Minimal-Seepage Depth of Isobaric Cavity under Ponded Conditions
Publication: Journal of Irrigation and Drainage Engineering
Volume 135, Issue 1
Abstract
A zero-pressure isobar is reconstructed in a potential Laplacian field generated by a sink–source pair that models steady-state Darcian seepage from a ponded soil surface to a cavity draining a homogeneous isotropic half-plane. At sufficiently small flow rates (cavity depths under the soil surface) the obtained contour is almost spherical. For a given “sphere” its depth under a constant-head plane is found providing minimal inflow rate.
Get full access to this article
View all available purchase options and get full access to this article.
References
Fujii, N., and Kacimov, A. R. (1998). “Analytic formulae for rate of seepage flow into drains and cavities.” Int. J. Numer. Analyt. Meth. Geomech., 22(4), 277–301.
Kacimov, A. R., and Youngs, E. (2009). “Axisymmetric critical cavities for water exclusion in “Green and Ampt” soils—Use of Pologii's integral transform.” J. Eng. Math., in press.
Kolymbas, D., and Wagner, P. (2007). “Groundwater ingress to tunnels—The exact analytical solution.” Tunnelling and Underground Space Technol., 22(1), 23–27.
Lei, S. (1999). “Analytical solution for steady flow into a tunnel.” Ground Water, 37(1), 23–26.
Polubarinova-Kochina, P. Y. (1965). “Approximate solution of some 3-D problems of groundwater movement.” Izv. AN SSSR, Mekha., N4(4), 183–185 (in Russian).
Polubarinova-Kochina, P. Y. (1969). “On the problem of obtaining axisymmetric flows from plane ones.” Fluid Dyn., 4(3), 133–136 (in Russian).
Polubarinova-Kochina, P. Y. (1977). Theory of ground-water movement, 2nd Ed., Nauka, Moscow (in Russian).
Razumova-Sretenskaya, V. N. (1957). “Some axisymmetric flows of gas in coal beds.” Izv. Akad. Nauk SSSR, Otd. Khim Nauk N6(6), 119–125 (in Russian).
Saulit, V. P. (1966). “3-D field distribution in magnetospectrometers and the shape of magnetic tips.” Proc., Leningrad Univ., Vol. 16, Leningrad University Press, Leningrad, 30–50 (in Russian).
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 135 • Issue 1 • February 2009
Pages: 108 - 110
Copyright
© 2009 ASCE.
History
Received: Sep 28, 2007
Accepted: Apr 14, 2008
Published online: Feb 1, 2009
Published in print: Feb 2009
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.