| A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | |
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1 | Lake properties | Key | ||||||||||||||||||||||||
2 | Lake surface area | 83 | acres | 3,615,480 | sq ft | Input | ||||||||||||||||||||
3 | First foot volume (approximate) | 3,615,480 | cu ft | 27,045,670 | gallons | Estimate | ||||||||||||||||||||
4 | Output | |||||||||||||||||||||||||
5 | Required flow - assuming no inflow/rain | |||||||||||||||||||||||||
6 | Desired number of days to lower first foot | 15 | days | Unit conversions | ||||||||||||||||||||||
7 | Required flow to draw down first foot in time | 241,032 | cu ft / day | 167 | cu ft / min | 2.79 | cu ft / sec | 43560 | sq ft / acre | |||||||||||||||||
8 | 7.48052 | gallon / cu ft | ||||||||||||||||||||||||
9 | Lake volume increase due to inflow/rain | This is the toughest thing to estimate! Note: all inflow is ultimately due to rain. | ||||||||||||||||||||||||
10 | Watershed (50% runoff): Inflow to lake per inch of rain | 14.84 | inches / inch rain | 4,470,345 | cu ft / inch rain | From sheet: Watershed | ||||||||||||||||||||
11 | Watershed (saturated): Inflow to lake per inch of rain | 28.67 | inches / inch rain | 8,639,400 | cu ft / inch rain | From sheet: Watershed | ||||||||||||||||||||
12 | Watershed (76% runoff): Inflow to lake per inch of rain | 22.03 | inches / inch rain | 6,638,254 | cu ft / inch rain | Matches 2018 conditions. From sheet: Watershed | ||||||||||||||||||||
13 | Copy one of the numbers in orange above to the blue cell below, or enter a different number to try | |||||||||||||||||||||||||
14 | Volume increase per inch of rain | 22.03 | inches / inch rain | 6,638,254 | cu ft / inch rain | 49,657,589 | gallons / inch rain | 76% runoff, matches 2018 conditions | ||||||||||||||||||
15 | ||||||||||||||||||||||||||
16 | Rainfall | Historical | 2017 | 2018 | ||||||||||||||||||||||
17 | Average rain per day Sep - Dec | 0.15 | 0.11 | 0.20 | From sheet: Drawdown rainfall | |||||||||||||||||||||
18 | Copy one of the numbers above to the blue cell below, or enter a different number to try | |||||||||||||||||||||||||
19 | Average rain per day over proposed drawdown period | 0.20 | inches rain / day | 2018 actual | ||||||||||||||||||||||
20 | Average volume increase per day due to rain (includes stream inflow) | 4.41 | inches / day | 1,327,651 | cu ft / day | 9,931,518 | gallons / day | |||||||||||||||||||
21 | ||||||||||||||||||||||||||
22 | Required outflow | |||||||||||||||||||||||||
23 | Average volume increase per day due to inflow and rain (above) | 1,327,651 | cu ft / day | 9,931,518 | gallons / day | Estimated based on the calculation above | ||||||||||||||||||||
24 | Desired number of days to lower first foot | 15 | days | |||||||||||||||||||||||
25 | Total volume that must flow to lower first foot | 23,530,241 | cu ft | 176,018,437 | gallons | |||||||||||||||||||||
26 | Required flow to draw down first foot in time | 1,568,683 | cu ft / day | 1,089 | cu ft / min | 18.16 | cu ft / sec | |||||||||||||||||||
27 | 8,149 | gallons / min | 136 | gallons / sec | ||||||||||||||||||||||
28 | Pilot siphon (6" diameter pipe) | |||||||||||||||||||||||||
29 | Time for (marker in) water to traverse pilot siphon | 5.5 | seconds | Scot's measurements using video frames, reported 5/28/19. Range of other mesaurements: 4.9 - 5.4 seconds | ||||||||||||||||||||||
30 | Pilot siphon pipe length | 57.67 | feet | Scot's measurements, reported 5/28/19 | ||||||||||||||||||||||
31 | Linear flow though pilot siphon | 629.1 | ft / min | 10.49 | ft / second | |||||||||||||||||||||
32 | Flow through piot siphon | 123.5 | cf ft / min | 2.06 | cf ft / second | |||||||||||||||||||||
33 | 15.4 | gallons / second | ||||||||||||||||||||||||
34 | Planned siphons | |||||||||||||||||||||||||
35 | Each planned siphon pipe diameter | 12 | inches | |||||||||||||||||||||||
36 | Each planned siphon pipe cross-section area | 113.10 | sq in | 0.79 | sq ft | |||||||||||||||||||||
37 | Expected linear flow per pipe relative to pilot | 1.00 | Estimated same as the pilot | |||||||||||||||||||||||
38 | Expected linear flow per pipe | 629.1 | ft / min | |||||||||||||||||||||||
39 | Expected flow per pipe | 494 | cu ft / min / pipe | 8.24 | cu ft / second / pipe | |||||||||||||||||||||
40 | 62 | gallons / sec / pipe | ||||||||||||||||||||||||
41 | Number of pipes required | 3 | pipes | 2.20 | pipes | |||||||||||||||||||||
42 | ||||||||||||||||||||||||||
43 | Important cases | 2.2 | 12" pipes | 8.8 | 6" pipes | |||||||||||||||||||||
