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Entrenchment Ratio Calculator

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The Entrenchment Ratio Calculator helps determine how confined or connected a stream channel is to its surrounding floodplain. It’s commonly use in fluvial geomorphology, watershed planning, river restoration, and environmental impact assessments. The entrenchment ratio provides insight into the degree of channel incision and potential for overbank flooding, making it an important tool for hydrologists, civil engineers, and environmental scientists.

This calculator belongs to the Hydrology and Geomorphology Analysis category and supports decision-making for sustainable river management.

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Formula of Entrenchment Ratio Calculator

Entrenchment Ratio = Flood-Prone Width / Bankfull Width

Detailed Breakdown:

  • Entrenchment Ratio: A dimensionless number showing how wide the flood-prone area is compare to the bankfull channel.
  • Flood-Prone Width: The width of the channel at a height equal to 2 times the bankfull depth. This represents how far floodwaters can spread during major flow events.
  • Bankfull Width: The width of the stream when it is just full, right before water begins to spill into the floodplain.

Interpretation of Results:

Entrenchment RatioInterpretation
< 1.4Highly entrenched, confined channel
1.4–2.2Moderately entrenched
> 2.2Well connected to floodplain

This helps planners assess how easily a river can flood its surroundings and whether interventions are need to restore floodplain function or manage erosion risks.

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Quick Reference Table

Flood-Prone Width (m)Bankfull Width (m)Entrenchment RatioChannel Type
28201.4Confined
44202.2Moderately connected
60203.0Well connected
18151.2Entrenched
80253.2Floodplain-active

This table helps users quickly compare ratios for different channel widths and assess entrenchment levels.

Example of Entrenchment Ratio Calculator

Let’s say a river has a bankfull width of 15 meters, and the flood-prone width at 2× bankfull depth is 36 meters.

Entrenchment Ratio = 36 / 15 = 2.4

This result shows the stream is well connect to its floodplain, with a lower risk of channel entrenchment.

Now consider a smaller stream with a bankfull width of 10 meters and a flood-prone width of 12 meters.

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Entrenchment Ratio = 12 / 10 = 1.2

This channel is entrench, indicating limited access to the floodplain and potential issues with erosion or flow confinement.

Most Common FAQs

What does a low entrenchment ratio mean?

A low ratio (below 1.4) means the stream is deeply incised and confined to its channel. This often reduces floodplain interaction and increases erosion risk.

Why is flood-prone width measured at 2× bankfull depth?

This level is considered a standard approximation of significant overbank flow. It represents the elevation where the river begins to influence its broader valley floor during floods.

Can this calculator be used for urban streams?

Yes. It is helpful in both natural and urban environments to evaluate channelization effects, restoration needs, or potential for flooding.

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