Output from FEMSEICHE
Comparison with field data and theoretical
values computed using Merian's formula
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Output
from FEMSEICHE
After inputting the bathymetry data, the
geometric data of Lake Mendota was modeled in FEMSEICHE, the computed
seiches periods for different modes were tabulated below:

Mode |
Period
(min) |
1 |
80.42 |
2 |
28.13 |
3 |
19.93 |
4 |
15.34 |
5 |
14.20 |
6 |
12.55 |
7 |
11.75 |
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*the above graph is supposed to show
the spatial structure of seiches, however, there might be some errors
and the spatial structure cannot be obtained successfully. Further
correction has to be done.
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Comparison with field data and theoretical values computed using
Merian's formula
Calculated seiches
periods
were compared to
2-minutes interval field data which lasts for 8 hours. The frequency
of the data was plotted against the amplitude. According to the study
done by
Jared Jasinsk, the period of seiches
at the first mode should be about 26 minutes. Periods of seiches for
the first six modes were roughly estimated from the graph (see the
arrows on the plot) and were tabulated in the table below.

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Mode no. |
Field data |
FEMSEICHE |
Merian's |
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|
Period
(min) |
Period
(min) |
Diff. w/
field (%) |
Period
(min) |
Diff. w/
field (%) |
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1 |
- |
80.42 |
- |
17.72 |
- |
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2 |
25.64 |
28.13 |
9.71 |
8.86 |
-65.46 |
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3 |
21.65 |
19.93 |
-7.93 |
5.91 |
-72.72 |
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4 |
15.29 |
15.34 |
0.31 |
4.43 |
-71.04 |
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5 |
13.44 |
14.20 |
5.62 |
3.54 |
-73.64 |
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6 |
12.35 |
12.55 |
1.62 |
2.95 |
-76.08 |
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7 |
11.57 |
11.75 |
1.48 |
2.53 |
-78.13 |
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Seiches period were also computed by
using the Merian's formula. Values of periods computed by both
Merian's and FEMSEICHE were then compared with the field data in the
table above. One assumption was made, that is the first mode was
missing from the field data. Based on that assumption, the seiches
period calculated by FEMSEICHE match well with the field data. The
percentage error is within 10% for the first seven modes. On the other
hand, the estimated values from the Merian's formula were over 65%
away from the field values.
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