Question

Elon Musk wants to change the world. He knows he needs water to do it, so he builds a 1000 m channel next to (parallel to) the Susquehanna River, but 1 km away. The hydraulic conductivity between the river and the channel has K value of 7 meters per day. It is only 10 meters thick. Rivers fluctuate in height based on flow. Estimate the seepage of water (in m3/day) through the ground from the river to the channel when the River is 5 meters higher than the channel and when its 15 meters higher than the channel.

Answer 1

Answer:

$350m^3/s$and $1050m^3/s$

Explanation:

We have here two cases.

So for the first case the conditions are: River 5m higher than channel

Discharge is given by,

$q=kiA\\q=k\frac{h}{L}A\\q=7\frac{5}{1000}(1000*10)\\q=350m^3/day$

For the second case the conditions are: River 15m higher than channel,

Discharge is given by

$q=k\frac{h}{L}A\\q=7\frac{15}{1000}(1000*10)\\q=1050m^3/day$