Position: Home > Articles > Relationship between Soil Surface Porosity and Roughness Indices Based on Fractal Theory
Transactions of the Chinese Society for Agricultural Machinery
2011,42
(11)
32-38
基于分形理论的土壤粗糙指数与孔隙率映射规律研究
作 者：
王聪颖;张慧娟;孙宇瑞;林剑辉
单 位：
中国农业大学信息与电气工程学院;北京林业大学工学院
关键词：
土壤表层孔隙率;土壤表面粗糙度;分形;立体表面积
摘 要：
为建立土壤表层孔隙率与表面粗糙程度之间的关系,提出了一种采用立体表面积对土壤表面粗糙性状进行覆盖的分形分析方法。该方法结合地面激光扫描仪快速测得的地表原始不平度数据,可直接测定出土壤表面分维值D∈[2,3)。为进一步探讨地表粗糙的细节信息,将立体表面积法引入到多重分形分析中,计算了各多重分形的谱参数。分析结果表明,单一分形维数Dl、Dr,多重分形谱参数α|fmax、Δα均能够有效地反映地表粗糙程度,在忽略耕作方式影响的前提下,α|fmax与表层土壤孔隙率的线性相关性最高(R2=0.701 4)。因此利用土壤表层粗糙程度的分形参数进行土壤表层孔隙率的预测是可行的。
译 名：
Relationship between Soil Surface Porosity and Roughness Indices Based on Fractal Theory
作 者：
Wang Congying1 Zhang Huijuan1 Sun Yurui1 Lin Jianhui2 (1.College of Information and Electrical Engineering,China Agricultural University,Beijing 100083,China 2.School of Technology,Beijing Forestry University,Beijing 100083,China)
关键词：
Surface porosity,Soil roughness,Fractal,3-D surface area
摘 要：
With the aim to establish the relationship between soil surface porosity and surface roughness,a fractal analysis procedure based on 3-D surface area calculation was proposed,which applied a surface unit to cover the soil roughness characteristics.Using the soil surface unevenness data measured by a laser profiler,the method could derive the fractal dimension of soil surface directly(D∈[ 2,3)).Furthermore,3-D surface area method was also introduced into multi-fractal spectrum analysis for investigating fine scale information.The statistical analysis demonstrates that fractal dimension Dl,Dr,and multi-fractal parameters α|fmax,Δα can reflect the change process of soil surface roughness effectively regardless the influence of different tillage types.In this case,α|fmax fitted a linear relation to porosity with the value of R2= 0.7014,which showed potential to be a meaningful indictor for surface porosity estimation.
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