Question

A confided aquifer has a piezometric height of 30 feet before being pumped. The well is then pumped at 250 gallons/day for a very long time and results in a drawdown of 10 feet at the well. If the transmissivity in the aquifer is 10.0 ft2/day and the radius of the well is 0.5 feet, estimate the drawdown in feet for a well 50 feet away

Answer 1

Answer:

$d_2=-8.32ft$

Step-by-step explanation:

From the question we are told that:

Height of first draw down $h=30$

Pump Discharge $Q=250gallons/day$

Well 1 depth $d_1=10ft$

Transmissivity$\=T 10.0 ft2/day$

Radius$r=0.5$

Well 2 depth $d_2=50ft$

Generally the Thiem's equation for Discharge is mathematically given by

 $Q=\frac{2\piT(h_2-h_1)}{ln(\frac{r_2}{r_1})}$

 $250=\frac{2*\pi 10 (10-d_2)}{ln(\frac{50}{0.5})}$

 $1151.293=2*\pi 10 (10-d_2)$

 $d_2=-8.32ft$