Slow flow of granular aggregates: The deformation of sediments beneath glaciers

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 356, Issue 1747, 1998, Pages 2713-2745

  Boulton, G S ^a   Dobbie, K E ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Dilatant shear flow; Granulometry; Rate dependent flow; Stick slip; Till rheology

Indexed keywords

EID: 3042883210     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1998.0294     Document Type: Article

References (72)

1. Adams, M. J. 1996 The uniaxial compaction of particle assemblies. In Solid interactions (ed. M. J. Adams, S. K. Biswas & B. K. Briscoe), pp. 265-280. London: Imperial College Press.
2. Alley, R. B. 1991 Deforming-bed origin for southern Laurentide till sheets? J. Glaciology 37, 67-76.
3. Alley, R. B., Blankenship, D. D., Bentley, C. R. & Rooney, S. T. 1986 Deformation of till beneath ice stream B, West Antarctica. Nature 322, 57-59.
4. Bagnold, R. A. 1954 Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear. Proc. R. Soc. Lond. A 225, 49-63.
5. Bahr, D. B & Rundle, J. B. 1996 Stick-slip mechanics at the bed of a glacier. Geophys. Res. Lett. 23, 2073-2076.
6. Barden, L. 1965 Consolidation of clay with non-linear viscosity. Géotechnique 15, 345-362.
7. Bishop, A. W., Green, G. E., Garga, V. K., Andersen, A. & Brown, J. D. 1971 A new ring shear apparatus and its application to the measurement of residual strength. Géotechnique 21, 273-328.
8. Blake, E. W. & Clarke, G. K. C. 1992 Interpretation of borehole-inclinometer data: a general theory applied to a new instrument. J. Glaciology 38, 113-124.
9. Blake, E. W., Clarke, G. K. C. & Gerin, M. C. 1992 Tools for examining subglacial bed deformation. J. Glaciology 38, 388-396.
10. Blake, E. W., Fischer, U. H. & Clarke, G. K. C. 1994 Direct measurement of sliding at the glacier bed. J. Glaciology 40, 595-599.
11. Bógadottir, H., Boulton, G. S., Tómasson, H. & Thors, K. 1985 The structure of sediments beneath Breidamerkursandur and the form of the underlying bedrock. In Iceland Coastal and River Symp. (ed. G. Sigbjarnarson). Reykjavik, Iceland: National Energy Authority.
12. Boltzmann, L. 1896 Vorlesungen über Gastheorie. Leipzig: Barth. (English transl. S. G. Brush, Lectures on gas theory, University of California Press, Berkeley, 1964.)
13. Boltzmann, L. 1896 Vorlesungen über Gastheorie. Leipzig: Barth. (English transl. S. G. Brush, Lectures on gas theory, University of California Press, Berkeley, 1964.)
14. Boulton, G. S. 1987 A theory of drumlin formation by subglacial sediment deformation. In Drumlin Symp. (ed. J. Menzies & J. Rose), pp. 25-80. Rotterdam: Balkema.
15. Boulton, G. S. 1996 Theory of glacial erosion, transport and deposition as a consequence of subglacial sediment deformation. J. Glaciology 42, 43-62.
16. Boulton, G. S. & Dobbie, K. E. 1993 Consolidation of sediments by glaciers: relations between sediment geotechnics, soft-bed glacier dynamics and subglacial groundwater flow. J. Glaciology 39, 26-44.
17. Boulton, G. S. & Hindmarsh, R. C. A. 1987 Sediment deformation beneath glaciers: rheology and geological consequences. J. Geophys. Res. B 92, 9059-9082.
18. Boulton, G. S. & Jones, A. S. 1979 Stability of temperate ice caps and ice sheets resting on beds of deformable sediment. J. Glaciology 24, 29-43.
19. Boulton, G. S., Dent, D. L. & Morris, E. M. 1974 Subglacial shearing and crushing, and the role of water pressures in tills from south-east Iceland. Geografiska Annlr A 56, 135-145.
20. Boulton, G. S., Morris, E. M. & Armstrong, A. A. 1979 Direct measurement of stress at the base of a glacier. J. Glaciology 22, 3-24.
