International Scientific Journal

Thermal Science - Online First

External Links

online first only

Fractal study in soil spatial variability and thermal conductivity

This paper takes advantage of fractal method to research some soil characteristics through case analysis. The multifractal spectrum and random Sierpinski carpet are used to describe the spatial variability and thermal conductivity of soil quantitatively. On the basis of predecessors, the scatter plots of various types of data have been used to supplement the multifractal results in a more detailed way. It turns out that the content of clay, silt, and coarse sand could reflect the degree of spatial variability of soil. Then based on this case, the effect of porosity on soil thermal conductivity is discussed by using random Sierpinski carpet. The result shows that the effective thermal conductivity of the clay, silt and coarse sand decreases linearly with the increase of porosity, but the degree of reduction is different. Moreover, when the porosity is definite, the effective thermal conductivity of the coarse sand is the largest, that of the clay with the highest thermal conductivity is second, and that of the silt is the smallest.
PAPER REVISED: 2019-03-05
PAPER ACCEPTED: 2019-03-13
  1. Ge S.R, Zhu H., Fractal of tribology,Mechanical industry press, Beijing, 2005
  2. Bartoli F,et al., Structure and self-similarity in silty and sandy soils:the fractal approach,Soil Sci,42(1991), pp.167-185
  3. Tyler S.W, Wheatcraft S.W., Application of fractal mathematics to soil water retention estimation.Soil Sci.Soc Arn.J.,53(1989), pp.987-996
  4. Huang G.H,Zhan W.H., Fractal characteristics and application of soil particles, Acta pedologica sinica, 39(2002), 4, pp.490-496
  5. Xiao D.D, Shi Z.T, et al., Fractal dimension of soil particle volume in rubber forest of Xishuangbanna,Chinese journal of tropical crops, 38(2017), 5, pp.817-823
  6. Dai Y.J, Li J.R., Soil particle multi—fractals and soil organic carbon distributions and correlations under different shrubs in Ulan Buh Desert,Research of Environmental sciences, 30(2017), 7, pp.1069-1078
  7. Bai Y.R, Wang Y.K., Monofractal and multifractal analysis on soil Particle distribution in hilly and gully areas of the Loess flateau.,Journal of agricultural machinery,43(2012), 5 ,pp.43-49
  8. Chen Y.P, Shi M.H., Thermal conductivity of porous medium based on fractal theory,Journal of engineering thermophysics, 20(1999), 5, pp. 608-612
  9. Shen Jingfang, Xu Sha, Liu Wenwei, Yang Jiajun, Fractal Model of Normal Contact Stiffness between Two Spheres of Joint Interfaces with Simulation, MECHANIKA,23(2017), 5, pp. 703-713