Deformations of loess soils caused by changes in the microaggregate structure

  • Tatyana P. MokritskayaEmail author
  • Anatolii V. Tushev
  • Kseniia A. Samoylich
  • Petr N. Baranov
Original Paper


Protracted degradation of the loess structure during technogenesis leads to changes in the microaggregate composition, density, and moisture. We have developed a model that predicts the value of the porosity coefficient of loess in a degraded state. The model is based on the previously obtained results of applying fractal theory to soils. The loess areas of Dnipro city (Ukraine) and its environs were studied. The granulometric composition of the samples was determined before and after filtration, compression. According to the results of the pipet analysis of one sample, the number of aggregates, the number of particles composing the aggregates, and the number of free particles (nonaggregates) were calculated for each of the fractions. The values of the fractal dimension of the particle size distribution function were also calculated. The predicted values of the porosity coefficient in the state of complete decomposition of microaggregates were calculated according to the new model. The difference of the porosity coefficients in the initial (natural) and predicted states characterizes the value of the volume deformation of the soil. The obtained results of calculations of volumetric deformation of loess do not contradict the known data on the deformation features of the deposits of the region formed in the epochs of interglacial and terrestrial glaciation.


Loess Fractal Porosity Deformation 


  1. Anderson AN, Crawford JW, McCartney AB (2000) On diffusion in fractal soil structures. Soil Sci Soc Am J 64:19–24CrossRefGoogle Scholar
  2. Bird NRA, Perrier E, Rieu M (2000) The water retention function for a model of soil structure with pore and solid fractal distributions. Eur J Soil Sci 51:55–63CrossRefGoogle Scholar
  3. Dean ETR (2015) Particle mechanics approach to continuum constitutive modelling. Geotech Res 2(1):3–34. CrossRefGoogle Scholar
  4. Delage P, Cui YJ, Antoine P (2005) Geotechnical problems related with loess deposits in Northern France. Proceedings of international conference on problematic soils, 25–27 May 2005, Eastern Mediterranean University, Famagusta, N. Cyprus, pp 517–540Google Scholar
  5. Du Y, Han JC, Zhang SW, Huang YF, Wang HY, Luo LT, Zhang WH (2017) Multidimensional analysis of particle size fractal characteristics in a farmland soil profile. IOP Conf Ser Earth Environ 52(2017):012053. CrossRefGoogle Scholar
  6. Joseph PG (2014) Viscosity and secondary consolidation in one-dimensional loading. Geot Res 1(3):90–98. Google Scholar
  7. Larionov AK, Priklonsky VA, Ananiev VP (1959) Loessial rocks of the USSR and their building properties. Nedra, LeningradGoogle Scholar
  8. Li P, Vanapalli S, Li T (2016) Review of collapse triggering mechanism of collapsible soils due to wetting. J Rock Mech Geotech Eng 8:256–274. CrossRefGoogle Scholar
  9. Millán H (2007) Scale cutoffs and the limits of fractal soil structure. Int Agrophys 21:169–172Google Scholar
  10. Mokritskaya TP, Shestopalov VM (2011) Features of condact ground loess formation by technogenetic impact on the example Dnipropetrovsk. EngeoPro-2011, Moskow, 6–8 September, IEKiseleva N.V., pp 561–564Google Scholar
  11. Mokritskaya TP, Tushev AV, Nikulchev EV, Samoylich KA (2016) On the fractal characteristics of loess subsidence. Contemp Eng Sci 9(2):799–807CrossRefGoogle Scholar
  12. Muñoz-Castelblanco JA, Pereira JM, Delage P, Cui YJ (2012) The water retention properties of natural unsaturated loess from northern France. Géotechnique 62(2):95–106CrossRefGoogle Scholar
  13. Osipov V, Sokolov H, Rumyantseva NA (1989) Mikrostruktura glinistykh porod. Nedra, MoscowGoogle Scholar
  14. Russell AR (2011) A compression line for soils with evolving particle and pore size distributions due to particle crushing. Geotech Lett 1:5–9CrossRefGoogle Scholar
  15. Russell AR (2014) How water retention in fractal soils depends on particle and pore sizes, shapes, volumes and surface areas. Géotechnique 64(5):379–390CrossRefGoogle Scholar
  16. Russell AR, Buzzi O (2012) A fractal basis for soil–water characteristics curves with hydraulic hysteresis. Géotechnique 62(3):269–274CrossRefGoogle Scholar
  17. Ryaschenko TG (2010) Regional soil science (eastern Siberia). SD RAS, IrkutskGoogle Scholar
  18. Ryashchenko TG, Akulova VV, Erbaeva MA (2008) Loessial soils of Priangaria, Transbaikalia, Mongolia and northwestern China. Quat Int 179:90–95CrossRefGoogle Scholar
  19. Samoilych K, Mokritskaia T (2016) Change in the parameters the microstructure of loess soil during filtration. J Geol Geograp Geoecol 24(2):106–113. Google Scholar
  20. Schoenball M, Selzer M, Kühnle N, Nestler B, Schmittbuhl J, Kohl T (2013) Flow anisotropy in sheared fractures with self-affine surfaces. European Geothermal Congress 2013, Pisa, ItalyGoogle Scholar
  21. Song Z, Zhang C, Liu G, Qu D, Xue S (2015) Fractal feature of particle-size distribution in the rhizospheres and bulk soils during natural recovery on the loess plateau, China. PLoS One 10(9):e0138057. CrossRefGoogle Scholar
  22. Sufian A, Russell AR, Whittle AJ, Saadatfar M (2015) Pore shapes, volume distribution and orientations in monodisperse granular assemblies. Granul Matter 17(6):727–742CrossRefGoogle Scholar
  23. Wang Y, Dan W, Xu Y, Xi Y (2015) Fractal and morphological characteristics of single marble particle cruching in uniaxial compression tests. Adv Mat Sci Eng (1):1–10Google Scholar
  24. Wang C, Zhang Z, Liu Y, Fan S (2017) Geometric and fractal analysis of dynamic cracking patterns subjected to wetting-drying cycles. Soil Tillage Res 170:1–13CrossRefGoogle Scholar
  25. Wei F, Yao Z-H, Chen Z-H, Su L-H, Bao L-L, Li J-G (2015) Influence of structural properties on strength and yielding characteristics of unsaturated Q3 loess. Rock Soil Mech 36(9):2560–2568. Google Scholar
  26. Xu Y, Feng X, Zhu H, Chu F (2015) Fractal model for rockfill shear strength based on particle fragmentation. Granul Matter 17(6):753–761. CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Dnipro National UniversityDniproUkraine

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