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 language | English |
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Pages (from-to) | 377-381 |
Number of pages | 5 |
Journal | Journal of Irrigation and Drainage Engineering |
Volume | 138 |
Issue number | 4 |
DOIs | |
Publication status | Published - Apr 26 2012 |
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)