Question

The formula for discharge for two wells at distance B is given by ____________

(a) \(q_1=q_2=\frac{2πkb(H-h)}{log_e \frac{R^2}{rB}} \)

(b) \(q_1=q_2=\frac{2πkb(H-h)B}{log_e  \frac{r}{R}}\)

(c) \(q_1=q_2=\frac{2πkb(H-h)}{log_e  \frac{RB}{r}}\)

(d) \(q_1=q_2=\frac{kb(H-h)}{log_e  \frac{R}{rB}} \)

The question was asked in semester exam.

The question is from Well Hydraulics in chapter Well Hydraulics of Geotechnical Engineering I

Answer 1

Correct answer is (a) \(q_1=q_2=\frac{2πkb(H-h)}{log_e \frac{R^2}{rB}} \)

The explanation is: The formula for discharge for two wells at distance B is given by,

\(q_1=q_2=\frac{2πkb(H-h)}{log_e \frac{R^2}{rB}} \)

where, q1=q2=discharge in wells 1 and 2 respectively

k=coefficient of permeability

b=aquifer thickness

R=radius of influence

r=radius of tube well

(H-h)=drawdown.