Steady seepage in trenches and dams: Effect of capillary flow

Journal of Hydraulic Engineering

Volumn 125, Issue 3, 1999, Pages 286-294

  Boufadel, Michel C ^a   Suidan, Makram T ^a   Venosa, Albert D ^b   Bowers, Mark T ^a  

^a UNIVERSITY OF CINCINNATI   (United States)

^b U S ENVIRONMENTAL PROTECTION AGENCY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY FLOW; COMPUTATIONAL METHODS; DAMS; MATHEMATICAL MODELS; NOMOGRAMS; PORE SIZE;

CAPILLARY FRINGE; STEADY SEEPAGE; TRENCHES;

SEEPAGE;

CAPILLARY FLOW; DAM; GROUNDWATER; SEEPAGE; TRENCH;

ANISOTROPY RATIO; CAPILLARY FRINGE; DIMENSIONLESS PARAMETERS; DOMAIN HEIGHT; LENGTH SCALE; MODELING RESULTS; SATURATED MEDIA; STEADY SEEPAGE; TWO-DIMENSIONAL DOMAIN; VARIABLY SATURATED;

EID: 0033102121     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(1999)125:3(286)     Document Type: Article

References (40)

1. Atkinson, K. E. (1978). An introduction to numerical analysis. Wiley, New York, 587.
2. Basha, H. A. (1994). “Multidimensional steady infiltration with prescribed boundary conditions at the soil surface.” Water Resour. Res., 30, 2105–2118.
3. Bear, J. (1972). Dynamics of fluids in porous media. Elsevier Science, New York.
4. Boufadel, M. C. (1988). “Nutrient transport in beaches: Effect of tides, waves, and buoyancy,” Ph.D. thesis, Dept. of Civ. and Envir. Engrg., University of Cincinnati, Cincinnati.
5. Boufadel, M. C., Suidan, M. T., Venosa, A. D., Rauch, C. H., and Biswas, P. (1998). “2D variably saturated flows: Physical scaling and Bayesian estimation.” J. Hydrologic Engrg., ASCE, 3(4), 223–231.
6. Broabridge, P., and White, I. (1988). “Constant rate rainfall infiltration, a versatile nonlinear model. Part 1: Analytical solution.” Water Resour. Res., 24, 145–154.
7. Cedergren, H. R. (1967). Seepage, drainage, and flow nets. Wiley, New York, 489.
8. Celia, M. A., Bouloutas, E. T., and Zarba, R. L. (1990). “A general massconservative numerical solution for the unsaturated flow equation.” Water Resour. Res., 26, 1483–1496.
9. Charni, I. A. (1951). A rigorous derivation of Dupuit’s formula for unconfined seepage with seepage surface, Doklady Akademii Nauk USSR, 6, 79 (in Russian).
10. Cooley, R. L. (1983). “Some new procedures for numerical solution of variably saturated flow problems.” Water Resour. Res., 19, 1271–1285.
11. Craig, A. W., and Wood, W. L. (1981). “Cost-efficiency study of various methods for solving the seepage through dam problem using variational inequalities.” Int. J. Numer. Methods in Engrg., 17, 1325–1333.
12. Cryer, C. W. (1976). “A survey of steady-state porous flow free boundary problems.” MRC Tech. Sum. Rep. 1657, Madison Research Center, Madison, Wisconsin.
13. Dean, R. G., and Dalrymple, R. A. (1984). Water wave mechanics for engineers and scientists. Prentice-Hall, Englewood Cliffs, N.J., 353.
14. Dupuit, J. (1863). Etudes theoriques et pratiques sur le mouvement des eaux dans les canaux decouverts et a travers les terrains permeables, 2nd Ed., Dunod, Paris, (in French).
15. Freeze, R. A. (1971). “Three-dimensional, transient, saturated-unsaturated flow in a groundwater basin.” Water Resour. Res., 7(2), 347–366.
16. Freeze, R. A., and Cherry, J. A. (1979). Groundwater. Prentice-Hall, Englewood Cliffs, N.J., 604.
17. Gardner, W. R. (1958). “Some steady state solutions of the unsaturated moisture flow equation with application to evaporation from a water table.” Soil Sci., 4, 85, 228–232.
18. Gureghian, A. B. (1983). “TRIPM: A two-dimensional finite-element model for the simultaneous transport of water and reacting solutes through saturated and unsaturated porous media.” Tech. Rep., Battele Memorial Institute, Columbus, Ohio.
