Answer:
Part (a) The flow rate per unit width of the aquifer is 1.0875 m³/day
Part (b) The specific discharge of the flow is 0.0363 m/day
Part (c) The average linear velocity of the flow is 0.242 m/day
Part (d) The time taken for a tracer to travel the distance between the observation wells is 4132.23 days = 99173.52 hours
Explanation:
Part (a) the flow rate per unit width of the aquifer
From Darcy's law;
![q = -Kb\frac{dh}{dl}](https://tex.z-dn.net/?f=q%20%3D%20-Kb%5Cfrac%7Bdh%7D%7Bdl%7D)
where;
q is the flow rate
K is the permeability or conductivity of the aquifer = 25 m/day
b is the aquifer thickness
dh is the change in th vertical hight = 50.9m - 52.35m = -1.45 m
dl is the change in the horizontal hight = 1000 m
q = -(25*30)*(-1.45/1000)
q = 1.0875 m³/day
Part (b) the specific discharge of the flow
![V = \frac{Q}{A} = \frac{q}{b} = -K\frac{dh}{dl}\\\\V = -(25 m/d).(\frac{-1.45 m}{1000 m}) = 0.0363 m/day](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7BQ%7D%7BA%7D%20%3D%20%5Cfrac%7Bq%7D%7Bb%7D%20%3D%20-K%5Cfrac%7Bdh%7D%7Bdl%7D%5C%5C%5C%5CV%20%3D%20-%2825%20m%2Fd%29.%28%5Cfrac%7B-1.45%20m%7D%7B1000%20m%7D%29%20%3D%200.0363%20m%2Fday)
V = 0.0363 m/day
Part (c) the average linear velocity of the flow assuming steady unidirectional flow
Va = V/Φ
Φ is the porosity = 0.15
Va = 0.0363 / 0.15
Va = 0.242 m/day
Part (d) the time taken for a tracer to travel the distance between the observation wells
The distance between the two wells = 1000 m
average linear velocity = 0.242 m/day
Time = distance / speed
Time = (1000 m) / (0.242 m/day)
Time = 4132.23 days
![= 4132.23 days *\frac{24 .hrs}{1.day} = 99173.52, hours](https://tex.z-dn.net/?f=%3D%204132.23%20days%20%2A%5Cfrac%7B24%20.hrs%7D%7B1.day%7D%20%3D%2099173.52%2C%20hours)