Seepage from a Rectangular Ditch to the Groundwater Table
Publication: Journal of Irrigation and Drainage Engineering
Volume 132, Issue 3
Abstract
This study presents both a numerical and an experimental solution to seepage from a rectangular ditch or elongated pond to a groundwater table of infinite horizontal extent. Because of the unknown location of the free surface, the flow domain is transformed into the complex potential plane using the inverse formulation method, where the free surface becomes a straight line. The method of finite differences was used to solve the boundary value problem. The problem was also investigated experimentally using a sand tank model. For comparison purposes, a one-dimensional analytical solution is also presented. The results were compared with each other and with those available in the literature obtained with other solution techniques. The parameters affecting the seepage rate were investigated and the resulting relationships are presented in dimensionless graphs. It is believed that these graphs may be of use in design problems. The conditions for which the simplified one-dimensional analytical solution agrees well with the results of the sophisticated two-dimensional numerical solution are identified.
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References
Abdulrazzak, M. J., and Morel-Seytoux, H. J. (1983). “Recharge from an ephemeral stream following wetting front arrival to water table.” Water Resour. Res., 19(1), 194–200.
Anderson, D. A., Tannehill, J. C., and Pletcher, J. C. (1984). Computational fluid mechanics and heat transfer, McGraw-Hill, New York.
Bear, J. (1972). Dynamics of fluids in porous media, Elsevier, New York.
Bear, J. (1979). Hydraulics of groundwater, McGraw-Hill, New York.
Bouwer, H. (1965). “Theoretical aspects of seepage from open channels.” J. Hydraul. Div., Am. Soc. Civ. Eng., 91(3), 37–59.
Bouwer, H., Back, J. T., and Oliver, J. M. (1999). “Predicting infiltration and ground-water mounds for artificial recharge.” J. Hydrologic Eng., 4(4), 350–357.
Bruch, J. C. Jr., and Sainz, L. B. F. (1972). “Analytical flow nets in channel seepage flows.” Water Resour. Res., 8(2), 519–524.
Carnahan, B., Luther, H. A., and Wilkes, J. O. (1969). Applied numerical methods, Wiley, New York.
Chin, D. A. (1991). “Leakage of clogged channels that partially penetrate surficial aquifers.” J. Hydraul. Eng., 117(4), 467–488.
Dachler, R. (1936). Grundwasserstromung, Springer, Vienna, Austria.
Demetracopoulos, A. C., and Hadjitheodorou, C. (1996). “Seepage from surface canals by boundary element method.” J. Irrig. Drain. Eng., 122(1), 40–48.
Gill, M. A. (1984). “Water table rise due to infiltration from canals.” J. Hydrol., 70, 337–352.
Guo, J. C. Y. (1998). “Surface-subsurface model for trench infiltration basins.” J. Water Resour. Plan. Manage., 124(5), 280–284.
Herbert, R. (1970). “Modeling partially penetrating rivers on aquifer models.” Ground Water, 8, 29–36.
Jeppson, R. W. (1968). “Seepage from ditches—Solution by finite differences.” J. Hydraul. Div., Am. Soc. Civ. Eng., 94(1), 259–283.
Kronaveter, L., Shamir, U., and Kessler, A. (2001). “Water-sensitive urban planning: Modeling on-site infiltration.” J. Water Resour. Plan. Manage., 127(2), 78–88.
Sumner, D. M., Rolston, D. E., and Mariño, M. A. (1999). “Effects of unsaturated zone on ground-water mounding.” J. Hydrologic Eng., 4(1), 65–69.
Youngs, E. G. (1977). “The unsteady groundwater mound below an irrigation ditch or leaky canal.” J. Hydrol., 34, 307–314.
Youngs, E. G., Spoor, G., and Goodall, G. R. (1996). “Infiltration from surface ponds into soils overlying a very permeable substratum.” J. Hydrol., 186, 327–334.
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© 2006 ASCE.
History
Received: Sep 15, 2003
Accepted: Jun 24, 2005
Published online: Jun 1, 2006
Published in print: Jun 2006
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