A stormwater outfall discharges runoff into a pristine river with negligible dissolved solids such that the suspended solids concentration of the combined water just downstream of the outfall if 100 mg/L. The settling velocity of the suspended solids is estimated to be 2 m/d, the flow velocity in the river if 0.4 m/s and the river is 10 m wide and 2 m deep.  1. Estimate how far downstream from the outfall will it be before all of the suspended solids settle out. Estimate the rate at which sediment is accumulating downstream of the outfall.

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
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Chapter7: Seepage
Section: Chapter Questions
Problem 7.6P
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(CHIN 3rd ed, 3.35) A stormwater outfall discharges runoff into a pristine river with negligible dissolved solids such that the suspended solids concentration of the combined water just downstream of the outfall if 100 mg/L. The settling velocity of the suspended solids is estimated to be 2 m/d, the flow velocity in the river if 0.4 m/s and the river is 10 m wide and 2 m deep. 
1. Estimate how far downstream from the outfall will it be before all of the suspended solids settle out.
Estimate the rate at which sediment is accumulating downstream of the outfall.

Expert Solution
Step 1

Given :

The concentration of suspended solids, X = 100 mg/L

Settling velocity, Vs = 2 m/day

Flow velocity, Vf = 0.4 m/sec

Width of river, B = 10 m

Depth of river, H = 2 m

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