非常低;50 m尺度土壤PSD分维和黏粒体积分数的等值线图具有类似的集中度和走势,而砂粒体积分数和粉粒体积分数则具有相反的集中度和走势。该研究说明土壤PSD分维和颗粒体积分数都有一定的尺度依赖性。     

元谋干热河谷区土壤粒径分布分形特征

应用JL-1177激光粒度分布测试仪,获取元谋干热河谷区内三种不同土地利用方式下45个土壤样品的粒径分布(PSD),利用分形几何学方法分析土壤粒径分布分形特征。结果表明:1)元谋干热河谷区土壤分形维数D分布在1.8854~2.7709,平均值为2.2895,D值与土壤粉粒含量线性相关较显著,其大小顺序为粉壤土粉土,林地土壤草地土壤裸地土壤。2)土壤分形维数D与土壤黏粒、砂粒含量呈正相关,与粉粒含量呈负相关。3)偏相关分析表明,0.5~0.25 mm与0.05~0.02 mm粒径含量越高,土壤分形维数D越低,0.25~0.05 mm与0.02~0.002 mm粒径含量越高,土壤分形维数D越高。     

基于多重分形的半干旱区农田表层土壤粒径分布特征研究

为探明农田因管理方式不同而导致的土壤粒径分布(PSD)差异,在阴山北麓农牧交错区选择典型莜麦留茬地、翻耕耙平地、翻耕不耙平地进行了研究。试验选择表层0~10 cm土壤为研究对象,运用多重分形理论分析探讨不同管理方式下土壤颗粒的分布特征及差异。研究结果表明:不同管理方式下研究区土壤颗粒组成中黏粒含量均极低,翻耕不耙平地和莜麦留茬地以粉粒和细砂为主,翻耕耙平地以粉粒和极细砂为主;广义维数谱D(q)为反"S"型递减函数,且D_0D_1D_2,多重分形谱f(q)为左勾状单峰曲线,?α值在2.405~2.596,非均一性高,可用多重分形来表征土壤PSD特征;多重分形参数D_1、D_2同黏粒含量呈显著正相关关系,D_0/D_1与粉粒呈显著正相关关系,与砂粒成负相关关系,?f反之;管理方式对土壤PSD及多重分形参数D_0、?α、?f有显著影响(P0.05),对D_1、D_1/D_0、D_2、α0影响不显著。根据试验结果,建议当地农田在生产后进行留茬或秸秆覆盖处理,结合当地主风向选择适宜翻耕方式。     

土壤颗粒尺寸分布分维及对粘附行为的影响

依据Tyler和Wheatcraft推导的土壤颗粒累积质量—尺寸标度关系,计算了我国主要土壤的颗粒尺寸分布(PSD)分维,结果表明:淡栗钙土、黄绵土、黑垆土、褐土((土娄)土)、潮土、灰漠土、黑土、黄棕壤、黄壤、红壤及赤红壤(砖红壤)的PSD分维依次增大,土壤粘粒含量增加使其PSD分维增大。结合上壤颗粒表面分形特性及土壤粘附的基本原理,探讨了土壤PSD分维对土壤—固体表面粘附行为的影响。PSD分维高的土壤与固体表面粘附力大,与固体表面发生明显粘附的起始含水量提高,发生明显粘附的含水量区间增宽。     

陕北黄土丘陵沟壑区土壤粒径分形特征

应用MS2000激光粒度仪,获取陕北黄土高原米脂县境内10种不同土地利用类型土壤剖面4个层次40个土壤样品的粒径分布（PsD）,利用分形几何学方法分析土壤颗粒体积分形特征。结果表明：由于各土壤样品质地相同,分形维数D变化不大,在2．230～2．521之间;〈0．002mm的土壤粒径体积百分含量与D显著相关,而其余各粒径含量均通过与〈0．002mm的相关性对D产生间接影响,表明PSD的D可以充分代表土壤细化的程度与比例。土壤累积体积分数具有非线性特征,1个D值无法表征整个粒径测量范围内的土壤PSD,因此,以15脚为界,确定了2个分形域,分别计算D1和D2,存在D1〉D2的关系,且用D1和D2计算的分裂概率具有尺度依赖性。     