21. Boulton, G. S., Van der Meer, J. J. M., Hart, J., Beets, D., Ruegg, G. H. J., Van der Wateren, F. M. & Jarvis, J. 1996 Till and moraine emplacement in a deforming bed surge - an example from a marine environment. Quaternary Sci. Rev. 15, 961-987.
22. Clarke, G. K. C. 1987 Subglacial till: a physical framework for its properties and processes. J. Geophys. Res. 92, 9023-9036.
23. Clayton, K. M. 1999 Quantification of the impact of glacial erosion on the British Isles. (In the press.)
24. Coussot, P. & Piau, J.-M. 1995 The effects of an addition of force-free particles on the rheological properties of fine suspensions. Can. Geotech. Jl 32, 3971-3974.
25. Dafalias, Y. D. 1984 On rate dependence and anisotropy in soil constitutive modelling. In Constitutive relations for soils (ed. G. Gudehus, F. Darve & I. Vardoulakis), pp. 457-462. Rotterdam: Balkema.
26. Drake, T. G. 1990 Structural features in granular flow. J. Geophys. Res. 95, 8681-8696.
27. Drescher, A. & de Joselin de Jong, G. 1972 Photoelastic verification of a mechanical model for the flow of a granular material. J. Mech. Phys. Solids 20, 337.
28. Georgiannou, G., Burland, J. B. & Hight, D. W. 1990 The undrained behaviour of clayey sands in triaxial compression and extension. Géotechnique 40, 431-449.
29. Glen, J. W. 1955 The creep of polycrystalline ice. Proc. R. Soc. Lond. A 228, 519-538.
30. Hart, J. K. 1995 Subglacial erosion, deposition and deformation associated with deformable beds. Prog. Phys. Geography 19, 173-191.
31. Hart, J. K. & Boulton, G. S. 1991 The interrelation of glaciotectonic and glaciodepositional processes within the glacial environment. Quaternary Sci. Rev. 10, 335-350.
32. Heerema, E. P. 1979 Relationships between wall friction displacement velocity and horizontal stress in clay and in sand for pile driveability analysis. Ground Engng.
33. Hiemstra, J. F. & van der Meer, J. J. M. 1997 Pore-water controlled grain fracturing as an indicator for subglacial shearing in tills. J. Glaciology 43, 446-454.
34. Humphrey, N., Kamb, B., Fahnestock, M. & Engelhardt, H. 1993 Characteristics of the bed of the Lower Columbia glacier. J. Geophys. Res. 98, 837-846.
35. Iverson, R. M. 1985 A constitutive equation for mass-movement behaviour. J. Geology 93, 143-160.
36. Iverson, R. M. 1997 The physics of debris flows. Rev. Geophys. 35, 245-296.
37. Iverson, N. R., Hanson, B., Hooke, R. LeB. & Jansson, P. 1995 Flow mechanism of glacier soft beds. Science 267, 80-81.
38. Jenson, J. W., MacAyeal, D. R., Clarke, P. U., Ho, C. L. & Vela, J. C. 1996 Numerical modelling of subglacial sediment deformation: implications for the behaviour of the Lake Michigan Lobe, Laurentide ice sheet. J. Geophys. Res. 101, 8717-8728.
39. Johnson, P. C. & Jackson, R. 1987 Frictional-collisional constitutive relations for granular materials, with application to plane shearing. J. Fluid Mech. 176, 67-93.
40. Kamb, B. 1991 Rheological nonlinearity and flow instability in the deforming bed mechanism of ice stream motion. J. Geophys. Res. 96, 16585-16595.
41. Kumar, G. V. & Muir Wood, D. 1997 Mechanical behaviour of mixtures of kaolin and coarse sand. In Mechanics of granular and porous materials (ed. N. A. Fleck & A. C. F. Cocks), pp. 57-68. Dordrecht: Kluwer.
42. Litkouhi, S. & Poskitt, T. J. 1980 Damping constants for pile driveability calculations. Géotechnique 30, 77-86.
43. Lupini, J. F. 1981 The residual strength of soils. PhD thesis, University of London.
44. Lupini, J. F., Skinner, A. E. & Vaughan, P. R. 1981 The drained cohesive strength of cohesive soils. Géotechnique 31, 181-213.
45. MacAyeal, D. R. 1992 Irregular oscillations of the West Antarctic ice sheet. Nature 359, 29-32.
46. Maxwell, J. C. 1866 On the dynamical theory of gases. Phil. Trans. R. Soc. Lond. 157, 49-88.
47. Nye, J. F. 1952 The mechanics of glacier flow. J. Glaciology 2, 82-93.
