Recession Analysis of Drought Flow Using Hele Shaw Model
Publication: Journal of Hydrologic Engineering
Volume 10, Issue 2
Abstract
This study presents recession analyses of drought flow from a sloping aquifer on a hillslope. The experimental part of the study uses a Hele Shaw model as a creeping flow model. The theoretical part applies the nonlinear Boussinesq equation with an open downstream boundary. The slopes of the recession curves on full-log paper at short times are the same whether the bottom slope of the aquifer is small or not. Conversely, those for the horizontal aquifer at long times are completely different from those for the sloping aquifer. The results have shown that the bottom slope generates a point of maximum water depth in the aquifer. The experimental data have also indicated that the water depth at the downstream end is not constant, but is a decreasing function of time.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writer is indebted to Y. Asai, T. Iijima, and S. Kawarai, who were undergraduate students in the Department of Civil Engineering, Kanazawa Institute of Technology, Ishikawa Prefecture, Japan, for conducting the experimental part of this study for their B.S. theses.
References
Barnes, B. S. (1940). “Discussion of analysis of runoff characteristics.” Trans. ASCE, 105, 106.
Brutsaert, W., and Nieber, J. L. (1977). “Regionalized drought flow hydrographs from a mature glaciated plateau.” Water Resour. Res., 13(3), 637–643.
Brutsaert, W. (1994). “The unit response of groundwater outflow from a hillslope.” Water Resour. Res., 30(10), 2759–2763.
Guo, W. (1997). “Transient groundwater flow between reservoirs and water-table aquifers.” J. Hydrol., 195, 370–384.
Ibrahim, H. A., and Brutsaert, W. (1965). “Inflow hydrographs from large unconfined aquifers.” J. Irrig. Drain. Eng., 91(2), 21–38.
Mizumura, K. (2002). “Drought flow from hillslope.” J. Hydrologic Eng., 7(2), 109–115.
Parlange, J. Y., et al. (2001). “Sudden drawdown and drainage of a horizontal aquifer.” Water Resour. Res., 37(8), 2097–2101.
Philip, J. R. (1957). “The theory of infiltration. 4: Sorptivity and algebraic infiltration equations.” Soil Sci., 84, 257–264.
Sanford, W. E., Parlange, J.-Y., and Steenhuis, T. S. (1993). “Hillslope drainage with sudden drawdown: closed form solution and laboratory experiments.” Water Resour. Res., 29(7), 2313–2321.
Szilagyi, J., and Parlange, M. B. (1998). “Baseflow separation based on analytical solutions of the Boussinesq equation.” J. Hydrol., 204, 251–260.
Szilagyi, J., Parlange, M. B., and Albertson, J. D. (1998). “Recession flow analysis for aquifer parameter determination.” Water Resour. Res., 34(7), 1851–1857.
Todd, D. K. (1954). “Unsteady flow in porous media by means of a Hele-Shaw viscous fluid model.” Trans., AGU, 35(6), 905–916.
Verhoest, N. E. C., and Troch, P. A. (2000). “Some analytical solutions of the linearized Boussinesq equation with recharge for a sloping aquifer.” Water Resour. Res., 36(3), 793–800.
Yates, S. R., Warrick, A. W., and Lomen, D. O. (1985). “Hillslope seepage: an analytical solution to a nonlinear Dupuit-Forchheimer problem.” Water Resour. Res., 21(3), 331–336.
Zecharis, Y. B., and Brutsaert, W. (1988). “Recession characteristics of groundwater outflow and base flow from mountaneous watersheds.” Water Resour. Res., 24(10), 1651–1658.
Information & Authors
Information
Published In
Copyright
© 2005 ASCE.
History
Received: Jul 7, 2003
Accepted: Mar 28, 2004
Published online: Mar 1, 2005
Published in print: Mar 2005
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.