Rill

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Rill

A rill is a narrow and shallow incision into soil resulting from erosion

Erosion

For morphological image processing operations, see Erosion 'For use of in dermatopathology, see Erosion Erosion is the removal of solids in the natural environment....
by overland flow that has been focused into a thin thread by soil surface roughness

Roughness

Roughness is a measure of the texture of a surface. It is quantified by the vertical deviations of a real surface from its ideal form. If these deviations are large, the surface is rough; if they are small the surface is smooth....
. Rilling, the process of rill formation, is common on agricultural land and unvegetated ground.

Some rills will continue to grow, as they are widened and/or deepened by the runoff which flows through them.

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Encyclopedia

A rill is a narrow and shallow incision into soil resulting from erosion

Erosion

Roughness

Sediment

Sediment is any particulate matter that can be sediment transport by fluid dynamics, and which eventually is deposited.Sediments are most often transported by water transported by wind and glaciers....
is deposited within them. Eventually, a hydrologically efficient rill network will be formed. The development of such a network is an example of self-organisation.

In a few cases, rills may continue to grow and become gullies

Gully

A gully is a landform created by running water erosion sharply into soil, typically on a hillside. Gullies resemble large ditches or small valleys, but are metres to tens of metres in depth and width....
or rivulets then stream

Stream

A stream is a body of water less than 60 feet wide with a current , confined within a stream bed and stream banks. Depending on its locale or certain characteristics, a stream may be referred to as brook, beck, Burn , creek, crick, kill, lick , rill, river syke, bayou, rivu...
s and so on to form a river

River

A river is a natural stream of water, usually freshwater, flowing toward an ocean, a lake, or another stream. In some cases a river flows into the ground or dries up completely before reaching another body of water....
.