Acre-foot

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acre-foot
An acre-foot volume (not drawn to scale)
General information
Unit systemUS Customary units
Unit ofVolume
Symbolac⋅ft
Conversions
1 ac⋅ft in ...... is equal to ...
   SI units   ≈ 1,233.482 m3
   US customary units   43,560 cu ft
   US customary units   ≈ 325,851.4 US gal
   Imperial units   ≈ 271,328.1 imp gal

The acre-foot is a non-SI unit of volume equal to about 1,233 m3 commonly used in the western United States in reference to large-scale water resources, such as reservoirs, aqueducts, canals, sewer flow capacity, irrigation water,[1] and river flows.

An acre-foot equals the volume of water needed to fill approximately an eight-lane swimming pool, 82 ft (25 m) long, 52 ft (16 m) wide and 9.8 ft (3 m) deep.

Definitions

As the name suggests, an acre-foot is defined as the volume of water that would cover 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 (1,233.5 m3).

There have been two definitions of the acre-foot (differing by about 0.0006%), using either the international foot (0.3048 m) or a U.S. survey foot (exactly 1200/3937 meters since 1893). On December 31, 2022, the National Institute of Standards and Technology, the National Geodetic Survey, and the United States Department of Commerce deprecated use of the US survey foot and recommended conversion to either the meter or the international foot.[2]

1 acre-foot = 43,560 cubic feet
= 75,271,680 cu in
= 325,851 37 US gal[lower-alpha 1]
international ≈ 1,233.4818 m3 (using the 0.3048 m foot)
U.S. survey ≈ 1,233.4892 m3 (using the 1200/3937 m foot)

Application

As a rule of thumb in US water management, one acre-foot is taken to be the planned annual water usage of a suburban family household.[lower-alpha 2] In some areas of the desert Southwest, where water conservation is followed and often enforced, a typical family uses only about 0.25 acre feet (310 m3) of water per year.[4] One acre-foot per year is approximately 119.26 cubic feet per day (3.38 cubic meters per day).

The acre-foot per year has been used historically in the US in many water-management agreements, for example the Colorado River Compact, which divides 15 million acre feet per year (19 cubic kilometers per year) among seven western US states.

Water reservoir capacities in the US are commonly given in thousands of acre-feet, abbreviated TAF or KAF.

In most other countries except the US, the metric system is in common use and water volumes are normally expressed in liter, cubic meter or cubic kilometer. One acre-foot is approximately equivalent to 1.233 megaliters. Large bodies of water may be measured in cubic kilometers (1 km3 equals 1 billion cubic meters or 1,000 gigaliters); 1 million acre feet approximately equals 1.233 km3.

A volumetric change of 10 acre-feet per hour is equivalent to exactly 121 cubic feet per second. Dividing by 120, this reduces to 1 acre-inch per hour is approximately 1.01 cu ft/s. This can be visualized as such: suppose a 1-acre field is receiving a sustained rainfall of 1 inch per hour. In order prevent the field from flooding or overflowing, the drainage system must be able to handle a discharge of at least 1 cubic foot per second.

See also

Explanatory notes

  1. As the foot is used via the inch to define the U.S. gallon, the number of US gallons in an acre feet is the same no matter which foot is used
  2. The state of Montana assumes 1.0 acre-foot/year[convert: unknown unit] for a family of five.[3]

Citations

  1. "NM OSE Glossary". http://www.ose.state.nm.us/water_info_glossary.html#A. 
  2. "U.S. Survey Foot". National Institute of Standards and Technology. January 4, 2023. https://www.nist.gov/pml/us-surveyfoot. 
  3. "Form No. 627 R8/03 Notice of Water Right". 13 April 2004. http://dnrc.mt.gov/wrd/water_rts/wr_general_info/wrforms/627.pdf. 
  4. Santa Fe, New Mexico rate averages 0.25 acre-foot per year per household. See ((Planning Division, Planning & Land Use Department, City of Santa Fe, New Mexico)) (February 2001). "Water Use in Santa Fe: A survey of residential and commercial water use in the Santa Fe urban area" (PDF). Archived on 2012-07-22. Error: If you specify |archivedate=, you must also specify |archiveurl=. http://www.santafenm.gov/DocumentView.asp?DID=1427. 

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