Estimation of internodal permeabilities for numerical simulation of unsaturated flows

Water Resources Research

Volumn 38, Issue 12, 2002, Pages 62-1-62-10

  Gastó, Josep M ^a   Grifoll, Jordi ^a   Cohen, Yoram ^b  

^a UNIVERSITAT ROVIRA I VIRGILI   (Spain)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Hydraulic conductivity; Internodal permeabilities; Unsaturated flow; Vadose zone; Water transport

Indexed keywords

CORRELATION METHODS; HYDRAULICS; MATHEMATICAL TECHNIQUES; MECHANICAL PERMEABILITY; SOILS;

INTERNODAL PERMEABILITIES;

FLOW OF FLUIDS;

HYDRAULIC CONDUCTIVITY; PERMEABILITY; POROUS MEDIUM; UNSATURATED FLOW;

HYDRAULIC CONDUCTIVITY; PERMEABILITY; UNSATURATED FLOW; VADOSE ZONE;

EID: 0036998943     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2002wr001529     Document Type: Article

References (27)

1. Baker, D. L., Darcian weighted interblock conductivity means for vertical unsaturated flow, Ground Water, 33, 385-390, 1995.
2. Baker, D. L., M. E. Arnold, and H. D. Scott, Some analytical and approximate darcian means, Ground Water, 37, 532-538, 1999.
3. Bear, J., and Y. Bachmat, Introduction to Modeling of Transport Phenomena in Porous Media, Kluwer Acad., Norwell, Mass., 1991.
4. Brooks, R. H., and A. T. Corey, Hydraulic properties of porous media, Hydrol. Pap. 3, Colo. state Univ., Fort Collins, Colo., 1964.
5. Carsel, R. F., and R. S. Parrish, Developing joint probability distribution of soil water retention characteristics, Water Resour. Res., 24, 755-769, 1988.
6. Celia, M. A., E. T. Bouloutas, and R. L. Zarba, A general mass-conservative numerical solution for the unsaturated flow equation, Water Resour. Res., 26, 1483-1496, 1990.
7. Ferziger, J. H., Numerical Methods for Engineering Application, John Wiley, New York, 1981.
8. Grifoll, J., and Y. Cohen, A front tracking numerical algorithm for liquid infiltration into nearly dry soils, Water Resour. Res., 35, 2579-2585, 1999.
9. Haverkamp, R., and M. Vauclin, A note on estimating finite difference interblock hydraulic conductivity values for transient unsaturated flow problems, Water Resour. Res., 15, 181-187, 1979.
10. Haverkamp, R., M. Vauclin, J. Touma, P. Wierenga, and G. Vachaud, Comparison of numerical simulation models for one-dimensional infiltration, Soil Sci. Soc. Am. J., 41, 285-294, 1977.
11. Hillel, D., Fundamentals of Soil Physics, Academic, San Diego, Calif., 1980.
12. Hills, R. G., I. Porro, D. B. Hudson, and P. J. Wierenga, Modeling one-dimensional infiltration into very dry soils, 1, Model development and evaluation, Water Resour. Res., 25, 1259-1269, 1989.
13. International Mathematical and Statistical Library (IMSL), QDAG Routine in Fortran 90 MP Library, Version3.0, Visual Numerics Inc., Houston, Tex., 1997.
14. Kirkland, M. R., R. G. Hills, and P. J. Wierenga, Algorithms for solving Richards' equation for variably saturated soils, Water Resour. Res., 28, 2049-2058, 1992.
15. Miller, C. T., G. A. Williams, C. T. Kelley, and M. D. Tocci, Robust solution of Richards' equation for nonuniform porous media, Water Resour. Res., 34, 2599-2610, 1998.
16. Philip, J. R., Theory of infiltration, Adv, Hydrosci., 5, 215-305, 1968.
17. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes, Cambridge Univ. Press, New York, 1990.
18. Rawls, W. J., and D. L. Brakensiek, Estimation of soil water retention and hydraulic properties, in Unsaturated Flow in Hydrologic Modeling, pp. 275-299, Kluwer Acad., Norwell, Mass., 1989.
19. Richards, L. A., Capillary conduction of liquids in porous media, Physics, 1, 318-333, 1931.
20. Ross, P. J., Cubic approximation of hydraulic properties for simulations of unsaturated flow, Water Resour. Res., 28, 2617-2620, 1992.
21. Schnabel, R. R., and E. B. Richie, Calculation of internodal conductances for unsaturated flow simulations: A comparison, Soil Sci. Soc. Am. J., 48, 1006-1010, 1984.
22. Srivastava, R., and A. Guzman-Guzman, Analysis of hydraulic conductivity averaging schemes for one-dimensional steady-state unsaturated flow, Ground Water, 33, 946-952, 1995.
23. van Genuchten, M. T., A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892-898, 1980.
24. Warrick, A. W., Numerical approximations of darcian flow through unsaturated soil, Water Resour. Res., 27, 1215-1222, 1991.
25. Warrick, A. W., D. O. Lomen, and S. R. Yates, A generalized solution to infiltration, Soil Sci. Soc. Am. J., 49, 34-38, 1985.
26. Williams, G. A., C. T. Miller, and C. T. Kelley, Transformation approaches for simulating flow in variably saturated porous media, Water Resour. Res., 36, 923-934, 2000.
27. Zaidel, J., and D. Russo, Estimation of finite difference interblock conductivities for simulation of infiltration into initially dry soils, Water Resour. Res., 28, 2285-2295, 1992.