ESTIMATION AND OPTIMIZATION OF TRANSIENT SEEPAGE WITH FREE-SURFACE

Authors
Citation
Ar. Kacimov, ESTIMATION AND OPTIMIZATION OF TRANSIENT SEEPAGE WITH FREE-SURFACE, Journal of irrigation and drainage engineering, 119(6), 1993, pp. 1014-1025
Citations number
26
Categorie Soggetti
Water Resources","Engineering, Civil
ISSN journal
07339437
Volume
119
Issue
6
Year of publication
1993
Pages
1014 - 1025
Database
ISI
SICI code
0733-9437(1993)119:6<1014:EAOOTS>2.0.ZU;2-U
Abstract
Single sink depths providing maximum ground-water table decrease durin g a fixed time interval within a selected area are found for the 2-D a nd 3-D cases. The curve of the maximal phreatic surface position (unde rflooding curve) in the aquifer from flood induced variation in water level of the ground-water reservoir is calculated. Well-known analytic al solutions based on nonlinear and linear potential theories and the Dupuit-Forchheimer approximation are applied to calculate the objectiv e function, decision variables, and boundary of the fully saturated zo ne. In the linear case, an explicit analytic solution gives the unique maximum of the water table decrease at the compliance point for a giv en pumping duration. For small values of sink depth, the linear approa ch is invalid. In the nonlinear case, complex analysis and series expa nsions are used. For small values of drain depth, the series technique becomes untenable. For the reservoir-aquifer problem the spreading ph reatic surface is a rotating straight line and the underflooding curve is a parabola.