Abstract
The behavior of model granular materials (glass beads) wetted by a small quantity of liquid forming capillary bridges is studied by one-dimensional compression test combined with X-ray computed tomography (XRCT) observation. Special attention is paid to obtain very loose initial states (initial void ratio of about 2.30) stabilized by capillary cohesion. XRCT-based analyses involve spherical particle detection adapted to relatively low-resolution images, which enable heterogeneities to be visualized and microstructural information to be collected. This study on an ideal material provides an insight into the macroscopic compression behavior of wet granular materials based on the microstructural change, such as pore distance distribution, coordination number of contacts, coordination number of neighbors and number of contacts per grain.
Similar content being viewed by others
Abbreviations
- a :
-
Size of standard volume
- b :
-
Size of extended volume
- \( \left\langle d \right\rangle \) :
-
Average diameter
- d min :
-
Minimum diameter
- d max :
-
Maximum diameter
- e 0 :
-
Initial void ratio
- e :
-
Void ratio
- EV:
-
Extended volume
- f(r):
-
Signature curve
- Φ 0 :
-
Initial solid fraction
- g(r):
-
Radial distribution function
- i, j, k :
-
Voxel indices
- iC, jC, kC :
-
Center position of detected sphere
- I(i, j, k):
-
Intensity at voxel (i, j, k)
- ∇I(i, j, k):
-
Gradient vector at voxel (i, j, k)
- N :
-
Number of particles
- N C :
-
Number of pairs in contacts
- p(r):
-
Average number density of particles
- q(i, j, k):
-
Vector from (iC, jC, kC) to voxel (i, j, k)
- r :
-
Radii of particles/radial distance
- SV:
-
Standard volume
- Si:
-
Step of scan (S1, S2, S3, S4)
- z :
-
Total coordination number
- z(h):
-
Coordination number of close neighbors
References
Agnolin I, Roux J-N (2007) Internal states of model isotropic granular packings. I. Assembling process, geometry, and contact networks. Phys Rev E 76:061302. https://doi.org/10.1103/physreve.76.061302
Al-Raoush R (2007) Microstructure characterization of granular materials. Phys A Stat Mech Appl 377:545–558. https://doi.org/10.1016/j.physa.2006.11.090
Al-Raoush RI, Willson CS (2005) Extraction of physically realistic pore network properties from three-dimensional synchrotron X-ray microtomography images of unconsolidated porous media systems. J Hydrol 300:44–64. https://doi.org/10.1016/j.jhydrol.2004.05.005
Andò E, Bésuelle P, Hall Sa et al (2012) Experimental micromechanics: grain-scale observation of sand deformation. Géotech Lett 2:107–112. https://doi.org/10.1680/geolett.12.00027
Aste T (2005) Variations around disordered close packing. J Phys Condens Matter 17:S2361–S2390. https://doi.org/10.1088/0953-8984/17/24/001
Aste T, Saadatfar M, Sakellariou A, Senden TJ (2004) Investigating the geometrical structure of disordered sphere packings. Phys A Stat Mech Appl 339:16–23. https://doi.org/10.1016/j.physa.2004.03.034
Aste T, Saadatfar M, Senden T (2005) Geometrical structure of disordered sphere packings. Phys Rev E 71:1–15. https://doi.org/10.1103/PhysRevE.71.061302
Aste T, Saadatfar M, Senden TJ (2006) Local and global relations between the number of contacts and density in monodisperse sphere packs. J Stat Mech Theory Exp 2006:P07010. https://doi.org/10.1088/1742-5468/2006/07/P07010
Bruchon J-F, Pereira J-M, Vandamme M et al (2013) Full 3D investigation and characterisation of capillary collapse of a loose unsaturated sand using X-ray CT. Granul Matter 15:783–800. https://doi.org/10.1007/s10035-013-0452-6