根据土壤粒径分形估计紫色土水分特征曲线

选择不同质地紫色土,分别根据土壤颗粒的数量和重量分布计算土壤粒径分形维数,并与Tyler和Wheatcraft土壤水分特征曲线模型的拟合分形维数进行比较分析。结果表明,三种途径获得的分形维数与土壤质地密切相关,均表现出土壤黏粒含量越高,质地越细,分形维数越高。土壤粒径数量分布分形维数(2.98～3.26)和土壤粒径重量分布分形维数(2.73～2.81)存在较大的差异,但二者间却存在显著的线性关系。土壤粒径分形维数与土壤水分特征曲线模型拟合分形维数(2.72～2.84)均存在显著的线性关系,尤其是土壤粒径重量分布分形维数与土壤水分特征曲线模型拟合分形维数数值十分接近。通过建立的土壤水分特征曲线模型分形维数与土壤粒径分布分形维数关系式,结合Tyler和Wheatcraft模型进行土壤水分特征曲线预测,预测值与实测值具有良好的一致性,因而根据土壤粒径分形预测紫色土水分特征曲线是可行的。     

绿洲农田土壤粒径分布特征及其影响因素分析──以策勒绿洲为例

以塔里木盆地南缘策勒绿洲为例,重点探讨了绿洲农田土壤粒径分布特征及其主要影响因素。基于2008年9月对策勒绿洲范围内农田表层土壤粒度测定数据,首先通过土壤粒径分布体积分形维数分析,表明绿洲农田土壤粒径分布差异性显著,并根据分析结果提出假设,认为农田利用年限及空间位置的不同是土壤粒径分布产生差异性的主要因素;其次利用排序方法对影响因素的贡献率进行定量分析,并与分维值结果进行相互验证。研究结果表明在影响土壤粒径分布差异性方面,利用年限为主导因素,其相对贡献率达67%。因此,保证农田长期合理的耕作管理方式将有助于土壤粒径分布属性的稳定及改善。     

Characterizing Spatial Variability of Soil Textural Fractions and Fractal Parameters Derived from Particle Size Distributions

Soil particle size distribution (PSD) is a fundamental physical property affecting other soil properties. Characterizing spatial variability of soil texture is very important in environmental research. The objectives of this work were: 1) to partition PSD of 75 soil samples, collected from a flat field in the University of Guilan, Iran, into two scaling domains using a piecewise fractal model to evaluate the relationships between fractal dimensions of scaling domains and soil clay, silt, and sand fractions and 2) to assess the potential of fractal parameters as an index used in a geostatistical approach reflecting the spatial variability of soil texture. Features of PSD of soil samples were studied using fractal geometry, and geostatistical techniques were used to characterize the spatial variability of fractal and soil textural parameters. There were two scaling domains for the PSD of soil samples. The fractal dimensions of these two scaling domains (D₁ and D₂) were then used to characterize different ranges of soil particle sizes and their relationships to the soil textural parameters. There was a positive correlation between D₁ and clay content (R² = 0.924), a negative correlation between D₁ and silt content (R² = 0.801), and a negative correlation between D₂ and sand content (R² = 0.913). The geometric mean diameter of soil particles had a negative correlation with D₁ (R² = 0.569) and D₂ (R² = 0.682). Semivariograms of fractal dimensions and soil textural parameters were calculated and the maps of spatial variation of D₁ and D₂ and soil PSD parameters were provided using ordinary kriging. The results showed that there were also spatial correlations between D₁ and D₂ and particle size fractions. According to the semivariogram models and validation parameters, the fractal parameters had powerful spatial structure and could better describe the spatial variability of soil texture.     

Fractal features of soil particle size distribution and the implication for indicating desertification

Some of the effects of land desertification on soil properties are manifested by the coarsening of the soil particlesize distribution (PSD) and the losses in organic C and nutrients. The changes and characteristics of PSD and selected chemical properties in soils at the 0-15 cm plough layer from different degrees of desertified croplands are analyzed in the semiarid Horqin Sandy Land, northern China. The fractal dimension of the PSD is emanated to characterize the patterns of PSD. The relationships between the fractal dimension of the PSD and selected soil properties are discussed. The results show that: (1) in the transformation from potential desertified cropland to extremely desertified cropland, the sand content at the 0-15 cm soil increased from 69% to 93%, organic C and total N contents decreased by 65% and 69%, respectively; (2) the fractal dimension of PSD ranged from 2.179 to 2.611, the more the contents of sand, the lower the fractal dimension and the higher the desertified degree of farmland. In the desertification process within the studied area, the mean fractal dimension decreased from 2.555 for the potential desertified soils to 2.298 for extremely desertified soils; (3) there existed considerable linear relationships between fractal dimension and soil properties. It was shown that fractal dimensions of PSD are useful parameters able to monitor soil degradation and to estimate the degree of soil desertification.     

