Nonisothermal Consolidation in Unsaturated Soil
Publication: Journal of Geotechnical Engineering
Volume 115, Issue 10
Abstract
Consolidation of unsaturated soil depends upon changes in stress‐state variables resulting from applied stress and movement of pore water and gas. Water movement is highly dependent on heat flow, and much water movement takes place in the vapor phase. Consequently, water movement, soil deformation, and heat flow in an unsaturated soil mass are coupled phenomena. Equations are developed to describe water movement and deformation as functions of time, taking into account evaporation and temperature effects. In these equations, coordinate transforms are defined that‐allow finite strain conditions to be included. A computer model was developed to solve these equations. Good correlation was observed between the model and results for standard cases of rigid, partially saturated flow and saturated consolidation. Examples are presented for drainage of singleand multiple‐layered soil. An example is also presented for a uranium mill tailings profile comprising several layers with placement of a cover on the surface and taking into account both drainage and evaporation.
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References
1.
Baladi, J. Y., Ayers, D. L., and Schoenhals, R. J. (1981). “Transient heat and mass transfer in soils.” Int. J. Heat Mass Transfer, 24(3), 449–458.
2.
Barden, L., Madedor, A. O., and Sides, G. R. (1969). “Volume change characteristics of unsaturated clay.” J. Soil Mech. and Found. Engrg. Div., ASCE, 95(1), 33–51.
3.
Biot, M. A. (1941). “General theory of three dimensional consolidation.” J. Appl. Phys., 12(2), 115–164.
4.
Biot, M. A. (1955). “Theory of elasticity and consolidation for a porous anisotropic solid.” J. Appl. Phys., 26(2), 182–185.
5.
Bishop, A. W. (1960). “The principle of effective stress.” Pub. 32, Norwegian Geotechnical Institute, Oslo, Norway, 1–5.
6.
Brooks, R. M., and Corey, A. T. (1964). “Properties of porous media affecting fluid flow.” J. Irrig. and Drain. Div., ASCE, 92(2), 61–87.
7.
Chen, P. K., Keshian, B., Jr., and Guros, F. B. (1988). “Settlement of uranium mill tailings.” Hydraulic fill structures. Geotechnical Special Publication No. 21, D. J. A. Van Zyl and S. G. Vick, eds., ASCE, New York, N.Y., 310–329.
8.
Corey, A. T. (1977). Mechanics of heterogeneous fluids in porous media. Water Resources Publications, Fort Collins, Colo.
9.
Dakshanamurthy, V., and Fredlund, D. G. (1981a). “A mathematical model for predicting moisture flow in an unsaturated soil under hydraulic and temperature gradients.” Water Resour. Res., 17(3), 714–722.
10.
Dakshanamurthy, V., and Fredlund, D. G. (1981b). “Moisture and air flow in an unsaturated soil.” Proc. Fourth Int. Conf. on Expansive Soils, 1, ASCE, 514–532.
11.
Dempsey, B. J. (1978). “A mathematical model for predicting coupled heat and water movement in unsaturated soil.” Int. J. Numer. Anal. Methods Geomech., 2(1), 19–34.
12.
DeSimone, P., and Viggiani, C. (1976). “Consolidation of thick beds of clay.” Numerical methods in geomechanics, C. S. Desai, ed., ASCE, Blacksburg, Va., 1067–1081.
13.
DeVries, D. A. (1963). “Thermal properties of soils.” Physics of plant environment, W. R. van Wijk, ed., John Wiley and Sons, New York, N.Y., 210–235.
14.
Edgar, T. V. (1983). “Moisture movement in non‐isothermal deformable media,” thesis presented to Colorado State University, at Fort Collins, Colo., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
15.
Edlefson, N. E., and Anderson, A. B. C. (1943). “Thermodynamics of soil moisture.” Hilgardia, 17(2), 31–298.
16.
Fink, D. H., and Jackson, R. D. (1973). “An equation for describing water vapor adsorption isotherms of soils.” Soil Sci., 116(4), 256–261.
17.