Bruchon J-F, Pereira J-M, Vandamme M et al (2013) X-ray microtomography characterisation of the changes in statistical homogeneity of an unsaturated sand during imbibition. Géotech Lett 3:84–88. https://doi.org/10.1680/geolett.13.00013
Chalak C, Chareyre B, Nikooee E, Darve F (2017) Partially saturated media: from DEM simulation to thermodynamic interpretation. Eur J Environ Civ Eng 21:798–820. https://doi.org/10.1080/19648189.2016.1164087
Dadda A, Geindreau C, Emeriault F et al (2019) Characterization of contact properties in biocemented sand using 3D X-ray micro-tomography. Acta Geotech 14:597–613. https://doi.org/10.1007/s11440-018-0744-4
Delenne J-Y, El Youssoufi MS, Cherblanc F, Bénet J-C (2004) Mechanical behaviour and failure of cohesive granular materials. Int J Numer Anal Methods Geomech 28:1577–1594. https://doi.org/10.1002/nag.401
Delenne J-Y, Soulié F, El Youssoufi MS, Radjai F (2011) From liquid to solid bonding in cohesive granular media. Mech Mater 43:529–537. https://doi.org/10.1016/j.mechmat.2011.06.008
Delenne J-Y, Richefeu V, Radjai F (2015) Liquid clustering and capillary pressure in granular media. J Fluid Mech 762:R5-1–R5-10. https://doi.org/10.1017/jfm.2014.676
Ding W, Howard AJ, Peri MDM, Cetinkaya C (2007) Rolling resistance moment of microspheres on surfaces: contact measurements. Philos Mag 87:5685–5696. https://doi.org/10.1080/14786430701708356
Donev A, Torquato S, Stillinger FH (2005) Pair correlation function characteristics of nearly jammed disordered and ordered hard-sphere packings. Phys Rev E Stat Nonlinear Soft Matter Phys 71:1–14. https://doi.org/10.1103/PhysRevE.71.011105
Farber L, Tardos G, Michaels JN (2003) Use of X-ray tomography to study the porosity and morphology of granules. Powder Technol 132:57–63. https://doi.org/10.1016/S0032-5910(03)00043-3
Fournier Z, Geromichalos D, Herminghaus S et al (2005) Mechanical properties of wet granular materials. J Phys Condens Matter 17:477–502. https://doi.org/10.1088/0953-8984/17/9/013
Fu X, Dutt M, Bentham AC et al (2006) Investigation of particle packing in model pharmaceutical powders using X-ray microtomography and discrete element method. Powder Technol 167:134–140. https://doi.org/10.1016/j.powtec.2006.06.011
Gilabert F, Roux J-N, Castellanos A (2007) Computer simulation of model cohesive powders: influence of assembling procedure and contact laws on low consolidation states. Phys Rev E 75:011303. https://doi.org/10.1103/PhysRevE.75.011303
Gilabert F, Roux J-N, Castellanos A (2008) Computer simulation of model cohesive powders: plastic consolidation, structural changes, and elasticity under isotropic loads. Phys Rev E 78:031305. https://doi.org/10.1103/PhysRevE.78.031305
Golchert DJ, Moreno R, Ghadiri M et al (2004) Application of X-ray microtomography to numerical simulations of agglomerate breakage by distinct element method. Adv Powder Technol 15:447–457. https://doi.org/10.1163/1568552041270554
Illingworth J, Kittler J (1987) The adaptive hough transform. IEEE Trans Pattern Anal Mach Intell PAMI 9:690–698. https://doi.org/10.1109/tpami.1987.4767964
Jiang M, Hu H, Liu F (2012) Summary of collapsible behaviour of artificially structured loess in oedometer and triaxial wetting tests. Can Geotech J 1157:1147–1157. https://doi.org/10.1139/T2012-075
Kadau D, Bartels G, Brendel L, Wolf DE (2003) Pore stabilization in cohesive granular systems. Phase Transit 76:315–331. https://doi.org/10.1080/0141159021000051460
