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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 417))

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Abstract

Isothermal flow of water through unsaturated soil is a subject of interest in a range of disciplines covering Soil Science, soil physics, groundwater hydrology, irrigation, plant science, environmental engineering and of course geotechnical engineering. This widespread and diverse application area has stimulated, over the years, a major research effort in this field, which in turn has yielded a very substantial body of knowledge on the subject. Indeed a recent review of the literature, carried by the authors, identified a bibliography of in excess of 400 papers in this area.

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References

  • Akai, K., Ohnishi, Y. and Nishigaki, M. (1979) ‘Finite element analysis of three-dimensional flows in saturated-unsaturated soils’. 3rd Int. Conf. Num. Meth. Geomech. 1:227–239, Aachen.

    Google Scholar 

  • Allmaras, R.R., Nelson, W.W. and Voorhees, W.B. (1975) ‘Soybean and corn rooting in south western Minnesota 1. water uptake sink’. Soil Sci. Soc. Am. Proc. 39: 764–771.

    Google Scholar 

  • Alonso, E. E., Battle, F., Gens, A. and Lloret, A. (1988) ‘Consolidation analysis of partially saturated soils - Application to earth dam construction’. Proc. 6th Int. Conf. on Numerical Methods in Geomechanics, Innsbruck, 11–15 April, 1988, G. Swoboda ed., p 1303–1308.

    Google Scholar 

  • Alonso, E.E., Gens, A. and D.W. Hight, (1989) ‘Special problem soils - general report (session 5)’. Proc. 9th European Conf. on Soil Mech. Found. Engrg. (IXECSMFE), International Society of Soil Mechanics and Foundation Engineering, E. T. Hanrahan, T. L. L. Orr, and T. F. Widdis eds., 3, 1087–1146.

    Google Scholar 

  • Alonso, E. E., Gens, A. and Josa, A. (1990) ‘A constitutive model for partially saturated soil’. Geotechnique 40, No. 3 p405–430.

    Google Scholar 

  • Babu, D.K. (1976) ‘Infiltration analysis and pertubation methods 3, Vertical Infiltration’. Water Resour. Res. 12 (5): 1019–1024.

    Google Scholar 

  • Baker, F.G. (1977) ‘Factors influencing the crust test for in-situ measurement of hydraulic conductivity’. Soil Sci. Soc. Am. J., 41:

    Google Scholar 

  • Baker, F.G. (1978) ‘Variability of Hydraulic Conductivity Within and Between Nine Wisconsin Soil Series’. Water Resour. Res., 14 (1): 103–108.

    Google Scholar 

  • Belmans, C., Wesseling, J.G. and Feddes, R.A. (1983) ‘Simulation model of the water balance of a cropped soil’. SWARTE. Inl. Hydrol. 63 (3/4): 271–286.

    Google Scholar 

  • Bell, J.P., (1976). Institute of Hydrology, Wallingford Report No. 19

    Google Scholar 

  • Biddle, P.G. (1983) ‘Patterns of soil drying and moisture deficit in the vicinity of trees on clay soils’. In “The Influence of vegetation on the swelling and shrinkage of clays”. The 4th Symposium in print, Geotechnique 33: 107–126.

    Google Scholar 

  • Blake, G.R., W.W. Nelson, and Allmaras, R.R. (1976) ‘Persistence of Subsoil Compaction in a Mollisol’. Soil Sci. Soc. Am. J. 40: 943–948.

    Google Scholar 

  • Bouma, J., Hillel, D., Hole, F. D. and American, C. R. (1971) ‘Field measurement of unsaturated hydraulic conductivity by infiltration through gypsum crusts.’ Soil Sci. Amer. J. 35: 362–364.

    Google Scholar 

  • Bouma, J. and Denning J.L. (1972) ‘Field Measurement of Unsaturated Hydraulic Conductivity by Infiltration Through Gypsum Crusts’. Soil Sci. Soc. Am. J., 36: 846–847

    Google Scholar 

  • Brandt, A., E. Bresler, N. Diner, I. Ben-Asher, Heller, J. and Goldberg, G. (1971) ‘Infiltration from a trickle source, 1, Mathematical models’. Soil Sci. Soc. Am. Proc. 35 (5), 675–682.

    Google Scholar 

  • Brooks, R.H. and Corey, A.T. (1964) ‘Hydraulic properties of porous media’. Colorado State Univ. Hydrol. Paper No. 3. Fort Collins, Colo.

    Google Scholar 

  • Brooks, R.M. and Corey, A.T. (1966) ‘Properties of porous media affecting fluid flow’. Jnl. Irrig. Drain. Div. ASCE 92 (IR2): 61–88.

