Seepage into Variably Saturated Porous Medium
Publication: Journal of Irrigation and Drainage Engineering
Volume 113, Issue 2
Abstract
A numerical model is developed for simulating the interaction of a surface water body with a variably saturated porous medium. A boundary condition simulating the soil‐water pressure head at the boundary between the porous medium and the surface water body, expressed as a function of the soil‐water flux at the boundary, is also integrated into the model. The interaction of the surface and subsurface flow system leads to a more accurate simulation of soil‐water flow velocity, which is of importance in problems dealing with the seepage of pollutants into the subsurface environment. The Galerkinfinite element method is used to solve the variably saturated flow equation and the Darcy equation, employing isoparametric elements that simulate the physical geometry of the porous medium. Solutions to the model give the transient position of the stage of the surface water body and the distribution of the phreatic surface in the porous medium, providing robust estimates of the rate of seepage into the porous medium. The capability of the model is illustrated by considering the interaction of a semipervious surface pond with a variably saturated stream‐aquifer system.
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References
1.
Brooks, R. H., and Corey, A. T. (1966). “Properties of porous media affecting fluid flow.” J. Irrig. Drain. Div., ASCE, 92(2), 61–68.
2.
Brutsaert, W. (1966). “Probability laws for pore size distribution.” Soil Sci., 101, 85–92.
3.
Cabrera, G., and Mariño, M. A. (1976). “A finite element model of contaminant movement in groundwater.” Water Resour. Bul., AWRA, 12(2), 317–335.
4.
Cooley, R. L. (1983). “Some new procedures for numerical solution of variablysaturated flow problems.” Water Resour. Res. 19(5), 1271–1285.
5.
Glover, R. E. (1964). “Groundwater movement.” Engineering Monograph 31, Chief Engineer, Bureau of Reclamation, U.S. Dept. of Interior, Denver, Colo., 81 pp.
6.
Haji‐Djafari, S., and Wiggert, D.C. (1976). “Two‐dimensional analysis of tracer movement and transient flow in phreatic aquifer.” Paper presented at 2nd bit'l Symp. Finite Element Methods in Flow Problems, Rapallo, Italy.
7.
Haushild, W., and Kruse, G. (1962). “Unsteady flow of groundwater into a surface reservoir.” Trans., ASCE, 127, 408–415.
8.
Hornberger, G. M., Ebert, J., and Remson, I. (1970). “Numerical solution of the Boussinesq equation for aquifer‐stream interaction.” Water Resour. Res. 6(2), 601–608.
9.
Konikow, L. F., and Bredehoeft, J. D. (1974). “Modeling flow and chemical quality changes in an irrigated stream‐aquifer system.” Water Resour. Res. 10(3), 546–562.
10.
Mariño, M. A. (1973). “Water‐table fluctuation in semipervious stream‐unconfined aquifer systems.” J. Hydrol. 19, 43–52.
11.
Mariño, M. A. (1975). “Digital simulation model of aquifer response to stream stage fluctuation.” J. Hydrol. 25, 51–58.
12.
Mariño, M. A. (1978). “Solute transport in a saturated‐unsaturated porous medium.” Modeling, Identification and Control in Environmental Systems, G. C. Vansteenkiste, Ed., North‐Holland Publ. Co., Amsterdam, The Netherlands, 269–281.
13.
Neuman, S. P. (1973). “Saturated‐unsaturated seepage by finite elements.” J. Hydraul. Div., ASCE, 99(12), 2233–2250.
14.
Pinder, G. F., and Sauer, S. P. (1971). “Numerical simulation of flood wave modification due to bank storage effects.” Water Resour. Res. 7(1), 63–70.
15.
Pinder, G. F. (1973). “A Galerkin‐finite element simulation of groundwater contamination on Long Island, New York.” Water Resour. Res. 9(6), 1657–1669.
16.
Segol, G., Pinder, G. F., and Gray, W. G. (1975). “A Galerikin‐finite element technique for calculating the transient position of the saltwater front.” Water Resour. Res. 11(2), 343–347.
17.
Theis, C. V. (1941). “The effect of a well on the flow of a nearby stream.” Trans. Am. Geophys. Union 3, 734–738.
18.
Tracy, J. C. (1986). “Loss rates from surface water bodies to a variably‐saturated porous medium,” thesis presented to the Univ. of California, at Davis, Calif., in partial fulfillment of the requirements for the degree of Master of Science.
19.
Winter, T. C. (1983). “The interaction of lakes with variably‐saturated porous media.” Water Resour. Res. 19(5), 1203–1218.
20.
Zienkiewicz, O. C., and Morgan, K. (1983). Finite Elements and Approximations. John Wiley & Sons, New York, N.Y., 328 pp.
21.
Zitta, V. L., and Wiggert, J. M. (1971). “Flood routing in channels with bank seepage.” Water Resour. Res. 7(5), 1341–1345.
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Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 113 • Issue 2 • May 1987
Pages: 198 - 212
Copyright
Copyright © 1987 ASCE.
History
Published online: May 1, 1987
Published in print: May 1987
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