Approximate Solution of Unsteady Groundwater Flows
Publication: Journal of Hydraulic Engineering
Volume 112, Issue 10
Abstract
Kantorovich's method for obtaining approximate solutions to problems of unsteady diffusion of heat and momentum is applied to unsteady ground water seepage flow problems. Simple profiles satisfying free surface boundary conditions in the spatial domain are assumed, leaving the time dependence to be determined from the governing equations. The governing nonlinear partial differential equation is thus reduced to a nonlinear ordinary differential equation whose exact solution is easily obtained. Results obtained using second-order profiles for both the sudden buildup case and the sudden drawdown case compare well with experimental data.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Kantorovich, L. V., and Krylov, V. T. (1958). Approximate Methods of Higher Analysis. Interscience—Noordhoff, New York—Groningen (Holland).
2.
Koussis, A. D. (1977). “Transient Reservoir—Aquifer Interaction.” J. Hydr. Div., ASCE, 105(6), 637–645.
3.
Liggett, J. A. (1977). “Location of Free Surface in Porous Media.” J. Hydr. Div., ASCE, 103(4), 353–363.
4.
Newman, S. P., and Witherspoon, P. A. (1971). “Analysis of Nonsteady Flow with a Free Surface Using the Finite Element Method.” Water Resources Research, 7(3), 611–623.
5.
Polubarinova‐Kochina, P. Y. (1962). Theory of Ground Water Movement, Princeton University Press, Princeton, N.J.
6.
Yeh, W. W. G. (1970). “Nonsteady Flow to Surface Reservoir.” J. Hydr. Div., ASCE, 96(3), 609–618.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 112 • Issue 10 • October 1986
Pages: 971 - 975
Copyright
Copyright © 1986 ASCE.
History
Published online: Oct 1, 1986
Published in print: Oct 1986
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.