    Google Scholar 

  • Bruce, R.R. (1972) ‘Hydraulic Conductivity Evaluation of the Soil Profile from Soil Water Retention Relations’. Soil Sci. Soc. Am. J., 36: 555–561.

    Google Scholar 

  • Bruch, J. C. and Zyvoloski, G. (1973) ‘Solution of the equation for vertical unsaturated flow of soil water.’ Soil Sc. V(116), No. 6, p417–422.

    Google Scholar 

  • Brust, J.K., van Bavel, C.H.M. and Stirk, G.B. (1968) ‘Hydraulic Properties of a Clay Loam Soil and the Field Measurement of Water Uptake by Roots: III. Comparison of Field and Laboratory Data on Retention and of Measured and Calculated Conductivities’. Soil Sci. Soc. Am. J., 32: 322–326.

    Google Scholar 

  • Brutsaert, N. (1968) The permeability of a porous medium determined from certain probability laws for pore size distribution. Water Resour. Res. 4: 425–434.

    Google Scholar 

  • Buckingham, E. (1907) ‘Studies on the movement of soil moisture’. U.S. Dept. Agric. Bureau of Soils, Bulletin, 38, 61 pp.

    Google Scholar 

  • Cameron, D.R. (1978) ‘Variability of Soil Water Retention Curves and Predicted Hydraulic Conductivities on a Small Plot’. Soil Sci. J, 126 (6): 364–371.

    Google Scholar 

  • Campbell, G.S. (1974) ‘A Simple Method for Determining Unsaturated Conductivity from Moisture Retention Data’. Soil Sci. J, 117 (6): 311–314.

    Google Scholar 

  • Carvallo, H.O., Cassel, D.K., Hammond, J., and Bauer, A. (1976) ‘Spatial Variability of In Situ Unsaturated Hydraulic Conductivity of Maddock Sandy Loam’. Soil Sci. J, 121: 1–8.

    Google Scholar 

  • Childs, E.C. and Collis-George, N. (1948) ‘Interaction of water and porous materials’. Soil Geometry and soil water equilibria, Proc. Faraday Soc., 3: 78–85.

    Google Scholar 

  • Childs, E.C. and Collis-George, N. (1950a) ‘The Permeability of Porous Materials’. Proc. Roy. Soc. London, 201A: 392–405.

    Google Scholar 

  • Childs, E.C. and Collis-George, N. (1950b) ‘Movement of moisture in unsaturated soils’. Trans. Inter. Congr. Soil Sci., Amsterdam, Vol I: 1–4.

    Google Scholar 

  • Cooley, R.L. (1971) ‘A finite difference method for unsteady flow in variable saturated porous media: Application to a single pumping well’. Water Resour. Res. 7 (6): 1607–1625.

    Google Scholar 

  • Cooley, R.L. (1983) ‘Some new procedures for numerical solution of variably saturated flow problems’. Water Resour. Res. 19 (5): 1271–1285.

    Google Scholar 

  • Corey, A.T. (1957) ‘Measurement of water and air permeability in unsaturated soils’. Proc. Soil. Sci. Soc. Amer. 21: 7–10.

    Google Scholar 

  • Corey, A.T. and Klute, A. (1985) ‘Application of the potential concept to soil water equilibrium and transport’. Soil Sci. Soc. Am. J. 49: 3–11.

    Google Scholar 

  • Croney, D. and Coleman, J.D. (1954) ‘Soil Structure In Relation To Soil Suction (pF)’. Soil Sci. J 5 (1): 75–84.

    Google Scholar 

  • Croney, D. (1977) ‘The design and performance of road pavements’. Pub. London HMSO pp 647.

    Google Scholar 

  • Cushman, J. H., Kirkham, D. and Kellar, R. F. (1979) ‘A Galerkin in time, linearized finite element model of 2-dimensional unsaturated porous media drainage.’ Soil Sci. Soc. Amer. J. V(43, No. 4, pp 638–641.

    Google Scholar 

  • Dane, J.H. (1980) ‘Comparison of Field and Laboratory determined Hydraulic Conductivity Values’. Soil Sci. Soc. Am. J., 44: 228–231.

    Google Scholar 

  • Dane, J.H. and Hruska, S. (1983) ‘In-Situ Determination of Soil Hydraulic Properties during Drainage’. Soil Sci. Soc. Am. J. 47: 619–624.

    Google Scholar 

  • Darcy, H. (1856) ‘Les fontaines publiques de la ville de Dijon’. V. Dalmont, Paris.

