Time of concentration

Time of concentration is a concept used in hydrology to measure the response of a watershed to a rain event. It is defined as the time needed for water to flow from the most remote point in a watershed to the watershed outlet.C.T. Haan, B.J. Barfield, J.C. Hayes, 1994, Design Hydrology and Sedimentology for Small Catchments, Academic Press It is a function of the topography, geology, and land use within the watershed. A number of methods can be used to calculate time of concentration, including the Kirpich (1940){{cite journal |last1=Kirpich |first1=Z.P. |title=Time of concentration of small agricultural watersheds |journal=Civil Engineering |date=1940 |volume=10 |issue=6 |page=362}} and NRCS (1997){{cite report |author=NRCS (National Research Conservation Service) |date=1997 |title=Ponds—Planning, design, construction |publisher=US Department of Agriculture |series=Agriculture Handbook Number 590 |url=https://www.nrcs.usda.gov/Internet/FSE_DOCUMENTS/16/stelprdb1246427.pdf |archive-url=https://web.archive.org/web/20210506185916/https://www.nrcs.usda.gov/Internet/FSE_DOCUMENTS/16/stelprdb1246427.pdf |url-status=dead |archive-date=May 6, 2021 |page=20}} methods.

Time of concentration is useful in predicting flow rates that would result from hypothetical storms, which are based on statistically derived return periods through IDF curves.Sherman, C. (1931): Frequency and intensity of excessive rainfall at Boston, Massachusetts, Transactions, American Society of Civil Engineers, 95, 951–960.{{Cite journal|last=Monjo|first=R.|date=2016|title=Measure of rainfall time structure using the dimensionless n-index |journal=Climate Research|volume=67|issue=1 |pages=71–86|doi=10.3354/cr01359|doi-access=free|bibcode=2016ClRes..67...71M }} [https://www.int-res.com/articles/cr_oa/c067p071.pdf (pdf)] For many (often economic) reasons, it is important for engineers and hydrologists to be able to accurately predict the response of a watershed to a given rain event. This can be important for infrastructure development (design of bridges, culverts, etc.) and management, as well as to assess flood risk such as the ARkStorm-scenario.

Example

File:equaltimeofoutflowlines.gif

This image shows the basic principle which leads to determination of the time of concentration. Much like a topographic map showing lines of equal elevation, a map with isolines can be constructed to show locations with the same travel time to the watershed outlet. In this simplified example, the watershed outlet is located at the bottom of the picture with a stream flowing through it. Moving up the map, we can say that rainfall which lands on all of the places along the first yellow line will reach the watershed outlet at exactly the same time. This is true for every yellow line, with each line further away from the outlet corresponding to a greater travel time for runoff traveling to the outlet.

Furthermore, as this image shows, the spatial representation of travel time can be transformed into a cumulative distribution plot detailing how travel times are distributed throughout the area of the watershed.

References

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