48. Nye, J. F. 1957 The distribution of stress and velocity in glaciers and ice sheets. Proc. R. Soc. Lond. A 239, 113-133.
49. O'Brien, J. S. & Julian, P. Y. 1988 Laboratory analysis of mudflow properties. J. Hydraulic Engng 114, 877-887.
50. Patterson, W. S. B. 1981 The physics of glaciers, 2nd edn (380pp). Oxford: Pergamon Press.
51. Patterson, W. S. B. 1994 The physics of glaciers, 3nd edn (480pp). Oxford: Elsevier.
52. Paul, M. A. & Evans, H. 1974 Observations on the internal structure and origin of some flutes in glaciofluvial sediments, Blomstrandbreen, north-west Spitsbergen. J. Glaciology 13, 393-400.
53. Phillips, C. J. & Davies, T. R. H. 1991 Determining Theological parameters of debris flow material. Geomorphology 4, 101-110.
54. Rabinowicz, E. 1958 The intrinsic variables affecting the stick-slip process. Proc. R. Soc. Lond. A 71, 668-675.
55. Roscoe, K. H. 1970 The influence of strains in soil mechanics. Géotechnique 20, 129-170.
56. Rosenqvist, I. T. 1963 The influence of physico-chemical factors upon the mechanical properties of clays. Norwegian Geotechnical Institute, Publ. no. 54.
57. Savage, S. B. & Cheloborad, A. F. 1982 A model for creeping flow in landslides. Ass. English Geologists Bull. 19, 333-338.
58. Savage, S. B. & Sayed, M. 1984 Stresses developed by dry cohesionless granular materials sheared in an annular shear cell. J. Fluid Mech. 142, 391-430.
59. Schmid, W. E., Klausner, Y. & Whitmore, C. F. 1960 Rheological shear and consolidation behaviour of clay soils. Progress Report to Office of Naval Research, Department of the Navy, Washington, DC.
60. Skinner, A. E. 1969 A note on the influence of interparticle friction on the shearing strength of a random assemblage of spherical particles. Géotechnique 19, 150-157.
61. Swanston, D. N., Ziemer, R. R. & Janda, R. J. 1983 Influence of climate on progressive hillslope in Redwood Creek valley, northwest California. US Geological Survey Open-file Report, 83-259, 42pp.
62. Taylor, D. W. 1942 Research on consolidation of clays. Massachusetts Institute of Technology, Department of Civil and Sanitary Engineering, Serial 82.
63. Taylor, D. W. & Merchant, W. 1940 A theory of clay consolidation accounting for secondary compression. J. Math. Phys. 19, 167-185.
64. Terzaghi, K. 1925 Erdbaumechanik. Vienna: Franz Deuticke.
65. Terzaghi, K. 1941 Undisturbed clay samples and undisturbed clays. J. Boston Soc. Civil Engrs 28(3), 211-231.
66. Thornton, C. 1996 From contact mechanics to particulate mechanics. In Solid-solid interactions (ed. M. J. Adams, S. K. Biswas & B. J. Briscoe), pp. 250-264. London: Imperial College Press.
67. Thornton, C. & Sun, G. 1993 Axisymmetric compression of 3D polydisperse systems of spheres. In Powders and grains (ed. C. Thornton). Rotterdam: Balkema.
68. Trenter, N. A., Wilson, S. L. S. & Stewart, P. S. 1997 Engineering in glacial tills. Construction Industry Research and Information Association, Research Project RP 514, 256pp.
69. Wilkinson, W. L. 1960 Non-Newtonian fluids - fluid mechanics, mixing and heat transfer (130pp). New York: Pergamon Press.
70. Winter, M. G., Holmgeirsdöttir, Th. & Suhardi, J. 1998 The effect of large particles on acceptability determination for earthworks compaction. Q. Jl Engng Geol.
71. Wladis, D., Jonsson, P. & Wallroth, T. 1997 Regional characterization of hydraulic properties of rock using well test data. Svensk Karnbranslehantering AB, Technical Report, 97-29, 40pp.
72. Wong, W. W. H., Ho, C. L., Iverson, R. M. & Hovind, C. L. 1995 Evaluation of viscoplastic slope movement based on triaxial tests. In Clay and shale slope instability (ed. W. C. Haneberg & S. A. Anderson). Geological Soc. Am. Rev. Engng Geol. 10, 39-50.