Khaddour G (2005) Multi-scale characterization of the hydro-mechanical behavior of unsaturated sand: water retention and triaxial responses. Université Grenoble Alpes, France
Khaddour G, Riedel I, Andò E et al (2018) Grain-scale characterization of water retention behaviour of sand using X-ray CT. Acta Geotech 13:497–512. https://doi.org/10.1007/s11440-018-0628-7
Khamseh S, Roux J-N, Chevoir F (2015) Flow of wet granular materials: a numerical study. Phys Rev E 92:022201–022219. https://doi.org/10.1103/PhysRevE.92.022201
Lai Z, Chen Q (2019) Reconstructing granular particles from X-ray computed tomography using the TWS machine learning tool and the level set method. Acta Geotech. https://doi.org/10.1007/s11440-018-0759-x
Lame O, Bellet D, Di Michiel M, Bouvard D (2003) In situ microtomography investigation of metal powder compacts during sintering. Nucl Instrum Methods Phys Res Sect B Beam Interact Mater Atoms 200:287–294. https://doi.org/10.1016/S0168-583X(02)01690-7
Marmottant A, Salvo L, Martin CL, Mortensen A (2008) Coordination measurements in compacted NaCl irregular powders using X-ray microtomography. J Eur Ceram Soc 28:2441–2449. https://doi.org/10.1016/j.jeurceramsoc.2008.03.041
Mason TG, Levine AJ, Ertaş D, Halsey TC (1999) Critical angle of wet sandpiles. Phys Rev E 60:R5044–R5047
Melnikov K, Wittel FK, Herrmann HJ (2016) Micro-mechanical failure analysis of wet granular matter. Acta Geotech 11:539–548
Mitarai N, Nori F (2006) Wet granular materials. Adv Phys 00:1–50
Mitchell JK, Soga K (1976) Fundamentals of soil behavior. Wiley, London
Moreno-Atanasio R, Williams RA, Jia X (2010) Combining X-ray microtomography with computer simulation for analysis of granular and porous materials. Particuology 8:81–99. https://doi.org/10.1016/j.partic.2010.01.001
Moscariello M, Cuomo S, Salager S (2018) Capillary collapse of loose pyroclastic unsaturated sands characterized at grain scale. Acta Geotech 13:117–133. https://doi.org/10.1007/s11440-017-0603-8
Munõz-Castelblanco J, Delage P, Pereira J-M, Cui YJ (2011) Some aspects of the compression and collapse behaviour of an unsaturated natural loess. Géotech Lett 1:17–22. https://doi.org/10.1680/geolett.11.00003
Newitt DM, Conway-Jones JM (1958) A contribution to the theory and practice of granulation. Trans Inst Chem Eng 36:422
Peng T, Balijepalli A, Gupta SK, LeBrun T (2007) Algorithms for on-line monitoring of micro spheres in an optical tweezers-based assembly cell. J Comput Inf Sci Eng 7:330. https://doi.org/10.1115/1.2795306
Pierrat P, Caram HS (1997) Tensile strength of wet granular materials. Powder Technol 91:83–93. https://doi.org/10.1016/S0032-5910(96)03179-8
Richefeu V, Radjaï F, El Youssoufi MS (2006) Stress transmission in wet granular materials. Eur Phys J E 21:359–369
Richefeu V, El Youssoufi MS, Azéma E, Radjaï F (2009) Force transmission in dry and wet granular media. Powder Technol 190:258–263. https://doi.org/10.1016/j.powtec.2008.04.069
Ridler TW, Calvard S (1978) Picture thresholding using an iterative selection method. IEEE Trans Syst Man Cybern 8:630–632. https://doi.org/10.1109/TSMC.1978.4310039
Rognon PG, Roux J-N, Wolf D et al (2006) Rheophysics of cohesive granular materials. Europhys Lett 74:644–650. https://doi.org/10.1209/epl/i2005-10578-y
Santamarina JC (2001) Soil behavior at the microscale: particle forces. In: Ladd CC (ed) Soil behavior and soft ground construction. MIT Press, Cambridge, pp 1–32
