Darcian Seepage through a Parallelogrammic Ramp

Toth's Model Revisited

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Fully saturated, 2-D steady seepage in a homogeneous, isotropic, parallelogrammic ramp is studied using the methods of complex analysis (a conformal mapping and integral representation of mixed boundary-value problem). A porous medium flow is induced by an overland free-surface flow with the latter determining the "shearing" pressure (hydraulic head) of the former through a boundary condition along one side of the polygon serving as a conjugation line. For a uniform overland flow, the stream function along the conjugation line has a single maximum corresponding to the Toth hinge line. The inflow rate into the ramp is divided into a part exfiltrating through the toe and through a toe-adjacent segment of the conjugation boundary. A wavy free surface is shown to generate a more complex seepage topology.

Original languageEnglish
Pages (from-to)377-381
Number of pages5
JournalJournal of Irrigation and Drainage Engineering
Volume138
Issue number4
DOIs
Publication statusPublished - Apr 26 2012

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Architectural Accessibility
overland flow
Toes
Seepage
seepage
free surface flow
Conformal mapping
hydraulic head
porous media
Hinges
polygon
Shearing
topology
Boundary value problems
Porous materials
porous medium
fluid mechanics
inflow
boundary condition
Head

Keywords

  • Analytical solution
  • Conformal mappings
  • Overland flow
  • Seepage
  • Singular integrals

ASJC Scopus subject areas

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

Cite this

Darcian Seepage through a Parallelogrammic Ramp : Toth's Model Revisited. / Kacimov, A. R.

In: Journal of Irrigation and Drainage Engineering, Vol. 138, No. 4, 26.04.2012, p. 377-381.

Research output: Contribution to journalArticle

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