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Application of fractal theory to characterize desiccation cracks in contaminated clayey soils

  • Binbin Yang
  • Junhong YuanEmail author
Original Paper
  • 36 Downloads

Abstract

The formation and development of desiccation cracks in contaminated clayey soils is a complex process that affects the strength, stability, and permeability of these soils. To investigate the relationship between different concentrations of pollutants and the characteristics of the desiccation cracks in contaminated clayey soils, soil samples are prepared with different concentrations of acetic acid as the pollutant in this study. Free desiccation tests are carried out to examine the cracks in the contaminated clayey soil samples in the laboratory setting. The rate of water loss and the development of surface desiccation cracks in the soil samples with different concentrations of acetic acid are monitored. The characteristics of the structure of the surface cracks are then described and quantitatively analyzed by using a geographic information system, which involves calculating the fractal dimension with ArcGIS. The results indicate that the characteristics of the development of the surface cracks are different due to the influence of different concentrations of acetic acid. The most rapid development of cracks takes place in the soil sample with 0.4 mol/L of acetic acid, as the influence of the concentration of acetic acid on the rate of water loss is minimal. Three stages are found in the development of cracks in the soil samples: the early, intermediate, and final stages of cracking. The fractal dimension increases rapidly with increased concentration of acetic acid in the early and intermediate stages of cracking. The results therefore have significance for dealing with acid-contaminated foundation and soils.

Keywords

Fractal dimension Geographic information system Contaminated clayey soils Acetic acid Desiccation cracks 

Notes

Funding information

The authors would like to acknowledge financial support from the Natural Science Foundation of Inner Mongolia under Grant No. 2015MS0523.

