Constitutive Relations for Partially Saturated Soils Containing Gas Inclusions
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Volume 122, Issue 1
Abstract
This paper is concerned with a mathematical description of the undrained response of partially saturated soils having a continuous liquid phase (water) and a gas in the form of discrete bubbles. Two types of soil structures are considered. First is the case in which the gas inclusions, of size much smaller than the average particle size, are entrapped in the water phase. Second is the case in which the comparatively larger gas bubbles are embedded in the saturated soil skeleton. The fluid phases are assumed to be separated by boundaries across which discontinuities in pressure exist due to surface tension. The soil is treated as a three-phase composite medium and the mechanical properties are described in terms of average stress/strain measures in all constituents. The mathematical formulation incorporates the average pore/bubble size as an independent material parameter governing the mechanical response.
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References
1.
Alonson, A. A., Gens, A., and Josa, A.(1990). “A constitutive model for partially saturated soils.”Géotechnique, London, U.K., 40, 405–430.
2.
Alonso, E. E., and Lloret, A. (1982). “Behaviour of partially saturated soils in undrained loading and step by step embankment construction.”Deformation and failure of granular materials. P. A. Vermeer and H. J. Huger, eds., A. A. Balkema, Rotterdam, The Netherlands, 173–180.
3.
Bishop, A. W., Alpan, I., Blight, G. E., and Donald, I. B. (1960). “Factors controlling the strength of partly saturated cohesive soils.”Proc., Res. Conf. on Shear Strength of Cohesive Soils, ASCE, New York, N.Y., 505–532.
4.
Blight, G. E. (1965). “A study of effective stresses for volume change.”Proc., Conf. on Moisture Equilibria and Moisture Changes in Soil beneath Covered Areas, Butterworth's, London, U.K., 259–269.
5.
Bower, C. A., and Goertzen, J. O.(1959). “Surface area of soils and clays by an equilibrium ethylene glycol method.”Soil Sci., 87(5), 289–292.
6.
Chang, C. S., and Duncan, J. M.(1983). “Consolidation analysis of partly saturated clay using an elastic-plastic effective stress-strain model.”Int. J. Numer. and Anal. Methods in Geomech., 7, 39–55.
7.
Corey, A. T. (1977). Mechanics of heterogenous fluids in porous media . Water Resources Publications, Fort Collins, Colo.
8.
Donaldson, E. C., Kendall, R. F., and Baker, B. A.(1973). “Surface area measurement of geologic materials.”Soc. Petroleum Engrg. J., 13, 111–116.
9.
Fredlund, D. G.(1976). “Density and compressibility characteristics of air-water mixtures.”Can. Geotech. J., Ottawa, Canada, 13, 386–396.
10.
Fredlund, D. G., Rahardjo, H., and Gan, J. K. M. (1987). “Non-linearity of strength envelope for unsaturated soils.”Proc., 6th Int. Conf. on Expansive Soils, A. A. Balkema, Rotterdam, The Netherlands, 49–54.
11.
Hasan, J. V., and Fredlund, D. G.(1980). “Pore pressure parameters for unsaturated soils.”Can. Geotech. J., Ottawa, Canada, 17, 395–404.
12.
Ho, D. Y. F., and Fredlund, D. G. (1982). “Increase in strength due to suction for two Hong Kong soils.”Proc., Conf. on Engrg. and Constr. in Tropical and Residual Soils, ASCE, New York, N.Y., 263–295.
13.
Koning, H. L.(1963). “Some observations on modulus of compressibility of water.”Proc., Conf. Settlement and Compressibility of Soils, 1, 33–36.
14.
Madsen, O. S.(1978). “Wave-induced pore pressures and effective stresses in a porous bed.”Géotechnique, London, U.K., 28, 377–393.
15.
Mura, T. (1987). Micromechanics of defects in solids . Martinus Nijhoff Publishers, Dordrecht, The Netherlands.
16.
Okusa, S.(1985). “Wave induced stress in unsaturated marine sediments.”Géotechnique, London, U.K., 35, 517–532.
17.
Perry, J. H. (1950). Chemical engineers handbook. McGraw–Hill, New York, N.Y.
18.
Pietruszczak, S.(1994). “A continuum theory for granular media partially saturated with a viscous fluid.”Int. J. Numer. and Anal. Methods in Geomech., 18, 93–105.
19.
Pietruszczak, S., and Pande, G. N.(1991). “On the mechanics of partially saturated soils.”Comp. and Geotechnics, 12, 55–71.
20.
Pietruszczak, S., and Pande, G. N.(1992). “A description of the unrained response of gas-bearing soils.”Proc., NUMOG IV, A. A. Balkema, Rotterdam, The Netherlands, 1, 169–179.
21.
Pietruszczak, S., and Stolle, D. F. E.(1987). “Modelling of sand behaviour under earthquake excitation.”Int. J. Numer. and Anal. Methods in Geomech., 11, 221–240.
22.
Schuurman, E.(1966). “The compressibility of an air/water mixture and a theoretical relation between the air and water pressures.”Géotechnique, London, U.K., 16(4), 269–281.
23.
Sills, G. C., Wheeler, S. J., Thomas, S. D., and Gardner, T. N.(1991). “The behaviour of offshore soils containing gas bubbles.”Géotechnique, London, U. K., 41(2), 227–241.
24.
Thomas, S. D.(1989). “A finite element model for the analysis of wave induced stresses.” Displacements and pore pressures in an unsaturated seabed.”Comp. and Geotechnics, 8, 1–38.
25.
Toll, D. G. (1988). “The behaviour of unsaturated compacted naturally occurring gravel,” PhD thesis, Univ. of London, London, U.K.
26.
Verruijt, A. (1977). “Generation and dissipation of pore water pressures.”Finite elements in Geomechanics, G. Gudehus, ed., Wiley, London, U.K., 293–317.
27.
Wheeler, S. J. (1986). “The stress-strain behaviour of soils containing air bubbles,” DPhil. thesis, Oxford Univ., Oxford, England.
28.
Wheeler, S. J.(1988). “A conceptual model for soils containing large gas bubbles.”Géotechnique, London, U.K., 38(3), 389–397.
29.
Wood, D. M. (1979). “The behaviour of partly saturated soil: a review.”Rep. CUED/D- Soils /TR 69, Univ. of Cambridge, Cambridge, U.K.
30.
Wroth, C. P., and Houlsby, G. T.(1985). “Soil mechanics: property characterization and analysis procedures.”Proc., 11th ICSMFE, 1, 1–55.
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Published In
Journal of Geotechnical Engineering
Volume 122 • Issue 1 • January 1996
Pages: 50 - 59
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Jan 1, 1996
Published in print: Jan 1996
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