Finding the Invariant Measure of Water Levelin Mettur Dam Under Stochastic Averaging
Abstract
Damsservingmultiple purposes aregaining importance, especially for developing countries as theycan provideseveral enhancement benefits from a single investment has been shown in [9]. So this study inspects the everyday inflow and outflow of water in Mettur Dam from June 2004 to May 2005 and exhibits that whether or not this water benefits agriculture and other water needs. In this paper, we symbolize the results of stochastic averaging for stochastic flows and the behavior of Lyapunov exponent and invariant measure under the stochastic averaging and compare it with the water level in Mettur Dam.