Fredlund, D. G., and Hasan, J. U. (1979). “One‐dimensional consolidation theory: unsaturated soils.” Can. Geotech. J., 16(3), 521–531.
18.
Fredlund, D. G., and Morgenstern, N. R. (1976). “Constitutive relations for volume change in unsaturated soils.” Can. Geotech. J., 13(3), 261–276.
19.
Fredlund, D. G., and Morgenstern, N. R. (1977). “Stress state variables for unsaturated soils.” J. Geotech. Engrg. Div., ASCE, 103(5), 447–466.
20.
Gibson, R. E., England, G. L., and Hussey, M. J. L. (1967). “The theory of one‐dimensional consolidation of saturated clays.” Geotechnique, 17(3), 261–273.
21.
Gibson, R. E., Schiffmann, R. L., and Cargill, K. W. (1981). “The theory of one‐dimensional consolidation of saturated clays. II. Finite non‐linear consolidation of thick homogeneous layers.” Can. Geotech. J., 18(3), 280–293.
22.
Gillham, R. W., Klute, A., and Heerman, D. F. (1979). “Measurement and numerical simulation of hysteretic flow in a heterogeneous porous medium.” Soil Sci. Soc. Am. Proc., 43(6), 1061–1067.
23.
Jacob, C. E. (1940). “On the flow of water in an elastic artesian aquifer.” Trans. Am. Geophys. Union, 20(1), 574–586.
24.
Jury, W. A., and Letey, J., Jr. (1979). “Water vapor movement in soil: reconciliation of theory and experiment.” Soil Sci. Soc. Am. Proc., 43(5), 823–827.
25.
Komurka, V. E. (1985). “Settlement and drainage of uranium mill tailings,” thesis presented to Colorado State University, at Fort Collins, Colo., in partial fulfillment of the requirements for the degree of Master of Science.
26.
Lambe, T. W., and Whitman, R. V. (1969). Soil mechanics. John Wiley and Sons, Inc., New York, N.Y.
27.
Letey, J. (1968). “Movement of water through soil as influenced by osmotic pressure and temperature gradients.” Hilgardia, 39(14), 405–418.
28.
Lloret, A., and Alonso, E. E. (1980). “Consolidation of unsaturated soils including swelling and collapse behavior.” Geotechnique, 30(14), 449–477.
29.
McNabb, A. (1960). “A mathematical treatment of one‐dimensional soil consolidation.” Q. Appl. Math., 17(4), 337–347.
30.
Monte, J. L., and Krizek, R. J. (1976). “One‐dimensional mathematical model for large strain consolidation.” Geotechnique, 26(3), 495–510.
31.
Moore, R. E. (1939). “Water conduction from shallow water tables.” Hilgardia, 12(6), 383–426.
32.
Narasimhan, T. N., and Whitherspoon, P. A. (1977). “Numerical model for saturated‐unsaturated flow in porous media. 1. Theory.” Water Resour. Res., 13(3), 657–664.
33.
Narasimhan, T. N., Whitherspoon, P. A., and Edwards, A. L. (1978a). “Numerical model for saturated‐unsaturated flow in porous media. 2. The algorithm.” Water Resour. Res., 14(2), 255–261.
34.
Narasimhan, T. N., and Whitherspoon, P. A. (1978b). “Numerical model for saturated‐unsaturated flow in deformable porous media. 3. Applications.” Water Resour. Res., 14(6), 1017–1034.
35.
Nelson, J. D., and Davis, L. A. (1987). “Drainge of tailings impoundments.” Proc., Int. Conf. on Mining and Industrial Waste Management, South African Institution of Civil Engineers, Johannesburg, South Africa, 195–204.
36.
Olsen, H. W. (1969). “Simultaneous fluxes of liquid and charge in saturated kaolinite.” Soil Sci. Soc. Am. Proc., 33(3), 338–344.
37.
Philip, J. R. (1957a). “The theory of infiltration: 1. The infiltration equation and its solution.” Soil Sci., 83(5), 345–347.
38.
Philip, J. R. (1957b). “The theory of infiltration: 2. The profile at infinity.” Soil Sci., 83(6), 435–448.