    Google Scholar 

  • Day, R. D. and Luthin, J. N. (1956) ‘A numerical simulation of the differential equation of flow for a vertical drainage problem’. Soil Sci. Soc. Am. Proc. V (20), p 443–447.

    Google Scholar 

  • Douglas, E. and McKyes, E. (1978) ‘Compaction Effects on the Hydraulic Conductivity of a Clay’. Soil. Soil Sci. J, 125: 278–282.

    Google Scholar 

  • Dracos, Th. (1984) ‘Relation of groundwater bodies to infiltration.’ Eos Trans. AGU, 65(16)215.

    Google Scholar 

  • Driscoll, R. (1983) ‘The influence of vegetation on swelling and shrinkage of clay soils in Britain’. In “Thé Influence of vegetation on the swelling and shrinkage of clays”. The 4th Symposium in print, Geotechnique, 33: 93–105.

    Google Scholar 

  • Elrick, D.E. and Bowman, D.H. (1964) ‘Note on an improved apparatus for soil moisture flow measurement’. Soil Sci. Soc. Am. Proc. 28: 450–452.

    Google Scholar 

  • Elzeftawy, A. and Dempsey, B.J. (1978) ‘Unsaturated transient and steady-state flow of moisture in subgrade soil’. Transport Res. Rec. 612: 56–61.

    Google Scholar 

  • Ewen, J. and Thomas, H.R. (1989) ‘Heating unsaturated medium sand’. Geotechnique, 39 (3), 455–470.

    Google Scholar 

  • Francher, G.H., Lewis, J.A. and Barnes, K.B. (1933) ‘Some physical characteristics of oil sands’. Min. Ind. Exp. Sta. Pennsylvania State Coll. Bul., No. 12.

    Google Scholar 

  • Fredlund, D.G. and Morgenstern, N.R. (1977) ‘Stress state variables for unsaturated soils’. ASCE J. Div. GT. 103: 447–465.

    Google Scholar 

  • Fredlund, D. G. and Rahardjo, H. (1993) ‘Soil Mechanics for Unsaturated Soils’. Pub. J. Wiley & Sons. ISBN 0–471–85008–X

    Google Scholar 

  • Fredlund, D. G., Xing, A., and Huang, S. (1994) “Predicting the permeability function for unsaturated soils using soil-water characteristic curves.” Canadian Geotechnical Journal, 31: 533–546.

    Google Scholar 

  • Freeze, R.S. (1971) ‘Three-dimensional transient saturated-unsaturated flow in a groundwater basin’ Water Resour. Res. 7 (2): 347–366.

    Google Scholar 

  • Gardner, W.R. (1956) ‘Calculation of Capillary Conductivity from Pressure Plate Outflow Data’. Soil Sci. Soc. Am. J., 20: 314–320.

    Google Scholar 

  • Gardner, W.R., and Fireman, M. (1958) ‘Evaporation from Soil Columns in the Presence of a Water Table’. Soil Sci. Soc. Am. J., 85: 244–249.

    Google Scholar 

  • Gardner, W.R., and Miklich, F.J. (1961) ‘Unsaturated Conductivity and Diffusivity Measurements by a Constant Flux Method’. Soil Sci. J, 93: 271–274.

    Google Scholar 

  • Giesel, W., Renger, M. and Strebel, O. (1973) ‘Numerical treatment of the unsaturated water flow equation; comparison of experimental and computer results.’ Water Resources Research, 9 (1), 174–177.

    Google Scholar 

  • Green, R.E., Hanks, R.J. and Larson, W.E. (1964) ‘Estimates of field infiltration by numerical solution of the moisture flow equation’. Soil Sci. Soc. Am. Proc. 28: 15–19.

    Google Scholar 

  • Green, R.E. and Corey, J.C. (1971) ‘Calculation of Hydraulic Conductivity: A Further Evaluation of Some Predictive Methods’. Soil Sci. Soc. Am. J., 35: 3–8.

    Google Scholar 

  • Green, W.H. and Ampt, G.A. (1911) ‘Studies on soil physics. 1–The flow of air and water through soils’. J. Agric. Sci. 4: 1–24.

    Google Scholar 

  • Gutpa, S.C. and Larson, W.E. (1979) ‘Estimating soil water retention characteristics from particle size distribution, organic matter percent and bulk density’. Water Resour. Res. 15: 1633–1635.

    Google Scholar 

  • Hall, D.G.M, Reeve, M.J., Thomasson, A.J. and Wright, V.F. (1977) ‘Water retention, porosity and density of field soils’. Soil Survey of England and Wales, Technical monograph No 19.

