Given the reservoir with a storage-discharge relationship governed by the equationS = KQ3/...

Given the reservoir with a storage-discharge relationship governed by the equation

S = KQ3/2,

route the inflow hydrograph for Problem 1 using storage routing techniques and a value of K = 1.21 for Q in m3/s and S in m3/s-hr. Discuss the differences in the outflow hydrograph for this reservoir and for the reservoir of Problem 2. Use Δt = 1 hr.

Problem 1

What is a rating curve? How does a loop rating curve occur?

Problem 2

A reservoir has a linear S-Q relationship of

S = KQ,

where K = 1.21 hr. The inflow hydrograph for a storm event is given in the table.

(a) Develop a simple recursive relation using the continuity equation and S-Q relationship for the linear reservoir [i.e., aQ2 = bQ1+  where a, b, and c are constants and

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(b) Storage route the hydrograph through the reservoir using Δt = 1 hr.

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(c) Explain why the shape of storage-discharge relations is usually not linear for actual reservoirs.