44 | Important cases, rounded | 3 | 12" pipes | 9 | 6" pipes | |||||||||||||||||||||
45 | ||||||||||||||||||||||||||
46 | Summary: Siphons required based on rainfall | Historical avg: 0.15 | inches rain /day | 2018: 0.20 | inches rain /day | |||||||||||||||||||||
47 | 12" pipes | 1.7 | 12" pipes | 2.2 | 12" pipes | |||||||||||||||||||||
48 | 6" pipes | 7 | 6" pipes | 8.8 | 6" pipes | |||||||||||||||||||||
49 | ||||||||||||||||||||||||||
50 | Even more: 0.25 | inches rain /day | ||||||||||||||||||||||||
51 | 2.7 | 12" pipes | ||||||||||||||||||||||||
52 | 10.7 | 6" pipes | ||||||||||||||||||||||||
53 | ||||||||||||||||||||||||||
54 | Estimated flow per 12" pipe | 494 | cu ft / min / pipe | |||||||||||||||||||||||
55 | Number of 12" pipes | 1 | 12" pipe | 2 | 12" pipes | 3 | 12" pipes | |||||||||||||||||||
56 | Expected outflow | 494 | cu ft / min | 988 | cu ft / min | 1482 | cu ft / min | |||||||||||||||||||
57 | ||||||||||||||||||||||||||
58 | ||||||||||||||||||||||||||
59 | Ballpark drawdown time estimate for 3x12" siphons, assuming 76% runoff when it rains, on average (24% absorbed by the ground in the watershed) | |||||||||||||||||||||||||
60 | This section presents a rough estimate of drawdown time based on rainfall. It makes the assumption that, as the lake level drops, two opposing factors will cancel each other out: | |||||||||||||||||||||||||
61 | The flow through the siphons, which will slow down as the level gets lower, tending to increase the drawdown time. | |||||||||||||||||||||||||
62 | The surface area of the lake, which will reduce as the level gets lower thereby reducing the volume yet to remove, tending to decrease the drawdown time. | |||||||||||||||||||||||||
63 | This assumption is optimistic. One reason is that the reduction in surface area makes very little difference to the increase in lake volume from rain, most of which comes from the watershed. | |||||||||||||||||||||||||
64 | Since volume added by rain is very significant compared to initial lake volume, this really matters. Unfortunately we don't have the data to get anywhere without this assumption. | |||||||||||||||||||||||||
65 | Drawdown times are therefore very likely to be longer than the estimates below. | |||||||||||||||||||||||||
66 | ||||||||||||||||||||||||||
67 | First foot volume of lake (approximate) | 3,615,480 | cu ft | |||||||||||||||||||||||
68 | 5-foot volume (assuming per-foot volume remains the same, see above) | 18,077,400 | cu ft | |||||||||||||||||||||||
69 | ||||||||||||||||||||||||||
70 | Volume increase per inch of rain (from B14 based on runoff percentage) | 6,638,254 | cu ft / inch rain | Can change B14 to try different cases | ||||||||||||||||||||||
71 | ||||||||||||||||||||||||||
72 | Estimated flow per 12" siphon (from measurements of 2019 pilot) | 494 | cu ft / min / pipe | |||||||||||||||||||||||
73 | 711,360 | cu ft / day / pipe | ||||||||||||||||||||||||
74 | Estimated flow for all 3 siphons (assumed unchanging, see above) | 2,134,080 | cu ft / day / pipe | |||||||||||||||||||||||
75 | ||||||||||||||||||||||||||
76 | Number of Days Required based on Rainfall | The rainfall numbers in the blue cells below can be changed to analyze different rainfall scenarios | Overall average below | |||||||||||||||||||||||
77 | Average rain per day over proposed drawdown period, inches | 0.2 | 0.22 | 0.24 | 0.26 | 0.28 | 0.13 | |||||||||||||||||||
78 | Average volume increase/day due to rain (incl. stream inflow), cu ft / day | 1,327,651 | 1,460,416 | 1,593,181 | 1,725,946 | 1,858,711 | 844,718 | |||||||||||||||||||
79 | Average drawdown/day: difference between outflow and inflow, cu ft / day | 806,429 | 673,664 | 540,899 | 408,134 | 275,369 | 1,289,362 | |||||||||||||||||||
80 | Number of days required - very likely an under-estimate (see above) | 23 | 27 | 34 | 45 | 66 | 15 | |||||||||||||||||||
81 | Looks unrealistically low! | |||||||||||||||||||||||||
82 | ||||||||||||||||||||||||||
83 | 30-year averages: | |||||||||||||||||||||||||
84 | Nov | 3.90 | inches rain/month | 0.13 | inches rain/day | |||||||||||||||||||||
85 | Dec | 4.53 | inches rain/month | 0.15 | inches rain/day | |||||||||||||||||||||
86 | Jan | 3.73 | inches rain/month | 0.12 | inches rain/day | |||||||||||||||||||||
87 | Feb | 3.11 | inches rain/month | 0.10 | inches rain/day | |||||||||||||||||||||
88 | ||||||||||||||||||||||||||
89 | Overall average | 0.13 | inches rain/day | |||||||||||||||||||||||
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