Author Topic: Quick Math Question  (Read 877 times)

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Offline WeatherHost

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Quick Math Question
« on: February 20, 2019, 09:20:05 AM »
How many gallons of water does it take to raise a 50,000 acre lake one foot?


Offline galfert

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Re: Quick Math Question
« Reply #1 on: February 20, 2019, 10:00:20 AM »
If I understand this correctly:
http://www.montecitowater.com/how_many_gallons_of_water_in_a_c.htm

I get 16,291,440,000 gallons of water to raise a 50,000 acre lake one foot. (16.3 billion gallons of water).

« Last Edit: February 20, 2019, 10:10:47 AM by galfert »
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Offline AWL

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Re: Quick Math Question
« Reply #2 on: February 20, 2019, 10:26:25 AM »
16,292,636,599gal using excel convert (I am rusty on excel)

Doug

Offline PaulMy

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Re: Quick Math Question
« Reply #3 on: February 20, 2019, 11:19:43 AM »
Quote
How many gallons of water does it take to raise a 50,000 acre lake one foot?
I believe the calculations shown are in US gallons in the calculations, it would be a different number if you calculated in Imperial gallons.  Presumably the OP would be assuming US gallons though.


Enjoy,
Paul

Offline AWL

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Re: Quick Math Question
« Reply #4 on: February 20, 2019, 11:26:15 AM »
Quote
How many gallons of water does it take to raise a 50,000 acre lake one foot?
I believe the calculations shown are in US gallons in the calculations, it would be a different number if you calculated in Imperial gallons.


How about 13,566,457,895 Imperial gallons!

Offline WeatherHost

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Re: Quick Math Question
« Reply #5 on: February 20, 2019, 11:27:05 AM »
Well, that's how much Lake Barkley has risen in the last 30 hours or so.  It should rise that much again in the next 30 hours or so.  Thing is, for every foot it rises, the acreage increases vastly.

2/19/2019 12 AM CST    355.10
2/20/2019 6 AM CST    356.10

https://www.tva.gov/Environment/Lake-Levels/Barkley/48-Hours



Kentucky Lake is very similar.

https://www.tva.gov/Environment/Lake-Levels/Kentucky/48-Hours


« Last Edit: February 20, 2019, 11:30:03 AM by WeatherHost »

Offline galfert

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Re: Quick Math Question
« Reply #6 on: February 20, 2019, 11:29:14 AM »
Well OP lives in the middle of the Atlantic Ocean so no telling if they are using imperial or US gallons. Also not sure what lake they are concerned with living in the middle of the Atlantic. /sarcasm  :roll:

Edit: cross posted. I see name of lake now :)

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Offline Jstx

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Re: Quick Math Question
« Reply #7 on: February 20, 2019, 01:27:54 PM »
Since "1 acre-foot of water ( *1 ) equals 1 U.S. survey acre-foot =
43,560 U.S. survey cubic feet
≈ 1233.4892384681 m3
≈ 271,329.700571 imp gal
≈ 325,853.383688 U.S. gal[nb 1]",
lets call it 325.9K gallons, a (surface) 50,000 acre lake rising 1 foot would be adding 50,000 X 325,853.383 = 16,292,669,150 (US) gallons of water.
Roughly 16.3 Billion (US) gallons of water per foot of depth in that 50Kf² lake.
https://en.wikipedia.org/wiki/Acre-foot

However, as noted by others, most bodies of water expand in area (*2) as the water rises, so the number of acre-feet and gallons are also increasing with each 1 foot rise in lake level.

Similarly, most don't realize just how much water, as vapor, clouds hold, even puffy little cumulus clouds hold many thousands of gallons of water.
Down here near the Gulf, one can actually sometimes see those billions of gallons of moisture being transported north and northeastward as clouds that eventually drop as (often) major rainfall/snowfall events in the more northern states. It often takes the form of a certain type of dense rapidly moving cumulus streaming n/ne, when I see them I'm pretty certain somebody far away is going to get clobbered with precip. These clouds actually appear a bit 'tropical', like those associated with TrSm/hurricanes (or feeders to TS/squall/frontal systems), but without the large-scale rotation. Convection, it's a bear.

*1  "As the name suggests, an acre-foot is defined as the volume of one acre of surface area to a depth of one foot.
Since an acre is defined as a chain by a furlong (i.e. 66 ft × 660 ft or 20.12 m × 201.17 m), an acre-foot is 43,560 cubic feet (1,233 m3)."

*2 I live fairly high above the San Antonio River surface on a sort of ridge, normally the river in it's valley is just visible as a mid-distant (~<1 mi) treeline, and the river is only ~<25 yards wide.
In the 'great floods' of 1998 and 2000, the river flooded to the point where it was two or three miles wide (treeline was definitely submerged) , an awesome sight (took a bunch of pictures). The river waters inundated many hundreds of thousands of acres of land down to the SA Bay. It came up and covered the US highway below my place (still ~100 feet downhill), cutting it off and forcing a detour of many miles for NW/SE traffic towards SA. The ex's place is at much lower elevation, and the river's edge came within a few hundred yards of it (some people have since built homes down there...suspect that they'll be surprised to have waterfront property the next time).

« Last Edit: February 20, 2019, 01:32:27 PM by Jstx »

Offline WeatherHost

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Re: Quick Math Question
« Reply #8 on: February 20, 2019, 02:02:39 PM »
Kentucky Dam is currently releasing over 215,000 cubic feet per second.


Offline stevebrtx

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Re: Quick Math Question
« Reply #9 on: February 20, 2019, 02:44:35 PM »
During our floods last Oct the Llano river at Llano which normally flows around 150 CFS most of the time jumped to 320,000 CFS. That feeds Lake LBJ which also receives flow from 2 other sources, also flowing heavy. It took out a 50 year old 4 lane bridge which is now being replaced. They're still clearing out the damage to docks etc.

Offline WeatherHost

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Re: Quick Math Question
« Reply #10 on: February 22, 2019, 08:00:59 PM »
Barkley is now at:

2/22/2019 4 PM CST    357.30 and releasing 167,500 cubic feet per second.


Kentucky is releasing 310,000 cubic feet per second.

It's been raining all day in Tennessee and may do so tomorrow. 

Offline WeatherHost

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Re: Quick Math Question
« Reply #11 on: February 24, 2019, 02:17:00 AM »
Barkley still rising, a little over 2 1/2 feet since the level above:

2/23/2019 10 PM CST    357.75    178,400

Kentucky also:

2/23/2019 4 PM CST    357.69    339,387

Rivers below those dams are at or near Record Flood Stage, Tennessee, Cumberland, Ohio and Mississippi.

« Last Edit: February 24, 2019, 02:18:34 AM by WeatherHost »