THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Fan Zuo

,

Junqing Liu

,

Meng Li

,

Chao Liu

A PERMEABILITY MODEL OF PACKED PARTICLES MATERIAL BASED ON 2-D FRACTAL GRADATION SPECTRUM

ABSTRACT
The permeability property of a packed particles material has been caught much attention, it depends upon its pore characteristics caused by the particle accumulation, but the current empirical formulas and the permeable theory could not re-veal the effect of the particle accumulation thoroughly. In this paper, a theoretical formula is derived, and the fractal gradation spectrum is adopted to confirm the particle size distribution, furthermore, the pore feature is determined by the particle size and accumulation features, finally a permeability model of the packed particles material is established. In this model, the effect of particle size distribution on pore features is estimated more thoroughly than those in conventional models, and the calculated results are more accurate and verified experimentally.
KEYWORDS
packed particles material, particle size distribution (PSD), permeability coefficient
PAPER SUBMITTED: 2019-11-12
PAPER REVISED: 2020-06-20
PAPER ACCEPTED: 2020-06-20
PUBLISHED ONLINE: 2021-04-18
DOI REFERENCE: https://doi.org/10.2298/TSCI191112153Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 3, PAGES [2083 - 2091]
REFERENCES
  1. Terzaghi, K., et al., Soil Mechanics in Engineering Practice, John Wiley & Sons, New York, USA, 1996
  2. Jie, L., Soil Seepage Stability and Seepage Control (in Chinese), Water Resources and Electric Power Press, Beijing, China, 1992
  3. Jie, L., Seepage Control of Earth-Rock Dams Theoretical Basis, Engineering Experiences and Lessons (in Chinese), China Waterpower Press, Beijing, China, 2005
  4. Changxi, M., Seepage Computation Analysis & Control (in Chinese), Water Resources and Electric Power Press, Beijing, China, 1990
  5. Carman, P. C., Fluid Flow through Granular Beds, Trans. Inst. Chem. Eng., 15 (1937), pp. 150-166
  6. Liu, J., Experimental Study of Optimum Gradation of Crushed Stone Cushion for Concrete-Face Rockfill Dam, Hydro-Science Engineering, 4 (2001), pp. 1-7
  7. Pape, H., et al., Permeability Prediction for Low Porosity Rocks by Mobile NMR, Pure Applied Geophysics, 166 (2009), 5, pp. 1125-1163
  8. Lijun, S., et al., Investigation on Permeability of Sands with Different Particle Sizes (in Chinese), Rock and Soil Mechanics, 35 (2014), 5, pp. 1289-1294
  9. Xiao, B., et al., A Fractal Model for Kozeny-Carman Constant and Dimensionless Permeability of Fibrous Porous Media with Roughened Surfaces, Fractals, 27 (2019), 7, ID 1950116
  10. Shao, S., et al., Pore Characteristics of Coarse Grained Soil and their Effect on Slurry Permeability (in Chinese), Chinese Journal of Geotechnical Engineering, 31 (2009), 1, pp. 59-65
  11. Arya, L. M., Paris, J. F., A Physicoempirical Model to Predict the Soil Moisture Characteristic from Particle‐Size Distribution and Bulk Density Data, Soil Science Society of America Journal, 45 (1981), 6, pp. 1023-1030
  12. Shepherd, R. G., Correlations of Permeability and Grain Size, Groundwater, 27 (1989), 5, pp. 633-638
  13. Goktepe, A. B., Sezer, A., Effect of Particle Shape on Density and Permeability of Sands, Proceedings of the Institution of Civil Engineers-Geotechnical Engineering, 163 (2010), 6, pp. 307-320
  14. Xiao, B., et al., A Novel Fractal Solution for Permeability and Kozeny-Carman Constant of Fibrous Porous Media Made up of Solid Particles and Porous Fibers, Powder Technology, 349 (2019), May, pp. 92-98
  15. Valdes-Parada, F. J., et al., Validity of the Permeability Carman-Kozeny Equation: a Volume Averaging Approach, Physica A: Statistical Mechanics & its Applications, 388 (2009), 6, pp. 789-798
  16. Yu, B., Cheng, P., A Fractal Permeability Model for Bi-Dispersed Porous Media, International Journal of Heat Mass Transfer, 45 (2002), 14, pp. 2983-2993
  17. Xu, P., Yu, B., Developing a New Form of Permeability and Kozeny-Carman Constant for Homogeneous Porous Media by Means of Fractal Geometry, Advances in Water Resources, 31 (2008), 1, pp. 74-81
  18. Liu, X., et al., Relationship between Physical Properties and Particle-Size Distribution of Geomaterials, Construction Building Materials, 222 (2019), Oct., pp. 312-318
  19. Qiu, X.-D., et al., Effect of Particle-Size Characteristics on Seepage Property of Rockfill (in Chinese), Rock Soil Mechanics-Wuhan, 25 (2004), June, pp. 950-954 Paper
PDF VERSION [DOWNLOAD]
A permeability model of packed particles material based on 2-D fractal gradation spectrum

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence