Infiltration in a double-porosity medium: Experiments and comparison with a theoretical model

Water Resources Research

Volumn 41, Issue 2, 2005, Pages 1-14

  Lewandowska, Jolanta ^a   Szymkiewicz, Adam ^b   Gorczewska, Wioletta ^b   Vauclin, Michel ^a  

^a LABORATOIRE DE GLACIOLOGIE ET GÉOPHYSIQUE DE L ENVIRONNEMENT   (France)

^b INSTITUTE OF HYDRO ENGINEERING   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; FLOW OF FLUIDS; HYDRAULICS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; POROSITY; POROUS MATERIALS;

ASYMPTOTIC HOMOGENIZATION; CAPILLARY CAPACITY; DOUBLE-POROSITY MEDIUMS; UNSATURATED FLOWS;

INFILTRATION;

HYDRAULIC CONDUCTIVITY; INFILTRATION; POROSITY; SOIL WATER; UNSATURATED FLOW;

EID: 15444376106     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2004WR003504     Document Type: Article

References (50)

1. Arbogast, T., J. Douglas Jr., and U. Hornung (1990), Derivation of the double porosity model of single phase flow via homogenization theory, SIAM J. Math. Anal., 21, 823-836.
2. Auriault, J.-L. (1991), Heterogeneous medium: Is an equivalent macroscopic description possible?, Int. J. Eng. Sci., 29(7), 785-795.
3. Barenblatt, G. I., I. P. Zheltov, and I. N. Kochina (1960), Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, J. Appl. Math., 24(5), 1286-1303.
4. Barker, J. A. (1985), Block-geometry functions characterizing transport in densely fissured media, J. Hydrol., 77, 263-279.
5. Bear, J. (1972), Dynamics of Fluids in Porous Media, Elsevier, New York.
6. Bensoussan, A., J.-L. Lions, and G. Papanicolaou (1978), Asymptotic Analysis for Periodic Structures, Elsevier, New York.
7. Celia, M. A., E. T. Bouloutas, and R. L. Zarba (1990), A general massconservative numerical solution for the unsaturated flow equation, Water Resour. Res., 26(7), 1483-1496.
8. Chen, C., and R. J. Wagenet (1992), Simulation of water and chemicals in macropore soils. part 1: Representation of the equivalent macropore influence and its effect on soil water flow, J. Hydrol., 130, 105-126.
9. Clothier, B. E., L. Heng, G. N. Magesan, and I. Vogeler (1995), The measured mobile-water content of an unsaturated soil as a function of hydraulic regime, Aust. J. Soil Res., 33, 397-414.
10. COMSOL Group (2002), FEMLAB users manual, version 2.3.01.148, Burlington, Mass.
11. Douglas, J., M. Peszyńska, and R. Showalter (1997), Single phase flow in partially fissured media, Transp. Porous Media, 278, 285-306.
12. Dykhuizen, R. C. (1990), A new coupling term for dual-porosity models, Water Resour. Res., 26(2), 351-356.
13. Flavigny, E., J. Desrues, and B. Palayer (1990), Le sable d'Hostun "RF": Note technique, Rev. Fr. Geotech., 53, 67-69.
14. Gerke, H. H., and J. M. Köhne (2004), Dual-permeability modeling of preferential bromide leaching from a tile-drained glacial till agricultural field, J. Hydrol., 289, 239-257.
15. Gerke, H. H., and M. T. van Genuchten (1993a), A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media, Water Resour. Res., 29(2), 305-319.
16. Gerke, H. H., and M. T. van Genuchten (1993b), Evaluation of a first-order water transfer term for variably saturated dual-porosity flow models, Water Resour. Res., 29(4), 1225-1238.
17. Gerke, H. H., and M. T. van Genuchten (1996), Macroscopic representation of structural geometry for simulating water and solute movement in dual-porosity media, Adv. Water Resour., 19(6), 343-357.
18. Germann, P. F., and K. Beven (1985), Kinematic wave approximation to infiltration into soils with sorbing macropores, Water Resour. Res., 21(7), 990-996.
19. Hall, C., and W. D. Hoff (2003), Transport in Brick, Stone and Concrete, Taylor and Francis, Philadelphia, Pa.
20. Hornung, U. (1991), Homogenization of miscible displacement in unsaturated aggregated soils, in Composite Media and Homogenization Theory, Prog. Nonlinear Differ. Equations Their Appl., vol. 5, edited by G. dal Maso and F. Dell'Antonio, pp. 143-153, Springer, New York.
21. Jarvis, N. J. (1994), The MACRO model ver. 3.1: Technical description and sample simulations, Rep. Diss. 19, 51 pp., Dep. of Soil Sci., Swed. Univ. of Agric. Sci., Uppsala.
22. Jarvis, N. J. (1998), Modeling the impact of preferential flow on nonpoint source pollution, in Physical Nonequilibrium in Soils: Modeling and Application, edited by H. M. Selim and L. Ma, pp. 195-221, CRC Press, Boca Raton, Fla.
23. Jaynes, D. B., S. D. Logsdon, and R. Horton (1995), Field method for measuring mobile/immobile water content and solute transfer rate coefficient, Soil Sci. Soc. Am. J., 59, 352-356.
24. Kätterer, T., B. Schmied, K. C. Abbaspour, and R. Schulin (2001), Single and dual-porosity modeling of multiple tracer transport through soil columns: Effects of initial moisture and mode of application, Eur. J. Soil Sci., 52, 25-36.
25. Köhne, J. M., H. H. Gerke, and S. Köhne (2002a), Effective diffusion coefficients of soil aggregates with surface skins, Soil Sci. Soc. Am. J., 66(5), 1430-1438.
26. Köhne, J. M., S. Köhne, and H. H. Gerke (2002b), Estimating the hydraulic functions of dual-permeability models from bulk soil data, Water Resour. Res., 38(7), 1121, doi:10.1029/2001WR000492.
27. Larsson, M. H., and N. J. Jarvis (1999), Evaluation of a dual-porosity model to predict field-scale solute transport in a macroporous soil, J. Hydrol., 215, 153-171.
28. Lewandowska, J., and J.-L. Auriault (2003), Modeling of unsaturated flow in soils with highly permeable inclusions, C. R. Acad. Sci., Ser. IIB Mec., 332, 91-96.
29. Lewandowska, J., and J.-P. Laurent (2001), Homogenization modeling and parametric study of moisture transfer in an unsaturated heterogeneous porous medium, Transp. Porous Media, 45, 321-345.
30. Lewandowska, J., A. Szymkiewicz, K. Burzyński, and M. Vauclin (2004), Modeling of unsaturated water flow in double porosity soils by the homogenization approach, Adv. Water Resour., 27(3), 283-296.
31. Logsdon, S. D. (2002), Determination of preferential flow model parameters, Soil Sci. Soc. Am. J., 66, 1095-1103.
32. Ludwig, R., H. H. Gerke, and O. Wendroth (1999), Describing water flow in macroporous field soils using the modified macro model, J. Hydrol., 215, 135-152.
33. Marquardt, D. W. (1963), An algorithm for least-squares estimation of nonlinear parameters, SIAM J. Appl. Math., 11, 431-441.
34. Mualem, Y. (1976), A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour. Res., 12(3), 513-522.
35. Quintard, M., and S. Whitaker (1995), Transport in chemically and mechanically heterogeneous porous media. I: Theoretical development of region averaged equations for slightly compressible single phase flow, Adv. Water Resour., 19(1), 29-47.
36. Richards, L. A. (1931), Capillary conduction of liquids through porous medium. Physics, 1, 318-333.
37. Sanchez-Palencia, E. (1980), Non-homogeneous Media and Vibration Theory, Lect. Note Phys., vol. 127, Springer, New York.
38. Saxena, R. K., N. J. Jarvis, and L. Bergström (1994), Interpreting non-steady state tracer breakthrough experiments in sand and clay soils using a dual porosity model, J. Hydrol., 162, 279-298.
39. Schwartz, R. C., A. S. R. Juo, and K. J. McInnes (2000), Estimating parameters for a dual-porosity model to describe non-equilibrium, reactive transport in a fme-textured soil, J. Hydrol., 229, 146-167.
40. Šimůnek, J., M. Šejna, and M. T. van Genuchten (1998), HYDRUS 1D software package for simulating the one-dimensional movement of water heat and multiple solutes in variably saturated media, version 2.0, Int. Ground Water Model. Cent., Colo. Sch. of Mines., Golden.
41. Šimůnek, J., O. Wendroth, N. Wypler, and M. T. van Genuchten (2001), Non-equilibrium water flow characterized by means of upward infiltration experiments, Eur. J. Soil Sci., 52, 13-24.
42. Šimůnek, J., N. J. Jarvis, M. T. van Genuchten, and A. Gärdenäs (2003), Review and comparison of models for describing non-equilibrium and preferential flow and transport in the vadose zone, J. Hydrol., 272, 14-35.
43. Touma, J., and M. Vauclin (1986), Experimental and numerical analysis of two phase infiltration in a partially saturated soil, Transp. Porous Media, 1, 27-55.
44. van Genuchten, M. T. (1980), A closed form equation for predicting the hydraulic conductivity of unsarurated soils, Soil Sci. Soc. Am. J., 44, 892-898.
45. Villholt, K. G., and K. H. Jensen (1998), Flow and transport processes in a macroporous subsurface drained glacial till soil: II. Model analysis, J. Hydrol., 207, 121-135.
46. Villholt, K. G., K. H. Jensen, and J. Fredericia (1998), Flow and transport processes in a macroporous subsurface drained glacial till soil: I. Field investigations, J. Hydrol., 207, 98-120.
47. Warren, J. E., and P. J. Root (1963), The behaviour of naturally fractured reservoirs, Soc. Pet. Eng. J., 3, 245-255.
48. Zimmerman, R. W., and G. S. Bodvarsson (1989), Integral method solution for diffusion into a spherical block, J. Hydrol., 111, 213-224.
49. Zimmerman, R. W., G. Chen, T. Hadgu, and G. S. Bodvarsson (1993), A numerical dual-porosity model with semianalytical treatment of fracture/ matrix flow, Water Resour. Res., 29(7), 2127-2137.
50. Zimmerman, R. W., T. Hadgu, and G. S. Bodvarsson (1996), A new lumped-parameter model for flow in unsarurated dual-porosity media, Adv. Water Resour., 19(5), 317-327.