39.
Philip, J. R. (1969). “Hydrostatics and hydrodynamics in swelling soils.” Water Resour. Res., 5(5), 1070–1077.
40.
Philip, J. R., and DeVries, D. A. (1957). “Moisture movement in porous materials under temperature gradients.” Trans., Am. Geophys. Union, 38(2), 222–232.
41.
Raats, P. A. C., and Klute, A. (1968a). “Transport in soils: the balance of mass.” Soil Sci. Soc. Am. Proc., 32(2), 161–166.
42.
Raats, P. A. C., and Klute, A. (1968b). “Transport in soils: the balance of momentum.” Soil Sci. Soc. Am. Proc., 32(4), 452–456.
43.
Raats, P. A. C., and Klute, A. (1969). “One‐dimensional simultaneous motion of the aqueous phase and the solid phase of saturated and partially saturated porous media.” Soil Sci. Soc. Am. Proc., 107(5), 329–333.
44.
Richards, L. A. (1931). “Capillary conduction of liquids through porous media.” Physics, 1(2), 318–333.
45.
Schiffman, R. L., Pane, V., and Gibson, R. E. (1984). “The theory of one‐dimensional consolidation of saturated clays. IV. An overview of nonlinear finite strain sedimentation and consolidation.” Sedimentation/consolidation models, ASCE, San Francisco, Calif., 1–29.
46.
Schiffman, R. L., Vick, S. G., and Gibson, R. E. (1988). “Behavior and properties of hydraulic fills.” Hydraulic fill structures, Geotechnical Special Publication No. 21, D. J. A. Van Zyl and S. G. Vick, eds., ASCE, New York, N.Y., 166–202.
47.
Sepaskhah, A. R., and Boersma, L. (1979). “Thermal conductivity of soils as a function of temperature and water content.” Soil Sci. Soc. Am. Proc., 43(3), 439–444.
48.
Sherry, G. P. (1982). “Constitutive relationships for unsaturated uranium mill tailings,” thesis presented to Colorado State University, at Fort Collins, Colo., in partial fulfillment of the requirements for the degree of Master of Science.
49.
Slegal, D. L., and Davis, L. R. (1977). “Transient heat and mass transfer in soils in the vicinity of heated porous pipes.” J. Heat Transfer, 99(4), 541–546.
50.
Smiles, D. E., and Rosenthal, J. M. (1968). “The movement of water in swelling materials.” Aust. J. Soil Res., 6(4), 237–248.
51.
Sposito, G. (1973). “Volume changes in swelling clays.” Soil Sci., 115(4), 315–320.
52.
Taylor, S. A., and Cary, J. W. (1960). “Analysis of the simultaneous flow of water and heat or electricity with the thermodynamics of irreversible processes.” Proc., 7th Int. Congress of Soil Sci., Madison, Wis., 1, 80–90.
53.
Terzaghi, K. (1925). “Erdbaumechanik. Franz Deuticke, Vienna, Austria (in German).
54.
Terzaghi, K. (1943). Theoretical soil mechanics. John Wiley and Sons, Inc., New York, N.Y.
55.
Theis, C. V. (1935). “The relationship between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage.” Trans. Am. Geophys. Union, 16(1), 519–524.
56.
Truesdell, C., and Toupin, R. (1960). “Classical field theories.” Encyclopedia of physics, S. Flugge, ed. III/1, Springer‐Verlag, West Berlin.
57.
Wierenga, P. J., Nielsen, D. R., and Hagan, R. M. (1969). “Thermal properties of a soil based upon field and laboratory measurements.” Soil Sci. Soc. Am. Proc., 33(3), 354–360.
58.
Znidarcic, D., and Schiffman, R. L. (1982). “On Terzaghi's concept of consolidation.” Geotechnique, 32(4), 387–389.
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Published In
Journal of Geotechnical Engineering
Volume 115 • Issue 10 • October 1989
Pages: 1351 - 1372
Copyright
Copyright © 1989 ASCE.
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Published online: Oct 1, 1989
Published in print: Oct 1989
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