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Grain-scale characterization of water retention behaviour of sand using X-ray CT

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Abstract

This paper introduces X-ray tomography as an experimental method that allows grain-scale measurements for both porosity and degree of saturation. A whole configuration and set-up were developed specifically for the study of unsaturated Hostun sand and its water retention behaviour, using X-ray CT. A “step-by-step” protocol to obtain reconstructed volumes of sufficient quality where the three phases of the specimen can be clearly distinguished (i.e., grain, water and air) was also presented. A post-processing of the images helped the visualization and the characterization of the three phases within the specimen. A region growing separation tool was used to obtain trinarized volumes, allowing a qualitative/quantitative analysis to be performed. A qualitative interpretation of the resulting images has been done focusing on the water retention domains, where images of each different domain were retrieved for different suction values. Later, local measurements of relevant soil variables were conducted for a chosen subvolume of ≈ 3 × D50. This helped to build a map of measurement that covers the entire specimen field. Finally, water retention curve of Hostun sand was plotted and compared to a reference one. An investigation about the relation between the state variables: porosity and degree of saturation, for a constant suction, was performed. A noteworthy trend between porosity and degree of saturation was identified and discussed. The analysis presented in this study could be adapted for other granular materials, combined with pore size distribution and pore shape description, in order to understand the local relation between water retention behaviour characteristics and build a model that covers the whole retention behaviour of unsaturated granular materials.

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References

  1. Al-Raoush R, Papadopoulos A (2010) Representative elementary volume analysis of porous media using X-ray computed tomography. Powder Technol 200(1):69–77

    Article  Google Scholar 

  2. Andò E, Hall SA, Viggiani G, Desrues J, Bésuelle P (2012) Grain-scale experimental investigation of localised deformation in sand: a discrete particle tracking approach. Acta Geotech 7(1):1–13

    Article  Google Scholar 

  3. Andò E (2013) Experimental study of the evolution of the microstructure of a granular medium under mechanical loading using tomography X-ray. PhD thesis, Laboratoire 3SR, Grenoble, France

  4. Andrade JE, Borja RI (2006) Capturing strain localization in dense sands with random density. Int J Numer Methods Eng 67(11):1531–1564

    Article  MATH  Google Scholar 

  5. Arya LM, Paris JF (1981) A physicoempirical model to predict the soil moisture characteristic from particle-size distribution and bulk density data. Soil Sci Soc Am J 45(6):1023–1030

    Article  Google Scholar 

  6. Borja RI, Andrade JE (2006) Critical state plasticity. Part VI: meso-scale finite element simulation of strain localization in discrete granular materials. Comput Methods Appl Mech Eng 195(37–40):5115–5140

    Article  MATH  Google Scholar 

  7. Borja RI, Song X, Rechenmacher AL, Abedi S, Wu W (2013) Shear band in sand with spatially varying density. J Mech Phys Solids 61(1):219–234

    Article  Google Scholar 

  8. Borja RI, Song X, Wu W (2013) Critical state plasticity. Part VII: triggering a shear band in variably saturated porous media. Comput Methods Appl Mech Eng 261–262:66–82

    Article  MATH  Google Scholar 

  9. Bruchon JF, Pereira JM, Vandamme M, Lenoir N, Delage P, Bornert M (2013) Full 3D investigation and characterisation of capillary collapse of a loose unsaturated sand using X-ray CT. Granul Matter 15(6):783–800

    Article  Google Scholar 

  10. Canou J (1989) Contribution à L’étude et à I’élaboraion des propriétés de liquéfaction d’un sable. PhD thesis, CERMES-ENPC, Paris, France

  11. Carminati A, Kaestner A, Lehmann P, Flühler H (2008) Unsaturated water flow across soil aggregate contacts. Adv Water Resour 31(9):1221–1232

    Article  Google Scholar 

  12. Colliat JL, Desrues J, Foray P (1988) Triaxial test under elevated cell pressure, ASTM STP N° 977, advanced triaxial testing for soils and rocks, pp 290–310

  13. Costanza‐Robinson MS, Estabrook BD, Fouhey DF (2011) Representative elementary volume estimation for porosity, moisture saturation, and air‐water interfacial areas in unsaturated porous media: data quality implications. Water Resour Res 47(7)

  14. Culligan KA, Wildenschild D, Christensen BSB, Gray WG, Rivers ML (2006) Pore-scale characteristics of multiphase flow in porous media: a comparison of air–water and oil–water experiments. Adv Water Resour 29(2):227–238

