An upscaling method and a numerical analysis of swelling/shrinking processes in a compacted bentonite/sand mixture

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 28, Issue 15, 2004, Pages 1479-1502

  Xie, Mingliang ^a   Agus, S S ^b   Schanz, T ^b   Kolditz, O ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b BAUHAUS UNIVERSITY WEIMAR   (Germany)

Author keywords

Diffuse double layer theory; Interlayer porosity; Numerical analysis; Shrinking; Swelling; Upscaling

Indexed keywords

MATHEMATICAL MODELS; MICROSTRUCTURE; MIXTURES; MULTIPHASE FLOW; POROSITY; POROUS MATERIALS; SAND; SHRINKAGE; SWELLING;

FREE EXPANSIONS; PORE FLUIDS; SAND MIXTURE;

BENTONITE;

BENTONITE; NUMERICAL METHOD; SAND; SCALE EFFECT; SHRINKAGE; SOIL MECHANICS; SWELLING;

EID: 10944234776     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.396     Document Type: Article

References (57)

1. Gens A, Garcia-Molina AJ, Olivella S, Alonso EE, Huertas F. Analysis of a full scale in situ test simulating repository conditions. International Journal for Numerical and Analytical Methods in Geomechanics 1998; 22: 515-548.
2. Tsang CF, Stephansson O, Kautsky F, Jing L. An overview of the DECOVALEX project on coupled THM processes in fractured rock-bentonite systems. GeoProc 2003: International Conference on Coupled T-H-M-C Processes in Geo-systems: Fundamentals, Modeling, Experiments and Applications, vol. 1, 2003; 3-11.
3. Mielenz RC, King ME. Physical mechanical properties and engineering performance of clays. California Division of Mines Bulletin, Clays and Clay technology: National Conference on Clays and Clay Technology, 1st, Berkeley, California, vol. 169, 1955; 196-254.
4. Holtz WG, Bara JP. Comparison of expansive clays in the central valley. In Engineering Effects of Moisture Changes in Soils: International Research and Engineering Conference on Expansive Clay Soils. Texas A & M Press: California, 1965;120-151.
5. Parcher JV, Liu PCh. Some swelling characteristics of compacted clays. ASCE Journal of Soil Mechanics and Foundations Division 1965; 91 (SM3):1-17.
6. Seed HB, Woodward RJ, Lundgren R. Prediction of swelling potential for compacted clays. ASCE Journal of Soil Mechanics and Foundations Division 1962; 88 (SM3):53-87.
7. Norrish K. Manner of swelling of montmorillonite. Nature 1955; 4397: 256-257.
8. Low PF. Nature and properties of water in montomorillonite-water systems. Soil Science Society of America Journal 1979; 43: 651-658.
9. Evans JC, Fang HY, Kugelman IJ. Organic fluid effects on the permeability of soil-bentonite slurry walls. In Proceedings of the National Conference on Environmental Emergencies, Morgan K et al (eds). The Hazardous Materials Control Research Institute: Cincinnati, OH, 1985; 267-271.
10. Low PF. Structural component of the swelling pressure of clays. Langmuir 1987; 3:18-25.
11. Kaya A, Lloyd TB, Fang HY. Interfacial parameters and work of adhension in soil-liquid systems. Geotechnical Testing Journal 2000; 23 4):464-471.
12. Derjaguin BV, Landau L. Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes. Acta Physicochim: URSS 1941; 14: 633-662.
13. Bolt GH. Physico-chemical analysis of the compressibility of pure clays. Géotechnique 1956; 6 (2):86-93.
14. Sridharan A, Jayadeva MS. Double layer theory and compressibility of clays. Géotechnique 1982; 32 (2): 133-144.
15. Sposito G. The Surface Chemistry of Soils. Oxford University Press: New York, 1984.
16. Miller SE, Low PF. Characterization of the electrical double layer of montmorillonite. Langmuir 1990; 6:572-578.
17. Low PF. Interparticle forces in clay suspensions: flocculation, viscous flow and swelling. Proceedings of 1989 Clay Min. Sco. Workshop on Rheology of Clay/Water Systems, 1992.
18. Quirk JP. Application of double-layer theories to the extensive crystalline swelling of li-montmorillonite. Langmuir 1997; 13 6241-6248.
19. Huyghe JM, Janssen JD. Thermo-chemo-electro-mechanical formulation of saturated charged porous solids. Transport in Porous Media 1999; 34:129-141.
20. Iatridis JC, Laible JP, Krag MH. Influence of fixed charge density magnitude and distribution on the intervertebral disc: applications of a poroelastic and chemical electric PEACE model. Journal of Biomechanical Engineering 2003; 125:12-24.
21. Gouy G. Sur la constitution de la charge électrique à la surface dun électrolyte. Journal de Physique 1910; 9: 457-468.
22. Chapman DL. A contribution to the theory of electrocapillarity. Philosophical Magazine 1913; 25:475.
23. Verwey EJW, Overbeek JTG. Theory of the Stability of Lyophobic Colloids: The Interaction of Soil Particles having an Electric Double Layer. Elsevier: New York, 1948.
24. Mitchel JK. Fundamentals of Soil Behaviour (2nd edn). Wiley: New York, 1993.
25. Sridharan A. Strength and volume change behaviour of a sand-bentonite mixture. Canadian Geotechnical Journal 1990; 27:404.
26. Börgesson L, Johannesson LE, Sanden T, Herneling J. Modelling of the physical behavior of water saturated clay barriers-laboratory tests, material models and finite element application. SKB Technical Report 95-20, 1995.
