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基于分形理論的土壤粗糙指數(shù)與孔隙率映射規(guī)律研究
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國家自然科學基金資助項目(30871454,、30671715);中德科學中心資助中德聯(lián)合研究小組項目(GZ494);中國農(nóng)業(yè)大學基本科研業(yè)務(wù)專項資金資助項目(15059201)


Relationship between Soil Surface Porosity and Roughness Indices Based on Fractal Theory
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    摘要:

    為建立土壤表層孔隙率與表面粗糙程度之間的關(guān)系,,提出了一種采用立體表面積對土壤表面粗糙性狀進行覆蓋的分形分析方法,。該方法結(jié)合地面激光掃描儀快速測得的地表原始不平度數(shù)據(jù),,可直接測定出土壤表面分維值D∈[2,3),。為進一步探討地表粗糙的細節(jié)信息,,將立體表面積法引入到多重分形分析中,,計算了各多重分形的譜參數(shù),。分析結(jié)果表明,,單一分形維數(shù)Dl,、Dr,多重分形譜參數(shù)α|fmax,、Δα均能夠有效地反映地表粗糙程度,,在忽略耕作方式影響的前提下,α|fmax與表層土壤孔隙率的線性相關(guān)性最高(R2=0.7014),。因此利用土壤表層粗糙程度的分形參數(shù)進行土壤表層孔隙率的預(yù)測是可行的,。

    Abstract:

    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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王聰穎,張慧娟,孫宇瑞,林劍輝.基于分形理論的土壤粗糙指數(shù)與孔隙率映射規(guī)律研究[J].農(nóng)業(yè)機械學報,2011,42(11):32-38. Wang Congying, Zhang Huijuan, Sun Yurui, Lin Jianhui. Relationship between Soil Surface Porosity and Roughness Indices Based on Fractal Theory[J]. Transactions of the Chinese Society for Agricultural Machinery,2011,42(11):32-38.

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