References

  1. Baer JU, Kent TF, Anderson SH (2009) Image analysis and fractal geometry to characterize soil desiccation cracks. Geoderma 154(1):153–163CrossRefGoogle Scholar
  2. Barak P (1989) Double layer theory prediction of Al-Ca exchange on clay and soil. J Colloid Interface Sci 133(2):479–490CrossRefGoogle Scholar
  3. Chertkov VY, Ravina I (1999) Morphology of horizontal cracks in swelling soils. Theor Appl Fract Mech 31(1):19–29CrossRefGoogle Scholar
  4. El-Halim AA (2017) Image processing technique to assess the use of sugarcane pith to mitigate clayey soil cracks: laboratory experiment. Soil Tillage Res 169:138–145CrossRefGoogle Scholar
  5. Gui Y, Zhao GF (2015) Modelling of laboratory soil desiccation cracking using DLSM with a two-phase bond model. Comput Geotech 69:578–587CrossRefGoogle Scholar
  6. Gui YL, Zhao ZY, Kodikara J, Bui HH, Yang SQ (2016) Numerical modelling of laboratory soil desiccation cracking using UDEC with a mix-mode cohesive fracture model. Eng Geol 202:14–23CrossRefGoogle Scholar
  7. Hallett PD, Dexter AR, Seville JPK (1995) Identification of pre-existing cracks on soil fracture surfaces using dye. Soil Tillage Res 33(3–4):163–184CrossRefGoogle Scholar
  8. Harianto T, Hayashi S, Du YJ, Suetsugu D (2008) Effects of fiber additives on the desiccation crack behavior of the compacted Akaboku soil as a material for landfill cover barrier. Water Air Soil Pollut 194(1–4):141–149CrossRefGoogle Scholar
  9. He W, Zhao MH, Liu XP (2008) Effect of electric double layer on permeability of unsaturated clay. J Highw Transp Res Dev 25(9):47–51 (In Chinese)Google Scholar
  10. Hedan S, Fauchille AL, Valle V, Cabrera J, Cosenza P (2014) One-year monitoring of desiccation cracks in Tournemire argillite using digital image correlation. Int J Rock Mech Min Sci 68:22–35CrossRefGoogle Scholar
  11. Kalkan E (2009) Influence of silica fume on the desiccation cracks of compacted clayey soils. Appl Clay Sci 43(3):296–302CrossRefGoogle Scholar
  12. Kooper WF, Mangnus GA (1986) Contaminated soil. Martinus Nijhoff Publishers, Boston, pp 25–27Google Scholar
  13. Krisnanto S, Rahardjo H, Fredlund DG, Leong EC (2014) Mapping of cracked soils and lateral water flow characteristics through a network of cracks. Eng Geol 172:12–25CrossRefGoogle Scholar
  14. Lee CK, Ho DS, Yu CC, Wang CC (2003) Fractal analysis of temporal variation of air pollutant concentration by box counting. Environ Model Softw 18(3):243–251CrossRefGoogle Scholar
  15. Liebovitch LS, Toth T (1989) A fast algorithm to determine fractal dimensions by box counting. Phys Lett A 141(8–9):386–390CrossRefGoogle Scholar
  16. Mahanta KK, Mishra GC, Kansal ML (2014) Estimation of the electric double layer thickness in the presence of two types of ions in soil water. Appl Clay Sci 87:212–218CrossRefGoogle Scholar
  17. Makropoulos CK, Butler D (2006) Spatial ordered weighted averaging: incorporating spatially variable attitude towards risk in spatial multi-criteria decision-making. Environ Model Softw 21(1):69–84CrossRefGoogle Scholar
  18. Mandelbrot BB (1983) The fractal geometry of nature. W.h.freeman & Co.p, New YorkCrossRefGoogle Scholar
  19. Mandelbrot BB (1986) Self-affine fractal sets fractals. In: Pietronero L, Tosatti E (eds) Physics, pp 3–29Google Scholar
  20. Mandelbrot BB, Aizenman M (1979) Fractals: form, chance, and dimension. Phys Today 32(5):65–66CrossRefGoogle Scholar
  21. Nahlawi H, Kodikara JK (2006) Laboratory experiments on desiccation cracking of thin soil layers. Geotech Geol Eng 24(6):1641–1664CrossRefGoogle Scholar
  22. Qafoku NP, Van Ranst E, Noble A, Baert G (2004) Variable charge soils: their mineralogy, chemistry and management. Adv Agron 84:159–215CrossRefGoogle Scholar
  23. Ren J, Li X, Zhao K, Fu B, Jiang T (2016) Study of an on-line measurement method for the salt parameters of soda-saline soils based on the texture features of cracks. Geoderma 263:60–69CrossRefGoogle Scholar
  24. Ringrose-Voase AJ, Sanidad WB (1996) A method for measuring the development of surface cracks in soils: application to crack development after lowland rice. Geoderma 71(3–4):245–261CrossRefGoogle Scholar
  25. San Cristóbal JR (2011) Multi-criteria decision-making in the selection of a renewable energy project in Spain: the Vikor method. Renew Energy 36(2):498–502CrossRefGoogle Scholar
  26. Sánchez M, Manzoli OL, Guimarães LJ (2014) Modeling 3-D desiccation soil crack networks using a mesh fragmentation technique. Comput Geotech 62:27–39CrossRefGoogle Scholar
  27. Shit PK, Bhunia GS, Maiti R (2015) Soil crack morphology analysis using image processing techniques. Model Earth Syst Environ  1(4):35CrossRefGoogle Scholar
  28. Sridharan A, Nagaraj TS, Sivapullaiah PV (1981) Heaving of soil due to acid contamination. In Proc. of International Conference on Soil Mechanics Foundation Engineering 2:383–386Google Scholar
  29. Stirling RA, Glendinning S, Davie CT (2017) Modelling the deterioration of the near surface caused by drying induced cracking. Appl Clay Sci 146:176–185CrossRefGoogle Scholar
  30. Tang CS, Cui YJ, Tang AM, Shi B (2010) Experiment evidence on the temperature dependence of desiccation cracking behavior of clayey soils. Eng Geol 114(3–4):261–266CrossRefGoogle Scholar
  31. Tang CS, Cui YJ, Shi B, Tang AM, Liu C (2011a) Desiccation and cracking behavior of clay layer from slurry state under wetting-drying cycles. Geoderma 166(1):111–118CrossRefGoogle Scholar
  32. Tang CS, Shi B, Liu C, Suo WB, Gao L (2011b) Experimental characterization of shrinkage and desiccation cracking in thin clay layer. Appl Clay Sci 52(1–2):69–77CrossRefGoogle Scholar
  33. Velde B (1999) Structure of surface cracks in soil and muds. Geoderma 93(1):101–124CrossRefGoogle Scholar
  34. Vo TD, Pouya A, Hemmati S, Tang AM (2017) Numerical modelling of desiccation cracking of clayey soil using a cohesive fracture method. Comput Geotech 85:15–27CrossRefGoogle Scholar
  35. Yuan B, Chen R, Teng J, Peng T, Feng Z (2015) Investigation on 3D ground deformation and response of active and passive piles in loose sand. Environ Earth Sci 73(11):7641–7649CrossRefGoogle Scholar
  36. Zhu CP, Liu HL, Shen Y (2011) Laboratory tests on shear strength properties of soil polluted by acid and alkali. Chin J Geotec Eng 33(7):1146–1152 (In Chinese)Google Scholar

Copyright information

© Saudi Society for Geosciences 2019

Authors and Affiliations

  1. 1.School of Resources and GeosciencesChina University of Mining and TechnologyXuzhouChina
  2. 2.Transportation InstituteInner Mongolia UniversityHohhotChina

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