based on the assigned readings, why does stream discharge increase at a faster rate than stream stage?

Answer :

Because river velocity grows quicker at higher stages than at lower stages, stream discharge rises more quickly than stream stage.

A stream's discharge is calculated by multiplying its velocity (V, measured in feet per second), depth of the water (D, measured in units of length), and breadth (W of the water - units of length). (Be sure to express all three lengths in the same unit.)

Discharge: V, D, and W

Discharge has units of feet3/sec or cubic ft per second if length is measured in feet and time in seconds.

The cross-sectional area is calculated as Depth times Width. Due to the velocity reduction caused by friction at the channel's edges, the channel's form is crucial.

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