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GRINDSTONE LAKE
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  Grindstone Lake Morphometry

 

The table below summarizes information about the Grindstone Lake basin. The lake has been "sliced" into layers, or slabs, of water that are 2 meters (6.5 feet) thick. The table reports the volume of each layer and the surface area at the middle of each layer. Adding up the layers yields a total volume of 46.9 x 106 m3 (cubic meters). The surface area of the lake was determined by GIS from the Landuse maps(lit cite) and equals 216 hectares (2.16 x 106 m2).

To estimate the area at the top of any layer, use the following formula: Regression of : Area (hectares) @ top of layer vs depth of layer top (meters) A(z) = (-5.1998)*z + 219.35.

To estimate the volume of any 1 meter thick layer, use the following formula: Regression of: Volume of 1m layers versus mid-layer depth (z) V(z) = (-0.5.181)*z + 22.158.

Table 1
Morphometry of Grindstone Lake.
Areas in hectares (1 hectare [ha] = 10,000 m2).
LAYER (meters)
AREA
(hectares at mid-depth)
VOLUME
(x 105 m3)
0-2 216 43.053
2-4 212 41.271
4-6 201 39.191
6-8 191 37.111
8-10 180 34.031
10-12 170 32.951
12-14 160 30.871
14-16 149 28.791
16-18 139 26.711
18-20 128 24.632
20-22 118 22.552
22-24 108 20.472
24-26 97 18.392
26-28 87 16.312
28-30 76 14.232
30-32 66 12.152
32-34 56 10.072
34-36 45 7.732
36-38 30 4.872
38-40 19 2.792
Total Volume = 46.9 (x106 m3)

 

Table 2
Complete depth profiles of area (at top of layers) and layer
volumes for Grindstone Lake. Z1 and z2 refer to the
top and bottom depths of a particular layer.
DEPTH
Z (meters)
AREA
@ top (hectares)
LAYER FROM
z1 to z2 (m)
LAYER VOLUME
(x106 m3)
0 216 0-1 21.638
1 215 1-2 21.378
2 212 2-3 20.895
3 206 3-4 20.375
4 201 4-5 19.855
5 196 5-6 19.336
6 191 6-7 18.816
7 186 7-8 18.296
8 180 8-9 17.776
9 175 9-10 17.256
10 170 10-11 16.736
11 165 11-12 16.216
12 160 12-13 15.696
13 154 13-14 15.176
14 149 14-15 14.656
15 144 15-16 14.136
16 139 16-17 13.616
17 134 17-18 13.096
18 128 18-19 12.576
19 123 19-20 12.056
20 118 20-21 11.536
21 113 21-22 11.016
22 108 22-23 10.496
23 102 23-24 9.976
24 97 24-25 9.456
25 92 25-26 8.936
26 87 26-27 8.416
27 82 27-28 7.896
28 76 28-29 7.376
29 71 29-30 6.856
30 66 30-31 6.336
31 61 31-32 5.816
32 56 32-33 5.296
33 50 33-34 4.776
34 45 34-35 4.256
35 40 35-36 3.476
36 30 36-37 2.696
37 24 37-38 2.176
38 19 38-39 1.656
39 14 39-40 1.136
Total Volume = 46.9 (x106 m3)
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http://www.waterontheweb.org/data/grindstone/context/morphometry.html
date last updated: Tuesday March 09 2004