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ZHAN Wei-hua, HUANG Guan-hua. A Review of Study on Fractals of Soil Hydraulic Properties[J]. Advances in Water Science, 2000, 11(4): 457-462.
Citation: ZHAN Wei-hua, HUANG Guan-hua. A Review of Study on Fractals of Soil Hydraulic Properties[J]. Advances in Water Science, 2000, 11(4): 457-462.

A Review of Study on Fractals of Soil Hydraulic Properties

Funds:  The project is supported by National Natural Science Fund of China (No.59879028).
  • Received Date: 1999-07-13
  • Rev Recd Date: 1999-11-10
  • Publish Date: 2000-10-25
  • In this paper,describing soil structure and characterizing soil hydraulic properties with fractal theory are reviewed since 1980s.Based on the theory,the fractals of porous media are characterized by fractal dimensions of soil pores,particle-size distribution and particle surface or volume of soils,and the fractal models of soil water retention characteristics and hydraulic conductivity are determined accordingly.Also the advances of fractal theory in hydraulic properties are discussed.
  • [1] 张福锁,龚元石,李晓林.土壤与植物营养研究新动态(第三卷)[M].北京:中国农业出版社,1995.51-67.
    [2] Arya L M,Paris J F.A physicoempirical model to predict the soil moisture characteristic from particle-size distribution and bulk density data[J].Soil SCi Soc Am J,1981,45: 1023-1030.
    [3] Tyler S W,Wheatcraft S W.Application of fractal mathematics to soil/water retention estimation[J].Soil Sci Soc Am J,1989,53:987-996.
    [4] Rieu M,Sposito G.Fractal fragmentation,soil porosity and soil/water properties.Ⅰ.Theory[J].Soil Sci Soc Am J,1991,55:1231-1238.
    [5] Rieu M,Sposito G.Fractal fragmentation,soil porosity and soil/water properties: Ⅱ.Applications[J].Soil Sci Soc Am J,1991,55:1239-1244.
    [6] 谢和平.岩土介质的分形孔隙和分形粒子[J].力学进展,1993,23(2):145-164.
    [7] Turcotte D L.Fractals and fragmentation[J].J Geophysical Res,1986,91(B2): 1921-1926.
    [8] Tyler S W,Wheatcraft S W.Fractal scaling of soil particle-size distributions: analysis and limitations[J].Soil SCi Soc Am J,1992,56:362-369.
    [9] 杨培岭,罗远培,石元春.用粒径的重量分布表征的土壤分形特征[J].科学通报,1993,38(20):1896-1899.
    [10] 谢和平.分形几何及其在岩土力学中的应用[J].岩土工程学报,1992,14(1):14-24.
    [11] Tyler S W,Wheatcraft S W.Fractal processes in soil/water relation[J].Water Resour Res,1990,26(5): 1047-1054.
    [12] Pachepsky Ya A,Shcherbakov R A,Korsunskaya L P.Scaling of soil/water retention using a fractal model[J].Soil SCi,1995,159(2):99-104.
    [13] Toledo Pedro G,Novy Robert A,Davis H Ted,et al.Hydraulic conductivity of porous media at low water content[J].Soil Sci Soc Am J,1990,54:673-679.
    [14] Rawls W J,Brakensiek D L,Logsdon S D.Predicting saturated hydraulic conductivity utilizing fractal principles[J].Soil SCi Soc Am J,1993,57:1193-1197.
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A Review of Study on Fractals of Soil Hydraulic Properties

Funds:  The project is supported by National Natural Science Fund of China (No.59879028).

Abstract: In this paper,describing soil structure and characterizing soil hydraulic properties with fractal theory are reviewed since 1980s.Based on the theory,the fractals of porous media are characterized by fractal dimensions of soil pores,particle-size distribution and particle surface or volume of soils,and the fractal models of soil water retention characteristics and hydraulic conductivity are determined accordingly.Also the advances of fractal theory in hydraulic properties are discussed.

ZHAN Wei-hua, HUANG Guan-hua. A Review of Study on Fractals of Soil Hydraulic Properties[J]. Advances in Water Science, 2000, 11(4): 457-462.
Citation: ZHAN Wei-hua, HUANG Guan-hua. A Review of Study on Fractals of Soil Hydraulic Properties[J]. Advances in Water Science, 2000, 11(4): 457-462.
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