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3. Conduct a water budget analysis for the following lake. Evaluate your finding

ID: 285466 • Letter: 3

Question

3. Conduct a water budget analysis for the following lake. Evaluate your findings. What can you conclude from these numbers? All of these measurements are good, such that data error is not an issue. The lake is located in SW VA and within the New River watershed. Suggestion: conduct the water budget in terms of acre-ft. .Length of time, At a 30 day month Lake Size = 300 acres, assumed constant Surface Influent into the lake = 15 cfs (average over the month with little variation) Lake Surface Effluent 12 cfs (average over the month with little variation) Total monthly precipitation 4.3" Total lake evaporation during the month = 5.25" Storage change of the lake as measured by a gage station = 0.75" increase · · ·

Explanation / Answer

Lake size = 300 acres = 300 x 4046.86 m2 = 1.214 x 106  m2

Surface influent = 15 cubic feet per second = 15 x 0.0283168466 Cubic Meters per second

Surface influent in 30 days =  15 x 0.02831 x 30 x 24 x 60 x 60

= 15 x 73,379.52 = 1,100,692.8 m3

Surface efluent in 30 days = 12 x 0.02831 x 30 x 24 x 60 x 60

= 12 x 73,379.52 = 880,554.24 m3

Water due to precipitation = 4.3 inches = 4.3 x 0.0254 = 0.10922 m

Water due to precipitation = 1.214 x 106 x 0.10922 m = 132593.08 m3

Water lost due to evaporation= 1.214 x 106 x 5.25 x 0.0254

= 1.214 x 106 x 0.13335 = 161886.9  m3

water budget = water in - water out

= (1,100,692.8 m3 + 132,593.08 m3) - (880,554.24 m3 + 161,886.9  m3)

= 190,844.74 m3

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