    Google Scholar 

  • Hall, D.G.M. and Jones, R.J.A. (1983) ‘Soil moisture changes under grassland as measured by neutron probe in Midland England’. J. Agric. Sci., Cambridge, 101: 481–493.

    Google Scholar 

  • Hanks, R.J. and Bowers, S.A. (1962) ‘Numerical solution of the moisture flow equation for infiltration into layered sois’. Soil Sci. Soc. Am. Proc. 26 (6): 530–534.

    Google Scholar 

  • Haverkamp. R., Vauclin, M., Touma, J., Wierenga, P.J. and Vachaud, G. (1977) ‘A comparison of numerical simulation models for one-dimensional infiltration’. Soil Sci. Soc. Amer. J. Vol. 41, No. 2: 285–294.

    Google Scholar 

  • Hillel, D.I. and Gardner, W.R. (1970) ‘Measurement of unsaturated conductivity and diffusivity by infiltration through an impeding layer’. Soil Sci. 109: 149–153.

    Google Scholar 

  • Hillel, D. and Gardner, W.R. (1970) ‘Transient infiltration into crust-topped profiles’. Soil Sci. 109: 410–416.

    Google Scholar 

  • Holtz, W.G. (1983) The influence of vegetation on the swelling and shrinking clays in the United States of America’. In “The Influence of vegetation on the swelling and shrinkage of clays”. The 4th Symposium in print, Geotechnique, 33: 159–163.

    Google Scholar 

  • Hromadka, T. V., Guymon, G. L. and Pardoen, G. C. (1981) ‘Nodal domain integration model of unsaturated two-dimensional flow: development.’ J. Water Resources Research, 17 (5): 1425–1430.

    Google Scholar 

  • Huyakorn, P.S., Thomas, S.D. and Thompson, B.M. (1984) ‘Techniques for making finite elements competitive in modeling flow in variably saturated porous media’. Water Resour. Res. 20 (8): 1099–1115.

    Google Scholar 

  • Irmay, S. (1954) ‘On the Hydraulic conductivity of unsaturated soils’. Trans. Amer. Geophys, Union, 35: 463–468.

    Google Scholar 

  • Jackson, R.D., R.J. Reginato, and van Bavel C.H.M. (1965) ‘Comparison of Measured and Calculated Hydraulic Conductivities of Unsaturated Soils’. Water Resour. Res. 1 (3): 375–380.

    Google Scholar 

  • King, L.G. (1964) ‘Imbition of fluids by porous solids’. Unpublished Ph. D. Diss. Colorado State Univ., Ft. Collins.

    Google Scholar 

  • King, L.G. (1965) ‘Description of Soil characteristics for Partially Saturated Flow’. Soil Sci. Soc. Am. J., 29: 359–362.

    Google Scholar 

  • Kirkham, D. and Powers, W.L. (1972) ‘Advanced soil physics’. Wiley, New York.

    Google Scholar 

  • Klute, A. (1952) ‘A numerical method for solving the flow equation for water in unsaturated materials’. Soil Sci. 73: 105–116.

    Google Scholar 

  • Klute, A. (1965) ‘Laboratory measurement of hydraulic conductivity of saturated soil’. In C.A Black et al (ed.) Methods of soil analysis, Part 1. Agronomy 9: 210–221 Am. Soc. of Agron., Madison, Wis.

    Google Scholar 

  • Kool, J.B., J.C. Parker, and van Genuchten, M. TH (1985) ‘Determining Soil Hydraulic Properties from One-step Outflow Experiments by Parameter Estimation: L Theory and Numerical Studies’. Soil Sci. Soc. Am. J., 49:1348–1354:

    Google Scholar 

  • Krahn, J. and Fredlund, D.G. (1972) ‘On Total, Matric and Osmotic Suction’. Soil Sci. J, 114 (5): 339–348.

    Google Scholar 

  • Kunze, R.J. and Kirkham, D. (1962) ‘Simplified accounting for membrane impedance in capillary conductivity determinations’. Soil Sci. Soc. Amer. Proc. 26: 421–426.

    Google Scholar 

  • Kunze, R.J., Uehara, G. and Graham, K. (1968) ‘Factors important in the calculation of hydraulic conductivity’. Proc. Soil Sci. Soc. Amer. 32: 760–765.

    Google Scholar 

  • Lam, L. and Fredlund, D.G. (1984) ‘Saturated-unsaturated transient finite element seeage model for geotechnical engineering’. Adv. Water Resources 7: 132–136.

    Google Scholar 

  • Luxmoore, R.J., T. Grizzard, and Patterson, M.R. (1981) ‘Hydraulic Properties of Fullerton Cherty Silt Loam’. Soil Sci. Soc. Am. J., 45: 692–698

    Google Scholar 

  • Marshall, T.J. (1958) ‘A Relation Between Permeability and Size Distribution of Pores’. Soil Sci. J, 9 (1): 1–8.

