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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(xué)基金資助項目(30871454、30671715);中德科學(xué)中心資助中德聯(lián)合研究小組項目(GZ494);中國農(nóng)業(yè)大學(xué)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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    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(jìn)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(jìn)一步探討地表粗糙的細(xì)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(jìn)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(jī)械學(xué)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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