Mathematical Modeling of the Effect of Cut-Off in Controlling Seepage beneath Hydraulic Structures

Abstract

<jats:p>Seepage is among the major causes of damage to dams and other hydraulic structures. Studying the hydraulic gradient and drift beneath hydraulic structures give a general idea about their safety. The objective of the paper is to develop a mathematical model of the effect of cut-off in controlling seepage beneath dams and other hydraulic structures. Analytical method was applied in the solution of the derived differential equation. The model exhibited a fairly constant reduction in the drift from upstream to downstream. A comparison of model shows that it compared favourably with the existing model with the advantage of being more simplified and easy to apply.</jats:p>