    Google Scholar 

  • Miles, J.C., Thomas, H.R. and Abrishami, J. (1988) ‘The effect of small density changes on the movement of water through an unsaturated soil’. J. Hydrology, 104: 93–110.

    Google Scholar 

  • Miller, R.J., Biggar, J.W. and Nielsen, D.R. (1965) ‘Chloride displacement in Panoche clay loam in relation to water movement and distribution’. Water Resources Research 1: 63–73.

    Google Scholar 

  • Millington, R.J. and Quirk, J.P. (1959) ‘Permeability of Porous Media’. Nature, 183: 387–388.

    Google Scholar 

  • Millington, R.J. and Quirk, J.P. (1960) ‘Transport in porous media’. Int. Cong. Soil Sci., Trans. 7th ( Madison, Wis. ) 13: 97–106.

    Google Scholar 

  • Millington, R.J. and Quirk, J.P. (1961) ‘Permeability of porous solids’. Trans. Faraday Soc. 57: 1200–1207.

    Google Scholar 

  • Milly, P.C.D. (1987) ‘Advances in modelling of water in the unsaturated zone’. NATO Adv. Res. Work on Advances in Analytical and Numerical Groundwater Flow and Quality Modelling. Lisbon.

    Google Scholar 

  • Mitchell, J. K. (1976) ‘Fundamentals of Soil Behaviour.’ Wiley and Sons, N. Y. 442 p.

    Google Scholar 

  • Mualem, Y. and Dagan, G. (1972) ‘Hysteresis in unsaturated porous media: a critical review and a new simplified approach’. Technion (Israel Inst. Technol.) Second annual report, Part I V.

    Google Scholar 

  • Mualem, Y. (1973) ‘Modified approach to capillary hysteresis based on a similarity hypothesis’. Water Resour. Res., 9 (5): 1321–1331.

    Google Scholar 

  • Mualem, Y. (1974) ‘A conceptual model of hysteresis’. Water Resour. Res., 10 (3): 514–520.

    Google Scholar 

  • Mualem, Y. (1975) ‘A dependent domain model of capillary hysteresis’. Water Resour. Res., 11 (3): 452–460.

    Google Scholar 

  • Mualem, Y. (1976) ‘Hysteretical models for prediction of the hydraulic conductivity of unsaturated porous media’. Water Resour. Res., 12 (6): 1248–1254.

    Google Scholar 

  • Mualem, Y. (1978) ‘Hydraulic Conductivity of Unsaturated Porous Media: Generalized Macroscopic Approach’. Water Resour. Res., 14 (2): 325–334.

    Google Scholar 

  • Nakano, M., Y. Amemiya, and Fujii, K. (1986) ‘Saturated and Unsaturated Hydraulic Conductivity of Swelling Clays’. Soil Sci. J, 141 (1): 1–6.

    Google Scholar 

  • Neuman, S.P. (1973) ‘Saturated–Unsaturated seepage by finite elements’. J. Hydraul. Eng. 99 (HY12): 2233–2251.

    Google Scholar 

  • Nielsen, D.R., Kirkham, D. and Perrier, E.R. (1960) ‘Soil Capillary Conductivity: Comparison of Measured and Calculated Values’. Soil Sci. Soc. Am. J., 24: 157–160.

    Google Scholar 

  • Nielsen, D.R., Kirkham, D. and van Wijk, W.R. (1961) ‘Diffusion equation calculations of field soil water infiltration profiles’. Soil Sci. Soc. Am. Proc. 25: 165–168.

    Google Scholar 

  • Nielsen, D.R., Davidson, J.M., Biggar, J.W. and Miller, R.J. (1964) ‘Water movement through Panoche clay loam soil’. Hilgardia, 35: 491–506.

    Google Scholar 

  • Nielsen, D.R., Biggar, J.W. and Corey, J.C. (1972) ‘Application of flow theory to field situations’. Soil Sci. J 113 (4): 254–263.

    Google Scholar 

  • Nielsen, D.R., Genuchten, M. Th. Van and Biggar, J.W. (1986) ‘Water flow and solute transport processes in the unsaturated zone’. Water Resour. Res. 22(9):89S -108S.

    Google Scholar 

  • Owen, R. C. (1984) ‘Vegetation and seasonal ground movement effects on buried mains’, Proc. 3rd Int. Conf. on Ground Movement and Structures, Cardiff. Pentech Press, UK, p145–160.

