Soil Pore Space Fractal Dimensions Were Deduced Conversely by the Curve of Soil Water Retention

Article Preview

Abstract:

The functional equations have been established between the soil water retention curve and the soil structures fractal dimension by fractal geometry theory. Based on the functional equations have the same or similar law form with Campbell law, Soil pore space fractal dimensions were deduced conversely by the curve of soil water retention, which not only reveal physics matter of Campbell law, but also can carry out fractal research of prediction of soil water retention. The comparison of predicted soil water retention with measured data shows that the proposed model can be used to describe various soil textures.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 518-523)

Pages:

4753-4760

Citation:

Online since:

May 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Brooks R H,Coery A T. Hydraulic Properties of Porous Media [C].Hydrology Paper 3. Colorado State University.Fort Collins.1964.

Google Scholar

[2] Campbell G S.A simple method for determining unsaturated conductivity from moisture retention data [J].Soil Sci, 1974, 117(6):311-314.

DOI: 10.1097/00010694-197406000-00001

Google Scholar

[3] Burdine N T .Relative permeability from size distribution data [J].Trans Am Inst Min Metall Pet Eng, 1953, 198:71-78.

Google Scholar

[4] Mualem Y.A new model for predicting the hydraulic conductivity of unsaturated porous media [J].Water Resour Res, 1976, 12(3):513-522.

DOI: 10.1029/wr012i003p00513

Google Scholar

[5] Liu Jianguo,Nie Yongfeng. Fractal Models for Predicting Unsaturated Soil Hydraulic Parameters [J].Advances in Water Science, 2001, 12(1):99-105. (In Chinese)

Google Scholar

[6] Yang Peiling, Luo Yuanpei, Shi Yuanchun. Fractal feature of soils characterized by weight distribution [J].Chinese Science Bulletin, 1993, 38(20):18 96-1899. (In Chinese)

Google Scholar

[7] Rieu M, Sposito G. Fractal Fragmentation, Soil Porosity, and Soil Water Properties [J]. Soil Sci Soc Am J, 1991(55):1 231 - 1 238.

DOI: 10.2136/sssaj1991.03615995005500050006x

Google Scholar

[8] Tyler S W, Wheatcraft S W. Application of fractal mathematics to soil water retention estimation[J].Soil Sci Soc AmJ,1989(53):987 - 996.

DOI: 10.2136/sssaj1989.03615995005300040001x

Google Scholar

[9] Perfect E , Kay B D. Applications of fractals in soil and tillage research :a review[J]. Soil&Tillage Research, 1995, 36:1 - 20.

DOI: 10.1016/0167-1987(96)81397-3

Google Scholar

[10] Friesen W G. Mikula R J. Fractal dimension of coal particles. Colloid. Interface [J] Sci 1987, 120:263-271

DOI: 10.1016/0021-9797(87)90348-1

Google Scholar

[11] Tyler S W ,Wheatcraft S W. Fractal process in soil water retention[J]. Water Resour Res, 1990, 26: 1 047-1 054.

Google Scholar

[12] Clapp R B, Hornberger G M. Empirical equations for some hydraulic properties [J]. Water Resour Res,1978, 14: 601- 604.

DOI: 10.1029/wr014i004p00601

Google Scholar

[13] Rieu M,Sposito G. Fractal fragmentation. soil porosity and soil water properties I. Theoty[J]. Soil Scie Soc Am J , 1991, 55: 1 231- 1 238.

DOI: 10.2136/sssaj1991.03615995005500050006x

Google Scholar

[14] Rieu M,Sposito G. Fractal fagmentation, soil porosity and soil water properties I. Applications[J]. Soil Sci Soc Am J , 1991, 55: 1 239- 1 244.

DOI: 10.2136/sssaj1991.03615995005500050007x

Google Scholar