Scheel M, Seemann R, Brinkmann M et al (2008) Morphological clues to wet granular pile stability. Nat Mater 7:189
Scholtès L, Chareyre B, Nicot F, Darve F (2009) Micromechanics of granular materials with capillary effects. Int J Eng Sci 47:1460–1471. https://doi.org/10.1016/j.ijengsci.2009.10.003
Sweijen T, Nikooee E, Hassanizadeh SM, Chareyre B (2016) The effects of swelling and porosity change on capillarity: DEM coupled with a pore-unit assembly method. Transp Porous Media 113:207–226. https://doi.org/10.1007/s11242-016-0689-8
Sweijen T, Chareyre B, Hassanizadeh SM, Karadimitriou NK (2017) Grain-scale modelling of swelling granular materials; application to super absorbent polymers. Powder Technol 318:411–422. https://doi.org/10.1016/j.powtec.2017.06.015
Tang A-M, Cui Y-J, Eslami J, Défossez P (2009) Analysing the form of the confined uniaxial compression curve of various soils. Geoderma 148:282–290. https://doi.org/10.1016/j.geoderma.2008.10.012
Tengattini A, Andò E (2015) Kalisphera: an analytical tool to reproduce the partial volume effect of spheres imaged in 3D. Meas Sci Technol 26:095606. https://doi.org/10.1088/0957-0233/26/9/095606
Than V-D, Khamseh S, Tang A-M et al (2016) Basic mechanical properties of wet granular materials: a DEM study. J Eng Mech. https://doi.org/10.1061/(asce)em.1943-7889.0001043
Torquato S (2002) Random heterogeneous materials: microstructure and macroscopic properties. Springer, New York
Wang Y-H, Leung S-C (2008) A particulate-scale investigation of cemented sand behavior. Can Geotech J 45:29–44. https://doi.org/10.1139/T07-070
Wang YH, Leung SC (2008) Characterization of cemented sand by experimental and numerical investigations. J Geotech Geoenviron Eng 134:992–1004
Wang J-P, Li X, Yu H-S (2018) A micro–macro investigation of the capillary strengthening effect in wet granular materials. Acta Geotech. https://doi.org/10.1007/s11440-017-0619-0
Wang JP, Lambert P, De Kock T et al (2019) Investigation of the effect of specific interfacial area on strength of unsaturated granular materials by X-ray tomography. Acta Geotech 1:5. https://doi.org/10.1007/s11440-019-00765-2
Wiebicke M, Andò E, Herle I, Viggiani G (2017) On the metrology of interparticle contacts in sand from X-ray tomography images. Meas Sci Technol 28:124007
Williams RA, Jia X (2003) Tomographic imaging of particulate systems. Adv Powder Technol 14:1–16. https://doi.org/10.1163/156855203762469867
Wood DM (1990) Soil behaviour and critical state soil mechanics. Cambridge University Press, Cambridge
Xie L, Cianciolo RE, Hulette B et al (2012) Magnetic resonance histology of age-related nephropathy in the Sprague Dawley rat. Toxicol Pathol 40:764–778. https://doi.org/10.1177/0192623312441408
Acknowledgements
This work is part of the first author’s PhD thesis funded by the Ministry of Education and Training of Vietnam. The authors are grateful to Dr. Michel Bornert (Laboratoire Navier) for his useful suggestions and Mr. Jean-Marc Plessier (Laboratoire Navier) for the scanning electronic microscopic image of a glass bead.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Than, VD., Aimedieu, P., Pereira, JM. et al. Experimental investigation on the grain-scale compression behavior of loose wet granular material. Acta Geotech. 15, 1039–1055 (2020). https://doi.org/10.1007/s11440-019-00856-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11440-019-00856-0