广东省不同母质发育土壤颗粒分布的分形维数特征

采集广东省主要成土母质(玄武岩、砂页岩、第四纪红土和花岗岩)发育的林地、耕地和园地土壤剖面各发生层土壤,测定了土壤颗粒组成、有机质、CEC等理化性质,探讨了不同母质发育土壤颗粒分布的分形维数特征及其与土壤理化性质的关系。结果表明,玄武岩、第四纪红土、花岗岩和砂页岩发育土壤分形维数变幅分别为2.923 9~2.981 2,2.858 8~2.937 7,2.769 3~2.923 1和2.544 6~2.885 6;玄武岩和第四纪红土发育土壤颗粒分布分形维数与砂页岩发育土壤存在显著差异。土壤颗粒分布的分形维数随土壤深度增加呈增大的趋势,相同母质发育土壤的深层土壤颗粒分布的分形维数接近一致。玄武岩和第四纪红土发育土壤颗粒分布的分形维数在不同深度土壤之间变幅较小,砂页岩和花岗岩发育土壤变幅较大。土壤颗粒分布的分形维数与砂粒含量呈极显负相关,与黏粒含量呈极显著正相关,与土壤全磷、速效钾、全铁、CEC、有机质、全氮、碱解氮呈极显著或显著正相关;土壤颗粒分布的分形维数可以作为表征土壤肥力状况指标。     

重庆缙云山典型林分土壤结构分形特征

 为了解长江三峡库区森林土壤的物理性质,运用分形原理,研究重庆缙云山4种典型林分林地土壤分形特征,建立土壤结构分维与土壤性质预测模型,运用弹性分析与边际分析,探讨土壤结构分形变化与土壤性质变化的关系。研究表明:土壤机械组成分维、微团聚体组成分维和孔隙组成分维可作为评价土壤结构的指标。不同林分林地土壤颗粒机械组成分维值为2.7～2.9,土壤微团聚体组成分维为2.5～2.8,土壤孔隙组成分维为2.3～2.8。从质地、微团聚体组成和孔隙组成来看,常绿阔叶灌丛土壤结构要明显优于其他林地土壤,而楠竹林最差。不同林分及农地土壤的微团聚体组成、机械颗粒组成和孔隙组成分维与土壤性质存在较明显相关关系,相关系数都在0.5以上。由弹性系数和边际量可以看出,机械分维的影响要大于微团聚体分维和孔隙组分维。这对进一步探讨分形学在土壤结构与土壤性质的应用方面有重要的意义。     

土壤水分特征曲线的分形模拟

Many empirical models have been developed to describe the soil water retention curve （SWRC）. In this study, a fractal model for SWRC was derived with a specially constructed Menger sponge to describe the fractal scaling behavior of soil; relationships were established among the fractal dimension of SWRC, the fractal dimension of soil mass, and soil texture; and the model was used to estimate SWRC with the estimated results being compared to experimental data for verification. The derived fractal model was in a power-law form, similar to the Brooks-Corey and Campbell empirical functions. Experimental data of particle size distribution （PSD）, texture, and soil water retention for 10 soils collected at different places in China were used to estimate the fractal dimension of SWRC and the mass fractal dimension. The fractal dimension of SWRC and the mass fractal dimension were linearly related. Also, both of the fractal dimensions were dependent on soil texture, i.e., clay and sand contents. Expressions were proposed to quantify the relationships. Based on the relationships, four methods were used to determine the fractal dimension of SWRC and the model was applied to estimate soil water content at a wide range of tension values. The estimated results compared well with the measured data having relative errors less than 10% for over 60% of the measurements. Thus, this model, estimating the fractal dimension using soil textural data, offered an alternative for predicting SWRC.