    Google Scholar 

  • Ortiz, N.V., Duke, H.R., Sunada, D.K. and Whorter, D.B. (1978) ‘Artificial ground-water recharge with capillarity’. Jnl. Irrig. Drain. Div. ASCE. 104 (IR1): 79–93.

    Google Scholar 

  • Papagianakis, A.T. and Fredlund, D.G. (1984) ‘A steady state model for flow in saturated-unsaturated soils’. Can. Geotch. Jnl. 21: 419–430.

    Google Scholar 

  • Parker, J.C., J.B. Kool, and van Genuchten, M. TH. (1985) ‘Determining Soil Hydraulic Properties from One-step Outflow Experiments by Parameter Estimation: II. Experimental Studies’. Soil Sci. Soc. Am. J., 49: 1354–1359.

    Google Scholar 

  • Parlange, J.Y. (1971) ‘Theory of water-movement in soils: 2. One-dimensional infiltration’. Soil Sci. 111: 170–174.

    Google Scholar 

  • Parlange, J.Y. (1971) ‘Theory of water-movement in soils: 8. One-dimensional infiltration with constant flux at the surface’. Soil Sci. 114: 1–4.

    Google Scholar 

  • Philip, J.R. (1957) ‘The theory of infiltration, 1. The infiltration equation and its solution’. Soil Sci. 83: 345–357.

    Google Scholar 

  • Pickens, J. F. and Gillham, R. W. (1980) ‘Finite element analysis of solute transport under hysteretic unsaturated flow conditions.’ Water Res. Research V(16), No. 6, p1071–1078.

    Google Scholar 

  • Raats, P.A.C. (1976) ‘Analytical solutions for a simplified flow equations’. Trans. Am. Soc. Agric. Eng. 19: 683–689.

    Google Scholar 

  • Ravina, I. (1983) ‘The influence of vegetation on moisture and volume changes’. In “The Influence of vegetation on the swelling and shrinkage of clays”. The 4th Symposium in print, Geotechnique, 33: 151–157.

    Google Scholar 

  • Rawitz, E. (1965) The influence of a number of environmental factors on the availability of soil moisture to plants (in Hebrew)’. Ph.D. Thesis, Hebrew Univ., Rehovot, Israel.

    Google Scholar 

  • Rees, S.W. and Thomas H.R. (1993). “A method of simulating seasonal ground movement in an unsaturated clay soil”. J. Geotechnical Engng., ASCE, Vol. 119, No. 7, 1127–1143.

    Google Scholar 

  • Reeves, M. and Duguid, J.O. (1975) ‘Water movement through saturated-unsaturated porous media: A finite element Galerkin model’. Rep. ORNL-4927, Oak Ridge Nat. Lab., Oak Ridge, Tenn.

    Google Scholar 

  • Reicosky, D.C., W.B. Voorhees, and Radke, J.K. (1981) ‘Unsaturated Water Flow Through a Simulated Wheel Track’. Soil Sci. Soc. Am. J., 45: 3–8.

    Google Scholar 

  • Richards, B.G. (1965) ‘Determination of Unsaturated Permeability and Diffusivity Functions from Pressure Plate Outflow Data with Non-Negligible Membrane Impedance’. In Moisture Equilibria and Moisture Changes in Soils Beneath Covered Areas. A Symposium in Print., G.D. Aitchison (ed. ), Butterworths (Australia) (Pub. )

    Google Scholar 

  • Richards, B. G. and Chan, C. Y. (1969) ‘Prediction of pore pressures in earth dams’. Proc. 7th ICSMFE. 2:355–362, Mexico.

    Google Scholar 

  • Richards, L.A. (1931) ‘Capillary conduction of liquids through porous medium’. Physics. 1: 318–333

    MATH  Google Scholar 

  • Ridley, A. M. and Burland, J. B. (1995) “A pore pressure probe for in-situ measurement of soil moisture suction.” Geotechnique, 43: 321–324.

    Google Scholar 

  • Rogowski, A.S. (1972) ‘Estimation of the Soil Moisture Characteristic and Hydraulic Conductivity: Comparisbn of Models’. Soil Sci. J, 114 (6): 423–429.

    Google Scholar 

  • Rogowski, A.S. (1972) Watershed physics: soil variability criteria’. Water Resour. Res. 8: 1015–1023.

    Google Scholar 

  • Rubin, J. (1968) ‘Theoretical analysis of two-dimensional, transient flow of water in unsaturated and partly saturated soils’. Soils Sci. Soc. Am. Proc. 32 (5): 607–615.

