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<br />RESERVOIR ROUTING <br /> <br />1. BACKGROUND THEORY. <br /> <br />Routing a hydrograph through a reservoir normally is accomplished by <br />level-pool reservoir routing which assumes a level water surface behind the reservoir. <br />This hydrologic routing technique uses the principle of conservation of mass which <br />can be described as inflow minus outflow is equal to the rate of change of storage <br />within the reservoir. Mathematically the conservation of mass equation can be <br />expressed as: <br /> <br />L,-=t.J2 - Q.., + 0 2 :::: <br />2 2 <br /> <br />~2~1 <br />At <br /> <br />(1 ) <br /> <br />Where: <br /> <br />o = Outflow <br />I = Inflow <br />S = Storage <br />At = Computation time interval <br /> <br />Subscripts 1 and 2 denote the beginning and end of the routing interval, <br />respectively. This equation is the basic equation employed in the Modified Puis <br />routing technique which can be applied to either reservoir or channel routing problems. <br />The basic difference between the reservoir and channel routing applications is that a <br />channel is subdivided into several subreaches in which each subreach is analyzed <br />individually as a level pool reservoir. <br /> <br />In applying equation (1) to a reservoir, a storage-outflow relationship is <br />required. To develop a storage-outflow relationship, an elevation-storage relationship <br />and an elevation-outflow relationship should consider flow through the outlet works, <br />the emergency spillway, and over the top of the embankment if there is potential for <br />overtopping. <br /> <br />During the routing process, as water enters storage, the outflow <br />capability increases because the pool level rises which increases outflow. This <br />increasing outflow, with increasing water in storage, continues until the reservoir <br />reaches a maximum level which will occur at the moment that the outflow equals the <br />inflow on the recession side of the inflow hydrograph. Once the outflow becomes <br />greater than the inflow, the storage level will start decreasing. The difference <br />between the outflow and the inflow hydrograph on the recession side reflects water <br />withdrawn from storage. <br /> <br />7-70 <br />