    Article  Google Scholar 

  15. Degny É (1984) Etude du comportement d’un sable dense à l’aide d’une presse tridimensionnelle. PhD thesis, Laboratoire 3SR, Grenoble, France

  16. Duriez J, Wan R (2015) Effective stress in unsaturated granular materials: micro-mechanical insights. Coupled Probl Sci Eng VI:1232–1242

    Google Scholar 

  17. Feldkamp LA, Davis LC, Kress JW (1984) Practical cone-beam algorithm. JOSA A 1(6):612–619

    Article  Google Scholar 

  18. Fredlund DG, Xing A (1994) Equations for the soil-water characteristic curve. Can Geotech J 31(4):521–532

    Article  Google Scholar 

  19. Hashemi MA, Khaddour G, François B, Massart TJ, Salager S (2014) A tomographic imagery segmentation methodology for three-phase geomaterials based on simultaneous region growing. Acta Geotech 9(5):831–846

    Article  Google Scholar 

  20. Higo Y, Oka F, Kimoto S, Sanagawa T, Matsushima Y (2011) Study of strain localization and microstructural changes in partially saturated sand during triaxial tests using microfocus X-ray CT. Soils Found 51(1):95–111

    Article  Google Scholar 

  21. Higo Y, Oka F, Sato T, Matsushima Y, Kimoto S (2013) Investigation of localized deformation in partially saturated sand under triaxial compression using microfocus X-ray CT with digital image correlation. Soils Found 53(2):181–198

    Article  Google Scholar 

  22. Higo Y, Morishita R, Kido R, Khaddour G, Salager S (2015) Local water-retention behaviour of sand during drying and wetting process observed by micro X-ray tomography with trinarisation. Jpn Geotech Soc Spec Publ 2(16):635–638

    Google Scholar 

  23. Hopmans JW, Nielsen DR, Bristow KL (2002) How useful are small-scale soil hydraulic property measurements for large-scale vadose zone modeling? Geophys Monogr 129:247–258

    Google Scholar 

  24. Jarvis NJ, Jansson PE, Dik PE, Messing I (1991) Modelling water and solute transport in macroporous soil. I. Model description and sensitivity analysis. J Soil Sci 42(1):59–70

    Article  Google Scholar 

  25. Khaddour G, Andò E, Salager S, Bésuelle P, Viggiani C, Hall S, Desrues J (2013) Application of X-ray tomography to the characterisation of grain-scale mechanisms in sand. In: Multiphysical testing of soils and shales, pp 195–200. Springer, Berlin

  26. Khaddour G (2015) Multi-scale charaterisation of the hydro-mechecanical behaviour of unsaturated sand: water retention and triaxial responses. PhD thesis, Laboratoire 3SR, Grenoble, France

  27. Khalili N, Russell A, Khoshghalb A (eds) (2014) Unsaturated soils: research & applications. CRC Press, Boca Raton

    Google Scholar 

  28. Kaestner A et al (2007) Mapping the 3D water dynamics in heterogeneous sands using thermal neutrons. Chem Eng J 130(2):79–85

    Article  Google Scholar 

  29. Kim FH, Penumadu D, Hussey DS (2011) Water distribution variation in partially saturated granular materials using neutron imaging. J Geotech Geoenviron Eng 138:147–154

    Article  Google Scholar 

  30. Kim FH, Penumadu D, Gregor J, Kardjilov N, Manke I (2012) High-resolution neutron and X-ray imaging of granular materials. J Geotech Geoenviron Eng 139(5):715–723

    Article  Google Scholar 

  31. Li XS (2005) Modelling of hysteresis response for arbitrary wetting/drying paths. Comput Geotech 32(2):133–137

    Article  Google Scholar 

  32. Lins I (2009) Hydro-mechanical properties of partially saturated sand. PhD thesis, Engineer. Faculty of Civil Engineering, Bochum, Germany

  33. Lozano AL, Cherblanc F, Cousin B, Bénet JC (2008) Experimental study and modelling of the water phase change kinetics in soils. Eur J Soil Sci 59(5):939–949

    Article  Google Scholar 

  34. Nikooee E, Habibagahi G, Hassanizadeh SM, Ghahramani A (2013) Effective stress in unsaturated soils: a thermodynamic approach based on the interfacial energy and hydromechanical coupling. Transp Porous Media 96(2):369–396

    Article  Google Scholar 

  35. Nuth M, Laloui L (2008) Advances in modelling hysteretic water retention curve in deformable soils. Comput Geotech 35(6):835–844