    Google Scholar 

  • Rubin, J. and Steinhardt, R. (1963) ‘Soil water relations during rain infiltration 1, Theory’. Soil Sci. Soc. Am. Proc. 27 (3): 246–251

    Google Scholar 

  • Russo, D. and Bresler, E. (1980) ‘Field Determinations of Soil Hydraulic Properties for Statistical Analyses’. Soil Sci. Soc. Am. J., 44: 697–702.

    Google Scholar 

  • Russo, D. and Bresler, E. (1980) ‘Scaling soil hydraulic properties of a hetergeneous field’. Soil Sci. Soc. Amer. J. Vol. 44: 681–684.

    Google Scholar 

  • Schofield, R.K. (1935) ‘The pF of the water in soil’. Trans. 3rd Int. Cong. Soil Sci. 2: 37–48.

    Google Scholar 

  • Schreiner, M.D. (1987) ‘State of the Art review of expansive soils for TRRL’. Imperial College, London.

    Google Scholar 

  • Scott, R. F. (1963) ‘Principles of Soil Mechanics’. Massachussetts: Addison-Wesley.

    MATH  Google Scholar 

  • Scott Russell, R., (1975). ‘Plant root systems - Their function and interaction with the soil’. McGraw-Hill, U.K.

    Google Scholar 

  • Shainberg, I., Rhodes, J. D., Suarez, D. L. and Prather, R. J. (1981) “Effect of mineral weathering on clay dispersion and hydraulic conductivity”. Soil Sci. Soc. Aus. Jnl. 45 (2): 287–291.

    Google Scholar 

  • Skaggs, R.W. and Tang, Y.K. (1976) ‘Saturated and unsaturated flow to parallel drains’. Jnl. Irrig. Drain Div. ASCE 102 (IR2): 221–238.

    Google Scholar 

  • Smiles, D.E., Barnes, C.J. and Gardner, W.R. (1985) ‘Water relations of saturated bentontite: Some effects of temperature and solution salt concentration’. Soil Sci. Sco. Am. Jnl. 47 (1): 3–8.

    Google Scholar 

  • Sposito, G. (1986) ‘The “Physics” of soil water Physics 13’. Water Resour. Res. 22 (9): 83S - 88S.

    Google Scholar 

  • Staple, W.J. and Lehane, J.J. (1954) ‘Movement of Moisture in Unsaturated Soils’. Can. J. of Agri. Sci., 34 (4): 329–342.

    Google Scholar 

  • Staple, W.J. (1965) ‘Moisture retention, diffusivity and drying’. Can. J. Soil Sci. 45: 78–85.

    Google Scholar 

  • Swatzendruber, D (1968) ‘The applicability of Darcÿ s Law’. Proc. SSSA, 32: 11–18.

    Google Scholar 

  • Tani, M. (1985) The effects of soil physical properties in the groundwater-table rise’. Int. Symp. on Erosion, Debris Flow and Dis. Prev.:361–365, Tsukuba.

    Google Scholar 

  • Tavenas, F., Jean, P., Lebland, P. and Leroueil, S. (1983) ‘The permeability of natural soft clays. Part II: permeability characteristics’. Can. Geotech. Jnl. 20 (4): 645–660.

    Google Scholar 

  • Thomas, H.R. and King, S.D. (1993) The recharge of a backfilled excavation: An examination of field behaviour’ 43 (2), 325–329

    Google Scholar 

  • Thomas, H. R. and He, Y., (1998) “Modelling behaviour of unsaturated soil using an elastoplastic constitutive model.” Geotechnique, 48: 589–603.

    Google Scholar 

  • Thomas, H. R. and Li, C. L. W. (1997) “An assessment of a model of heat and moisture transfer in unsaturated soil”. Geotechnique, 47 (1), 113–131.

    Google Scholar 

  • Thomas, H.R. and Rees, S.W. (1990). ‘Modelling Field Infiltration into Unsaturated Clay.’ J. Geotechnical Engng., ASCE, Vol. 116, No. 10.

    Google Scholar 

  • Thomas, H.R. and Rees, S.W. (1993). “The numerical simulation of seasonal soil drying in an unsaturated clay.” hit. J. for Numerical and Analytical Methods in Geomechanics, Vol. 17 No. 2, 119–132.

    Google Scholar 

  • Thomas, H. R. and Rees, S. W. (1994) “Seasonal ground movement in unsaturated clay: an examination of field behaviour.” Geotechnique, 44 (2), 353–358.

    Google Scholar 

  • Thomas, H. R., Rees, S. W., Kjartanson, B. H., Wan, A. W. L. and Chandler, N. A., (1996) “Modelling in-situ water uptake in a bentonite–sand barrier”. Geological Society Engineering Geology Special Publication, 215–222.

