Analytical Construction of Transient Flow Nets in Homogeneous and Isotropic Flow Medium
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 134, Issue 6
Abstract
The purpose of this study is to construct time-dependent flow nets, also called transient flow nets in homogenous and isotropic flow medium. Transient flow nets under hydraulic structures are developed in response to reservoir head fluctuations. An analytical solution for a transient flow net has not been reported in the literature. Time-dependent flow net equations are limited in engineering applications to simple boundary conditions. The geometry of transient flow nets does not change with time, as only the numerical values assigned to equipotential lines and flow lines change with time.
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Acknowledgments
This work was supported by the U.S. Army Corps of Engineers Contract No. UNSPECIFIEDDACW39-99-C-0028 with Louisiana State University. The writers thank George L. Sills, PE and T. Wayne Forrest, PE, senior geotechnical engineers at U.S. Army Engineer Research and Development Center, Vicksburg, Mississippi and Geotechnical Branch, Vicksburg District, respectively, as well as anonymous reviewers for their constructive suggestions and supplied documents.
References
Harr, M. E. (1962). Groundwater and seepage, McGraw-Hill, New York.
Holtz, R. D., and Kovacs, W. D. (1981). An introduction to geotechnical engineering, Prentice-Hall, Englewood Cliffs, N.J.
Petit Bois, G. (1961). Tables of indefinite integrals, Dover, New York.
Polubarinova-Kochina, P. Y. (1962). Theory of ground water movement (translated from Russian by J. M. Roger De Wiest), Princeton University Press, Princeton, N.J.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 134 • Issue 6 • June 2008
Pages: 888 - 893
Copyright
© 2008 ASCE.
History
Received: Apr 4, 2007
Accepted: Sep 11, 2007
Published online: Jun 1, 2008
Published in print: Jun 2008
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