Alex. Engrg. J., Alexandria University, Vol. 32(3): C161-C166
DESIGN OF DOWNSTREAM FILTER FOR A CONCRETE
DAM WITH AN END SHEET PILE
HeImi M. Hathoot, Ahmed I. AI-Amoud and Fawzi S. Mohammad
The case of confined seepage beneath a concrete dam with an end sheet pile and a downstream inverted filter is investigated in this paper. The theory of complex functions and the Schwartz-Christoffel transformation are used to establish equations by which the seepage taken by the filter may be estimated. A system of graphs is presented to study the effects of the length of sheet pile, the thickness of the permeable layer, the base width of darn and the length of filter on the seepage taken by the filter. The study led to a criterion for designing the optimal length of filter. A simple and practical design chart is presented. Finally a numerical example is provided to explain the use of the design chart.