'SAMP' model for water and solute movement in unsaturated porous media involving thermodynamic subsystems and moving packets: 1. Theory

Journal of Hydrology

Volumn 182, Issue 1-4, 1996, Pages 175-194

  Ewen, John ^a  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; HYDRAULIC CONDUCTIVITY; POROUS MATERIALS; THERMODYNAMICS; UNSATURATED COMPOUNDS;

SOLUTE MOVEMENT; SUBSYSTEMS AND MOVING PACKETS (SAMP) MODEL;

GROUNDWATER FLOW;

MODELS; SOLUTE TRANSPORT;

POROUS MEDIUM; SAMP MODEL; SOLUTE TRANSPORT; UNSATURATED MEDIUM;

EID: 0030183251     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-1694(95)02925-7     Document Type: Article

References (22)

1. Addiscott, T.M. and Wagenet, R.J., 1985. Concepts of solute leaching in soils: A review of modelling approaches. J. Soil Sci., 36: 411-424.
2. Bear, J., 1972. Dynamics of Fluids in Porous Media. Elsevier, New York.
3. Beven, K. and Germann, P.F., 1982. Macropores and water flow in soils. Water Resour. Res., 18: 1311-1325.
4. Buckingham, E., 1907. Studies on the movement of soil moisture. USDA Bur. Soils Bull. No. 38, USDA Washington, 61 pp.
5. Coats, K.H. and Smith, B.D., 1964. Dead-end pore volume and dispersion in porous media. Soc. Pet. Eng. J., 4: 73-84.
6. Darcy, H., 1856. Les Fontaines Publiques de la Ville de Dijon. Dalmont, Paris.
7. Deans, H.A., 1963. A mathematical model for dispersion in the direction of flow in porous media. Trans. AIME, 228: 49-52.
8. Edlefsen, N.E. and Anderson, A.B.C., 1943. Thermodynamics of soil moisture. Hilgardia, 15: 31-298.
9. Ewen, J., 1996. 'SAMP' model for water and solute movement in unsaturated porous media involving thermodynamic subsystems and moving packets: 2. Design and application. J. Hydrol., 182: 195-207.
10. Fried, J.J. and Combarnous, M.A., 1971. Dispersion in porous media. Adv. Hydrosci., 7: 169-282.
11. Gerke, H.H. and van Genuchten, M.Th., 1993. A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media. Water Resour. Res., 29: 305-319.
12. Guggenheim, E.A., 1967. Thermodynamics. 5th edn., North-Holland Publishing Company, Amsterdam, 390 pp.
13. Haines, W.B., 1930. Studies in the physical properties of soil. V. The hysteresis effect in capillary properties, and the modes of moisture distribution associated therewith. J. Ag. Sci., 20: 97-116.
14. Kasten, P.R., Lapidus, L. and Amundson, N.R., 1952. Mathematics of adsorption in beds. V. Effect of intraparticle diffusion in flow systems in fixed beds. J. Phys. Chem., 56: 683-688.
15. Klute, A., 1952. A numerical method for solving the flow equation for water in unsaturated materials. Soil Sci., 73: 105-116.
16. Mualem, Y., 1973. Modified approach to capillary hysteresis based on a similarity hypothesis. Water Resour. Res., 9: 1324-1331.
17. Nielsen, D.R. and Biggar, J.W., 1961. Miscible displacement in soils: 1. Experimental information. Soil Sci. Soc. Am. Proc., 25: 1-5.
18. OED, 1973. The Shorter Oxford English Dictionary. Clarendon Press, Oxford, 2672 pp.
19. Poulovassilis, A., 1962. Hysteresis of pore water, an application of the concept of independent domains. Soil Sci., 109: 405-412.
20. Richards, L.A., 1931. Capillary conduction of liquids through porous mediums. Physics, 1: 318-333.
21. van Genuchten, M.Th. and Wierenga, P.J., 1976. Mass transfer studies in sorbing porous media. 1. Analytical solutions. Soil Sci. Soc. Am. J., 40: 473-480.
22. Yeh, G.T. and Luxmoore, R.J., 1982. Chemical transport in macropore-mesopore media under partially saturated conditions. In: E.M. Arnold, G.W. Gee and R.W. Nelson (Editors), Proceedings of Symposium on Unsaturated Flow and Transport Modeling. Pacific Northwest Laboratory, Richland, Washington, USA, pp. 267-281.