27. Murad MA, Cushman JH. A multiscale theory of swelling porous media: II. dual porosity models for consolidation of clays incorporating physical chemical effects. Transport in Porous Media 1997; 28 (1):69-108.
28. Olivella S, Gens A. Vapour transport in low permeability unsaturated soils with capillary effects. Transport in Porous Media 2000; 40:219-241.
29. Bennethum LS, Cushman JH. Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics I: macroscale field equations. Transport in Porous Media 2002; 47 (3):309-336.
30. Bennethum LS, Cushman JH. Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics II: constitutive theory. Transport in Porous Media 2002; 47 (3):337-362.
31. Noorishad J, Ayaollahi MS, Witherspoon PA. A finite-element method for coupled stress and fluid flow analysis in fractured rock masses. International Journal of Rock Mechanics and Mining Sciences & Geomechanics 1982; 19: 185-193.
32. Thorenz C. Model adaptive simulation of multiphase and density driven flow in fractured and porous media. Ph.D. Thesis, Institut fr Strmunsmechanik und Elektron. Rechnen im Bauwesen der Universitt Hannover, 2001.
33. Kolditz O, de Jonge J. Non-isothermal two-phase flow in low-permeable porous media. Journal of Computational Mechanics 2004; 33 345-364.
34. Xie M, Wang W, de Jonge J, Kolditz O. A new mechanistic approach to swelling processes in bentonite materials. International Conference on Coupled T-H-M-C Processes in Geosystems: Fundaments, Modelling, Experiments & Application, Stephansson O, Hudson JA, Jing L (eds . KTH, Stockholm, Sweden, 2003; 315-320.
35. Agus SS, Schanz T. Swelling pressure and wetting-drying curves of a highly compacted bentonite-sand mixture. Proceedings of the International Conference 'From Experimental Evidence towards Numerical Modelling of Unsaturated Soils,' Weimar, Germany, 2003, Schanz T (ed.), Springer Proceedings in Physics, Netherland: 241-256.
36. Hicher PY, Wahyudi SH, Tessier D. Microstructural analysis of inherent and induced anisotropy in clay. Mechanics of Cohesive-Frictional Materials 2000; 5:341-371.
37. Saiyouri N, Hicher PY, Tessier D. Microstructural approach and transfer water modelling in highly compacted unsaturated swelling clays. Mechanics of Cohesive-Frictional Materials 2000; 5:41-60.
38. Grim RE, Güven N. Bentonite--Geology, Mineralogy, Properties and Uses. Elsevier Science: Amsterdam, 1978.
39. Laird DA. Layer charge influence on the hydration of expandable 2:1 phyllosilicates. Clays Clay Minerals 1999; 47 (5):630-636.
40. Tuller M, Or D. Hydraulic functions for swelling soils: pore scale considerations. Journal of Hydrology 2003; 272: 50-71.
41. Quirk JP. Soil permeability in relation to solidicity and salinity. Philosophical Transactions of the Royal Society 1986; A316 297-317.
42. Stumm W, Morgan JJ. Aquatic Chemistry (3rd edn). Wiley: New York, 1996.
43. Dzombak DA, Morel FMM. Surface Complexation Modelling: Hydrous Ferric Oxide. Wiley-Interscience: New York, 1990.
44. ASTM International. Standard test method for methylene blue index of clay, C837-99. In Book of Standards, vol. 15.02, 2001.
45. ASTM International. Standard test method for precipitated silica-surface area by single B.E.T. nitrogen adsorption, D5604-96. In Book of Standards, vol. 09.01, 2001.
46. FEBEX Working groups. Full-scale engineered barriers experiment for a deep geological repository for high level radioactive waste in crystalline host rock. Final Report, 2000.
47. van Genuchten MTh. A closed-form equation for predicting the hydraulic conductivity of saturated soils. Soil Science Society of America Journal 1980; 44:892-898.
48. Croney D, Coleman JD. Soil thermodynamics applied to the movement of moisture in road foundations. Proceedings of the 7th International Congress for Applied Mechanics, vol. 3, London, 1948; 163-177.
49. Helmig R. Multiphase Flow and Transport Processes in the Subsurface Springer: Berlin, 1997.
50. Kolditz O. Computational Methods in Environmental Fluid Mechanics. Springer: Berlin, 2002.
51. Lenhard RJ, Parker JC. A model for hysteretic constitutive relations governing multiphase flow, 2. permeability-saturation relations. Water Resources Research 1987; 23:2197-2206.
52. Gawin D, Baggio P, Schrefler BA. Coupled heat, water and gas flow in deformable porous media. International Journal for Numerical Methods 1995; 20:969-987.
53. Bear J, Bachmat Y. Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer Academic Publishers: Dordrecht, 1990.
54. Agus SS, Schanz T. Three dimensional free swell test on a highly compacted bentonite-sand mixture using vapour equilibrium technique. Personal communication, 2003.
55. Herbert HJ, Moog HCh. Untersuchungen zur quellung von bentoniten in hochsalinaren Lösungen. Abschlussbericht, Gesellschaft für Anlagen und Reaktorsicherheit (GRS) mbH, May 2002.
56. Schmidt W, Sitz S, Kessler J. Physikalische und chemische Eigenschaften von Bentonit als Verfüll-und Versiegelungsmaterial bei der Endlagerung radioaktiver Abfälle. Literaturstudie, Technischer Bericht 93-37, NAGRA, 1992.
57. Parkhurst DL, Appelo CAJ. User's guide to PHREEQC (Version 2)-a computer program for speciation, batch-reaction, one-dimensional transport, and inverse geochemical calculations. Report 99-4259, U.S. Geological Survey, Denver, Colorado, 1999.