Assignment32
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Dec 6, 2023
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Assignment #3 - Water Balance Concepts and
Calculations
Due Date: Monday, November 6th 4:30 PM
Refer to the
Assignment #3 Rubric
for more details on marking scheme.
Submit to the
Assignment #3 Dropbox
.
Water Balance (15 Marks)
**
Note: Provide detailed calculations to illustrate how you arrived at the answers.
Question 1:
You are studying a watershed 4 km
2
in area and have collected the following data
over the period of one year. You can assume this watershed is of very general
shape and topography.
Month
Precipitation
(mm/month) Discharge
(m³/s)
January
63.7
0.01
February
80.4
0
March
36.8
0.14
April
32.4
0.21
May
62.7
0.11
June
36.8
0.04
July
20.4
0.03
August
51.9
0.04
September
73.6
0.06
October
80.4
0.11
November
61.7
0.1
December
42.4
0.07
a)
Assuming that the watershed is at
steady state
over the year, the water
balance equation can be written as P = E
ET
+ Q. Calculate the
total
evapotranspiration
for the year (you can also assume that E = E
V
+
E
T
).
Provide your answer in mm/day. (8 marks)
b)
The estimated average evapotranspiration for the month of July is 0.053
cm/day, what is the
change in storage
of the watershed for July? Be sure
to
indicate
if it is an increase or decrease in storage. Provide your answer in cubic
metres (m
3
). (5 marks)
c)
Assuming that the change in storage in July is entirely from a
small
lake
within your watershed, and the
area
of the lake is 0.0645 km
²
, what is
the change in the
lake level
(i.e. depth) in July, and indicate whether the lake level
decreased or increased? Provide your answer in metres (m). (2 marks)
Note: You can use software such as Microsoft Excel to aid in your calculations above, but
please make sure to show the steps in an example calculation for each question, and
please include all your tables and worksheets.
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