    Google Scholar 

  • Thompson, N., Barrie, I.A. and Ayles, M. (1981) ‘The Meteorological Office Rainfall and Evaporation Calculation System: MORECS’. Hydrological Memorandum No. 45, Pub. Meteorological Office, London Rd, Bracknell, Berks, UK.

    Google Scholar 

  • Topp, G.C. (1969) ‘Soil-water hysteresis measured in a sandy loam and compared with a hysteretic domain model’. Soil Sci. Soc. Am. Proc. 33: 645–651.

    Google Scholar 

  • Totoev, Y. Z. and Kleeman, P. W. (1998) “An infiltration model to predict suction changes in the soil profile.” Water Res. Research, 34: 1617–1622.

    Google Scholar 

  • UNSAT ‘85, Proceedings of the 1s International Conference on Unsaturated Soils, Paris, France 6–861 Sept. 1995 Pub. Balkema ISBN 2–85978–241–9 (3 Volumes).

    Google Scholar 

  • van Genuchten, M. TH. (1980) ‘A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils’. Soil Sci. Soc. Am. J., 44: 892–898.

    Google Scholar 

  • Vauclin, M., Khanji, D. and Vachaud, G. (1979) ‘Experimental and numerical study of a transient two-dimensional unsaturated-saturated water table recharge problem’. Water Re-sour. Res. Vol. 15, No. 5: 1089–1101.

    Google Scholar 

  • Vauclin, M., Haverkamp, R. and Vachaud, G. (1979) ‘Résolution Numérique d’une équation de diffusion non linéaire. Application à l’infiltration de l’eau dans les sols non saturés’. Presses Universitaires de Grenoble.

    Google Scholar 

  • Vauclin, M., Vachaud, G. and Imbernon, J. (1991) ‘Spatial variability of some soil physical properties over one-hectare field plot’. Communication at the AGU Chapman Conference Fort-Coffins (Colo).

    Google Scholar 

  • Vauclin, M. (1982) ‘Infiltration in unsaturated soils’. Proceedings NATO, ASI, on Mechanics of Fluids in Porous Media, University of Delaware, USA.

    Google Scholar 

  • Ward, R.C. (1975) ‘Principles of Hydrology’. 2nd Ed., Pub. McGraw-Hill, U.K

    Google Scholar 

  • Warrick, A.W. (1974) ‘Solution to the one-dimensional linear moisture flow equation with water extraction’. Soil Sci. Soc. Ant. J. 38 (4): 573–576.

    Google Scholar 

  • Warrick, A.W. (1974) ‘Time-dependent linearized infiltration. I. point sources’. Soil Sci. Soc. Amer. Proc. 38: 383–387.

    Google Scholar 

  • Watson, KK (1966) ‘An Instantaneous Profile Method for Determining the Hydraulic Conductivity of Unsaturated porous Materials’. Water Resour. Res., 2 (4): 709–715.

    Google Scholar 

  • Williams, A.A.B. and Pidgeon, J.T. (1983) ‘Evapotranspiration and heaving clays in South Africa’. In “The Influence of vegetation on the swelling and shrinkage of clays”. The 4th Symposium in print, Geotechnique 33:141–150.

    Google Scholar 

  • Yong, R.N. and Warkentin, B.P. (1974) ‘Soil properties and behaviour’. Elsevier Publishing Company, Amsterdam.

    Google Scholar 

  • Yong, R.N. and Warkentin, B.P. (1992) ‘Principles of Contaminant Transport in Soils’. Elsevier Science Publishers. The Netherlands.

    Google Scholar 

  • Youngs, E.G. (1957) ‘Moisture profiles during vertical infiltration’. Soil Sci. 84: 283–290.

    Google Scholar 

  • Zienkiewicz, O.C. and Parekh, C.J. (1970) ‘Transient field problems: Two dimensional anlaysis by isoparametric elements’. Int. J. Num. Meth. Eng. 2: 61–71.

    MATH  Google Scholar 

  • Zienkiewicz, O.C. and Taylor, R. L. (1989) ‘The Finite Element Method’ Vol ( 1 ) Fourth Ed., McGraw-Hill Book Company, London, UK.

    Google Scholar 

  • Zyvoloski, G., Bruch, J.C. and Sloss, J.M. (1976) ‘Solution of the equation for two-dimensional infiltration problems.’ Soil Sci. V (122). p65–70.

    Google Scholar 

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Thomas, H.R., Rees, S.W. (2001). Isothermal Flow. In: Schrefler, B.A. (eds) Environmental Geomechanics. International Centre for Mechanical Sciences, vol 417. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2592-2_2

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