19. Hornung, U., and Krueger, T. (1985). “Evaluation of the Polubarinova-Kochina formula for the dam problem.” Water Resour. Res., 21, 395–398.
20. Huyakorn, P. S., and Pinder, G. F. (1983). Computational methods in subsurface flow. Academic, New York, 473.
21. Huyakorn, P. S., Springer, E. P., Guvanasen, V., and Wadsworth, T. D. (1986). “A three-dimensional finite element model for simulating water flow in variably saturated porous media.” Water Resour. Res., 22, 1790–1808.
22. Istok, J. (1989). Groundwater modeling by the finite element method. American Geophysical Union, Washington, D.C.
23. Li, L., Barry, D. A., Parlange, J.-Y., and Pattiaratchi, C. B. (1997). “Beach water table fluctuations due to wave run-up: Capillarity effects.” Water Resour. Res., 33(5), 935–945.
24. Morell-Seytoux, H. J., Meyer, P. D., Nacache, M., Touma, J., van Genuchten, M. T., and Lenhard, R. J. (1996). “Parameter equivalence for the Brroks-Corey and van Genuchten soil characteristics: Preserving the effective capillary drive.” Water Resour. Res., 32(5), 1251–1258.
25. Muskat, M. (1937). The flow of homogeneous fluids through porous media. McGraw-Hill, New York, 763.
26. Najem, W. (1982). Introduction aux techniques du calcul numerique, Engrg. Facu., University of Saint Joseph, Beirut, Lebanon, 54 (in French).
27. Neuman, S. P. (1973). “Saturated-unsaturated seepage by finite elements.” J. Hydr. Div., ASCE, (12), 2233–2250.
28. Pinder, G. F., and Gray, W. G. (1977). Finite element simulation in surface and subsurface hydrology. Academic, New York, 294.
29. Polubarinova-Kochina, P. Ya. (1963). Theory of ground water movement. Translated from Russian by J. M. R. De Wiest, Princeton University Press, Princeton, N.J., 613.
30. Richards, L. A. (1931). “Capillary conduction of liquids through porous mediums.” Phys., 1, 318–333.
31. Sanford, W. E., Parlange, J.-Y., and Steenhuis, T. S. (1993). “Hillslope drainage with sudden drawdown: Closed form solution and laboratory experiment.” Water Resour. Res., 29(7), 2313–2321.
32. Shamsai, A., and Narasimhan, T. N. (1991). “A numerical investigation of free surface-seepage face relationship under steady state flow conditions.” Water Resour. Res., 27(3), 409–421.
33. Spangler, M. G., and Handy, R. L. (1982). Soil engineering. Harper and Row, New York, 819.
34. van Genuchten, M. Th. (1980). “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. Proc., 44, 892–898.
35. Vauclin, M., Khanji, D., and Vachaud, G. (1979). “Experimental and numerical study of a transient, two-dimensional unsaturated-saturated water table recharge problem.” Water Resour. Res., 15(5), 1089–1101.
36. Verma, R. D., and Brutsaert, W. (1970). “Unconfined aquifer seepage by capillary flow theory.” J. Hydr. Div., ASCE, 96(6), 1331–1344.
37. Voss, C. I. (1984). “SUTRA, a finite-element model for saturated-unsaturated. Fluid-density-dependent groundwater flow with energy transport or chemically reactive single species solute transport.” Water Resour. Invest. Rep. 84-4369, U.S. Geological Survey.
38. Warrick, A. W., Islas, A., and Lomen, D. O. (1991). “An analytical solution to Richard’s equation for time varying infiltration.” Water Resour. Res., 27(5), 763–766.
39. Wise, W. R., Clement, T. P., and Molz, F. J. (1994). “Variably saturated modeling of transient drainage: Sensitivity to soil properties.” J. Hydro., Amsterdam, 161, 91–108.
40. Yeh, G. T. (1981). “On the computation of Darcian velocity and mass balance in the finite element modeling of groundwater flow.” Water Resour. Res., 17, 5, 1529–1534.