Seepage optimization for trapezoidal channel

A. R. Kacimov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


A complex-variable method and series expansions are applied to optimal- shape design problems for a channel bed. A dimensionless depth of a trapezoidal and rectangular channel is determined by minimizing the cost function constrained by specified hydraulic characteristics. The cost function includes seepage losses and the cost of lining. The hydraulic constraints are cross-sectional area, the hydraulic radius, and the discharge. The problem of steady-state two-dimensional seepage involves determination of a phreatic surface with geometrical parameters as control functions. The extremes found are stable for minor perturbations of channel shape. The optimal criterion value for trapezoidal channels is close to Preissmann's for an arbitrary bed outline. The including of supplementary factors (the cost of evaporating water, of the channel land area, and so on) as criteria are discussed.

Original languageEnglish
Pages (from-to)520-526
Number of pages7
JournalJournal of Irrigation and Drainage Engineering
Issue number4
Publication statusPublished - Jul 1992
Externally publishedYes

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Water Science and Technology
  • Agricultural and Biological Sciences (miscellaneous)


Dive into the research topics of 'Seepage optimization for trapezoidal channel'. Together they form a unique fingerprint.

Cite this