Capillarity and Evaporation Exacerbated Seepage Losses from Unlined Channels
Publication: Journal of Irrigation and Drainage Engineering
Volume 132, Issue 6
Abstract
Steady, essentially two-dimensional, tension-saturated seepage from a flat-bottomed soil channel in an arid environment is studied analytically. Physically, the action of capillary spreading, evaporative drive to the atmosphere both from the near-channel banks and capillary fringe boundary, Darcian resistance of the matrix and gravity are juxtaposed and result in trifurcation of infiltrated water into deep percolation and semi-infinite evaporation “wings” with two hinge points on the soil surface and two dividing streamlines. Mathematically, free boundary problem is solved by conformal mappings and the Polubarinova-Kochina boundary-value problem method. The dependence of deep percolation losses and evaporative return flow on the channel width, conductivity, static capillary rise height, and intensity of evaporation is found.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The comments of two anonymous referees are appreciated.
References
Bouwer, H. (1978). Groundwater hydrology, McGraw-Hill, New York.
Dingman, S. L. (1993). Physical hydrology, Prentice-Hall, Upper Saddle River, N.J.
Emikh, V. N. (1993). Hydrodynamics of seepage flows with drainage, Nauka, Novosibirsk (in Russian).
Hillel, D. (1980). Applications of soil physics, Academic, New York.
Kacimov, A. R. (1996). “Explicit solutions for seepage infiltrating into a porous earth dam due to precipitation.” Int. J. Numer. Analyt. Meth. Geomech., 20(10), 715–723.
Kacimov, A. R. (2004). “Capillary fringe and unsaturated flow in a porous reservoir bank.” J. Irrig. Drain. Eng., 130(5), 403–409.
Kacimov, A. R., Obnosov, Yu. V., and Perret, J. (2004). “Phreatic surface flow from a near-reservoir saturated tongue.” J. Hydrol., 296(1–4), 271–281.
Kacimov, A. R., and Youngs, E. G. (2005). “Steady-state water-table depressions caused by evaporation in lands overlying a water-bearing substratum.” J. Hydrol. Eng., 10(4), 295–301.
Menenti, M. (1984). Physical aspects and determination of evaporation in desert applying remote sensing technique, Inst. voor Cultuurtechniek en Waterhuishouding, Wageningen.
Philip, J. R. (1991). “Upper bounds on evaporation losses from buried source.” Soil Sci. Soc. Am. J., 55(6), 1516–1520.
Polubarinova-Kochina, P. Ya. (PK). (1977). Theory of ground-water movement, Nauka, Moscow (in Russian).
Prudnikov, A. P., Brychkov, Yu. V., and Marichev, O. I. (1986). Integrals and series. V. 1. Elementary functions, Gordon and Breach, New York.
Riesenkampf, B. K. (1938). “Hydraulics of groundwater. Part 2.” Transactions of the Saratov University, 14(2), 181–205 (in Russian).
Szabolcs, I. (1989). Salt-affected soils, CRC Press, Boca Raton, Fla.
Vedernikov, V. V. (1939). Theory of seepage and its application in irrigation and drainage, Gosstrojizdat, Moscow (in Russian).
Wolfram, S. (1991). Mathematica. A system for doing mathematics by computer, Addison-Wesley, Redwood City, Calif.
Information & Authors
Information
Published In
Copyright
© 2006 ASCE.
History
Received: Mar 10, 2005
Accepted: Mar 24, 2006
Published online: Dec 1, 2006
Published in print: Dec 2006
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.