    Article  MATH  Google Scholar 

  36. Riedel I, Andò E, Salager S, Bésuelle P, Viggiani G (2012) Water retention behavior explored by X-ray CT analysis. Springer series in unsaturated soils: research and applications 2012, part 1, pp 81–88. https://doi.org/10.1007/978-3-642-31116-1_11

  37. Romero E, Simms PH (2008) Microstructure investigation in unsaturated soils: a review with special attention to contribution of mercury intrusion porosimetry and environmental scanning electron microscopy. Geotech Geol Eng 26(6):705–727

    Article  Google Scholar 

  38. Salager S, El Youssoufi MS, Saix C (2010) Definition and experimental determination of a soil-water retention surface. Can Geotech J 47(6):609–622

    Article  Google Scholar 

  39. Salager S, Khaddour G, Charrier P, Desrues J (2014) An investigation into unsaturated states of granular media using X-ray computed tomography. Unsaturated soils: research & applications. CRC Press, Boca Raton, pp 703–709

    Google Scholar 

  40. Song X, Borja RI (2014) Mathematical framework for unsaturated flow in the finite deformation range. Int J Numer Methods Eng 97(9):658–682

    Article  MathSciNet  MATH  Google Scholar 

  41. Song X, Borja RI (2014) Finite deformation and fluid flow in unsaturated soils with random heterogeneity. Vad Zone J. https://doi.org/10.2136/vzj2013.07.0131

    Google Scholar 

  42. Tengattini A, Andò E (2015) Kalisphera: an analytical tool to reproduce the partial volume effect of spheres imaged in 3D. Meas Sci Technol 26(9):095606

    Article  Google Scholar 

  43. Townend J, Reeve MJ, Carter A (2000) Water release characteristic. Soil and environmental analysis: physical methods. Water release characteristic, 2nd edn. Marcel Dekker, New York, pp 95–140

    Google Scholar 

  44. Vanapalli SK, Fredlund DG, Pufahl DE (1999) The influence of soil structure and stress history on the soil–water characteristics of a compacted till. Geotechnique 49(2):143–159

    Article  Google Scholar 

  45. Van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soil. Soil Sci Soc Am J 44:892–898

    Article  Google Scholar 

  46. Viggiani G, Hall SA (2008) Full-field measurements, a new tool for laboratory experimental geomechanics. In: Fourth symposium on deformation characteristics of geomaterials, vol 1, pp 3–26. IOS Press, Amsterdam

  47. Viggiani G, Santamarina JC, Takano D, Andò E (2014) Laboratory X-ray tomography: a valuable experimental tool for revealing processes in soils

  48. Wildenschild D, Culligan KA, Christensen BS (2004) Application of X-ray micro tomography to environmental fluid flow problems. In: Optical science and technology, the SPIE 49th annual meeting, pp 432–441. International Society for Optics and Photonics

  49. Wildenschild D, Sheppard AP (2013) X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems. Adv Water Resour 51:217–246

    Article  Google Scholar 

  50. Xu J, Louge MY (2015) Statistical mechanics of unsaturated porous media. Phys Rev E 92(6):062405

    Article  Google Scholar 

  51. Yoshimoto N, Orense RP, Tanabe F, Kikkawa N, Hyodo M, Nakata Y (2011) Measurement of degree of saturation on model ground by digital image processing. Soils Found 51:167–177

    Article  Google Scholar 

  52. Yuan C, Chareyre B, Darve F (2015) Pore-scale simulations of drainage in granular materials: finite size effects and the representative elementary volume. Adv Water Resour

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Authors and Affiliations

  1. Univ. Grenoble Alpes, 3SR, 38000, Grenoble, France

    Ghonwa Khaddour, Ismael Riedel, Pascal Charrier, Gioacchino Viggiani & Simon Salager

  2. CNRS, 3SR, 38000, Grenoble, France

    Edward Andò, Pierre Bésuelle & Jacques Desrues

Authors
  1. Ghonwa Khaddour
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  2. Ismael Riedel
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  3. Edward Andò
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  4. Pascal Charrier
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  5. Pierre Bésuelle
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  6. Jacques Desrues
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  7. Gioacchino Viggiani
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  8. Simon Salager
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Correspondence to Simon Salager.

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Khaddour, G., Riedel, I., Andò, E. et al. Grain-scale characterization of water retention behaviour of sand using X-ray CT. Acta Geotech. 13, 497–512 (2018). https://doi.org/10.1007/s11440-018-0628-7

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  • DOI: https://doi.org/10.1007/s11440-018-0628-7

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