한국농공학회논문집 (Journal of The Korean Society of Agricultural Engineers)

  • 제48권4호
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  • Pages.41-49
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  • 2006
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  • 1738-3692(pISSN)
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  • 2093-7709(eISSN)
한국농공학회 (The Korean Society of Agricultural Engineers)
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조립토 입도분포곡선의 프랙탈차원을 이용한 투수계수의 예측

Estimation of Permeability Coefficient Using Fractal Dimension of Particle Size Distribution Curve in Granular Soils

  • 발행 : 2006.07.01
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초록

Since particle size distribution curves are useful to estimate permeability of soil, many formulae for permeability coefficient (k) have been published using the parameter from the curves and factors, such as grain size, particle shape and void ratio of soils. However, the parameters such as $C_c,\;C_u$ and $D_n$ derived from only some discrete points on the curve are insufficient to represent the whole gradation. In this paper fractal dimension which is quite new concept and known to be able to represent the entire curve of particle size distribution is employed for the parameters. An empirical formula of permeability coefficient has been developed with fractal dimension and percent of finer than 0.075 mm. The formula developed from this study has confirmed its effectiveness by a series of laboratory tests and comparison to other published formulae. It is found that permeability coefficient is proportional to fractal dimension and inversely proportional to percent of fines.

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참고문헌

  1. Adolfo, N. D. Posadas, Daniel Gimenez, Marco Bittelli, Carlos M. P. Vaz, and Markus Flury. (2001), 'Multifractal characterization of soil particle-size distributions', Soil Sci. Soc. AM. J., Vol. 65, pp. 1361-1367 https://doi.org/10.2136/sssaj2001.6551361x
  2. Alyamani, M. S. and Sen, Z. 1993, Determination of Hydraulic Conductivity from Complete Grain-Size Distribution Curves, Ground Water, 31 (4), pp. 551-555 https://doi.org/10.1111/j.1745-6584.1993.tb00587.x
  3. Amer, A. M. and Awad, A. A. 1974, Permeability of Cohesionless Soils, J. Geotech. Eng. Div. Am. Soc. Civ. Eng., 100(12), pp. 1309-1316
  4. Berg, R. R. 1970, Method for determining permeability from reservoir rock properties, Trans. Gulf Coast Assn. Geol. Soc. Vol. 20, pp. 303-317
  5. Bittelli, M., Camlbell, G. S. and Flury, M. 1999, Characterization of particle-size distribution in soils with a fragmentation model, Soil Sci. Soc. AM. J., Vol. 63, pp. 782-788 https://doi.org/10.2136/sssaj1999.634782x
  6. Carman, P. G. 1956, Flow of gases through porous media, Butterworths Scientific Publications, London
  7. Hazen, A. 1892, Some physical properties of sands and gravels, with special reference to their use in filtration, 24th Annual Rep., Massa-chusetts State Board of Health, Pub. Doc. No. 34, 539 - 556
  8. Hazen, A. 1911, Discussion of 'Dams on Sand Foundations' by A. C. Koenig, Trans. Am. Soc. Civ. Eng., Vol. 73, pp. 199
  9. Hyslip, James P. and Vallejo, L.E. 1997, Fractal analysis of the roughness and size distribution of granular materials, Elsevier, Eng. Geology, Vol. 48, pp. 231-244 https://doi.org/10.1016/S0013-7952(97)00046-X
  10. Krumbien, W. C. and Monk, G. D. 1942, Permeability as a Function of the Size Parameters of Unconsolidated Sand, Am. Inst. Mining Eng., Littleton, Co, Tech. Pub
  11. Mandelbrot, B. B. 1982, The Fractal Geometry of Nature. Freeman and Co., San Francisco
  12. Matsushita, M. 1985, Fractal Viewpoint of Fracture and Accretion, J. Phys. Soc. Jpn, Vol. 54, pp. 857-860 https://doi.org/10.1143/JPSJ.54.857
  13. Min, T. K. and Lee, W. J., 2003, 'Fragmentation Fractal Analysis on Particle-size Distribution', Journal of Korean Geotechnical Society, Vol. 19, No.2, pp. 199-206
  14. Moore, C. A. and Donaldson, C. F. 1995, Quantifying soil micro-structure using fractals, Geotechnique, 45(1), pp. 105-116 https://doi.org/10.1680/geot.1995.45.1.105
  15. Song, Y. W. and Lee, I, K, 2002, 'Prediction of hydraulic Conductivity from Grainsize Distribution Parameters', Journal of Korean Geotechnical Society, Vol. 18, No.3, pp. 5-12
  16. Turcotte, D. L. 1986, Fractals and Fragmentation, J. Geophys. Res. Vol. 91, pp. 1921-1926 https://doi.org/10.1029/JB091iB02p01921
  17. Tyler, S. W. and S.W. Wheatcraft. 1992, Fractal Scaling of Soil Particle Size Distributions: Analysis and Limitations, Soil Sci. Soc. Am. J. Vol. 56, pp. 362-369 https://doi.org/10.2136/sssaj1992.03615995005600020005x
  18. Vallejo, L. E. 1995, Fractal analysis of granular materials, Geotechnique, 45 (1), pp. 159-163 https://doi.org/10.1680/geot.1995.45.1.159
  19. Yu, C. Ahn, S. Y., Lee, C. N. and Baveye, P. C., 2002, 'The Soil Particles Distributions and Fractal Dimension'. Journal of Korean Geotechnical Society. Vol. 18. No.6. pp. 25-32

피인용 문헌

  1. A Review of the Applicability of The Fractal Dimension of Grain Size Distribution for a Analysis of Submarine Sedimentary Environments vol.53, pp.6, 2011, https://doi.org/10.5389/KSAE.2011.53.6.043
  2. The Estimation of the Extent of Weathering using Fractal Dimension through a Comparison with Chemical Characteristic vol.54, pp.2, 2012, https://doi.org/10.5389/KSAE.2012.54.2.127